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w-[150px]"></div><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[200px]"></div></div></div></div></div></div></div></div><div class="max-w-[1228px] mx-auto"><div id="enroll" class="mx-auto mt-0 sm:mt-6 px-4 bg-[#fbfaf9] md:bg-white"><div class="flex flex-col mt-0 mb-0 sm:mt-5 sm:mb-4 sm:mb-1 sm:flex-row sm:wrap sm:-mx-4"><div class="sm:px-4 mb-4"></div></div><div class="mt-0 mb-2 text-lg sm:mb-2 font-bold">There is one session available:</div><div class="mb-4"><p class="!text-sm !text-primary flex sm:hidden whitespace-pre">55,258 already enrolled!</p><p class="!text-sm !text-primary hidden sm:flex whitespace-pre">55,258 already enrolled! After a course session ends, it will be <a class="text-primary underline hover:text-info active:text-info flex" target="_blank" rel="noopener noreferrer" href="https://support.edx.org/hc/en-us/articles/207201017-What-does-archived-mean">archived<svg width="18" height="18" viewBox="0 0 24 18" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M19 19H5V5h7V3H3v18h18v-9h-2v7zM14 3v2h3.59l-9.83 9.83 1.41 1.41L19 6.41V10h2V3h-7z" fill="currentColor"></path></svg></a>.</p></div><div class="grid grid-cols-1 md:grid-cols-1 md:grid-cols-[repeat(auto-fill,minmax(275.5px,1fr))] gap-6"><div class="md:w-[275.5px]"><div class="rounded-xl border text-card-foreground shadow p-6 flex bg-white flex-col justify-between"><div class="mb-5 text-center w-full"><div class="text-base font-bold">Starts Sep 1</div><div class="text-sm">Ends Dec 22</div></div><div class="w-full"><div class="flex items-center"><div class="animate-pulse bg-primary/10 h-11 w-56 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href="#ways-to-enroll">Ways to enroll</a></nav><div class="lg:hidden grow py-4 flex items-center justify-center"><button type="button" role="combobox" aria-controls="radix-:R54jjtttrkva:" aria-expanded="false" aria-autocomplete="none" dir="ltr" data-state="closed" data-placeholder="" class="flex h-9 w-full items-center justify-between whitespace-nowrap rounded border border-input px-3 py-2 shadow-sm ring-offset-background placeholder:text-putty-dark focus:outline-none focus:ring-1 focus:ring-ring disabled:cursor-not-allowed disabled:opacity-50 [&>span]:line-clamp-1 bg-white text-base"><span style="pointer-events:none">About</span><svg width="15" height="15" viewBox="0 0 15 15" fill="none" xmlns="http://www.w3.org/2000/svg" class="h-4 w-4 opacity-50" aria-hidden="true"><path d="M4.93179 5.43179C4.75605 5.60753 4.75605 5.89245 4.93179 6.06819C5.10753 6.24392 5.39245 6.24392 5.56819 6.06819L7.49999 4.13638L9.43179 6.06819C9.60753 6.24392 9.89245 6.24392 10.0682 6.06819C10.2439 5.89245 10.2439 5.60753 10.0682 5.43179L7.81819 3.18179C7.73379 3.0974 7.61933 3.04999 7.49999 3.04999C7.38064 3.04999 7.26618 3.0974 7.18179 3.18179L4.93179 5.43179ZM10.0682 9.56819C10.2439 9.39245 10.2439 9.10753 10.0682 8.93179C9.89245 8.75606 9.60753 8.75606 9.43179 8.93179L7.49999 10.8636L5.56819 8.93179C5.39245 8.75606 5.10753 8.75606 4.93179 8.93179C4.75605 9.10753 4.75605 9.39245 4.93179 9.56819L7.18179 11.8182C7.35753 11.9939 7.64245 11.9939 7.81819 11.8182L10.0682 9.56819Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button><select aria-hidden="true" tabindex="-1" style="position:absolute;border:0;width:1px;height:1px;padding:0;margin:-1px;overflow:hidden;clip:rect(0, 0, 0, 0);white-space:nowrap;word-wrap:normal"><option value=""></option></select></div></div></div></div><div class="styles_courseDetailCenteredContent__zTCJS"><div id="about" class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><h2 class="pt-6 mt-4 text-primary mb-2 text-3xl font-bold">About this course</h2><div><div class="styles_infocontainer__background__fpJLY block py-2 md:hidden"><div class="flex max-w-[1228px] mx-auto w-full"><div class="fullwidth px-4 md:px-0 background-light py-2 styles_infocontainer__U4mQW"><div class="w-full"><div class="md:flex flex-nowrap m-auto w-full"><div class="flex items-center space-x-4 mr-36"><div class="animate-pulse bg-primary/10 h-12 w-12 rounded-full"></div><div class="space-y-2"><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[150px]"></div><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[200px]"></div></div></div><div class="flex items-center space-x-4 mr-36"><div class="animate-pulse bg-primary/10 h-12 w-12 rounded-full"></div><div class="space-y-2"><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[150px]"></div><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[200px]"></div></div></div><div class="flex items-center space-x-4 mr-36"><div class="animate-pulse bg-primary/10 h-12 w-12 rounded-full"></div><div class="space-y-2"><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[150px]"></div><div class="animate-pulse rounded-md bg-primary/10 h-2 w-[200px]"></div></div></div></div></div></div></div></div><div><div class="prose" style="word-break:keep-all"><p><em>If you have specific questions about this course, please contact us at</em> <em><a href="mailto:sds-mm@mit.edu">sds-mm@mit.edu</a>.</em></p> <p>Data science requires multi-disciplinary skills ranging from mathematics, statistics, machine learning, problem solving to programming, visualization, and communication skills. In this course, learners will combine these foundational and practical skills with domain knowledge to ask and answer questions using real data.</p> <p>This course will start with a review of common statistical and computational tools such as hypothesis testing, regression, and gradient descent methods. Then, learners will study common models and methods to analyze specific types of data in four different domain areas:</p> <ul> <li>Epigenetic Codes and Data Visualization</li> <li>Criminal Networks and Network Analysis</li> <li>Prices, Economics and Time Series</li> <li>Environmental Data and Spatial Statistics</li> </ul> <p>Learners will be guided to analyze a real data set from each of these areas of focus, and present their findings in written reports. They will also discuss relevant and practical issues with peers.</p> <p><strong>This course is part of the MITx MicroMasters Program in Statistics and Data Science. It is at a similar pace and level of rigor as an on-campus course at MIT. Master the skills needed to be an informed and effective practitioner of data science. You will complete this course and three others from MITx and then take a virtually-proctored exam to earn your MicroMasters, an academic credential that will demonstrate your proficiency in data science or accelerate your path towards an MIT PhD or a Master's at other universities. To learn more about this program, please visit</strong> <strong><a href="https://micromasters.mit.edu/ds/">https://micromasters.mit.edu/ds/</a>.</strong></p></div><div class="pt-2 hidden md:block"></div></div></div><div class="pt-6 sm:pt-4 sm:mt-4 text-base"><h3 class="pb-2 mb-0 sm:mb-2 mt-0 text-lg text-black">At a glance</h3><div class="bg-block text-primary py-4 px-2 flex flex-wrap"><div class="grow-0 shrink-0 sm:basis-1/2 max-w-full sm:max-w-[50%] px-4"><ul class="block text-black list-disc !ps-4"><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Institution:</span><a class="pointer text-black-100 underline" href="/school/mitx">MITx</a></li><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Subject:</span><a href="/learn/data-analysis" class="pointer text-black-100 underline">Data Analysis & Statistics</a></li><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Level:</span><span class="">Advanced</span></li><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Prerequisites:</span><span class=""><ul> <li>Undergraduate Python programming</li> <li>Undergraduate multi-variable calculus, and linear algebra</li> <li>Undergraduate probability theory and statistics</li> <li>Undergraduate machine learning</li> </ul></span></li></ul></div><div class="grow-0 shrink-0 sm:basis-1/2 max-w-full sm:max-w-[50%] px-4"><ul class="block text-black list-disc !ps-4"><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Language:</span><span class="">English</span></li><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Video Transcript:</span><span class="">English</span></li><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Associated programs:</span><br/><span>MicroMasters in </span><a href="/masters/micromasters/mitx-statistics-and-data-science-general-track" class="pointer text-black-100 underline">Statistics and Data Science (General Track)</a></li><li class="AtAGlance_parsed__AaBsT"><span class="font-bold mr-1">Associated skills:</span><span class="">Computational Tools, Data Analysis, Data Science, Economics, Machine Learning, Problem Solving, Sales, Statistical Hypothesis Testing, Statistical Modeling, Statistics</span></li></ul></div></div></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button type="button" aria-controls="radix-:Roljjtttrkva:" aria-expanded="false" data-state="closed" data-orientation="vertical" id="radix-:R8ljjtttrkva:" class="bg-[#fbfaf9] md:bg-putty-200 flex flex-1 py-2 px-5 mt-2 items-center justify-between text-lg text-left font-bold transition-all [&[data-state=open]>svg]:rotate-180" data-radix-collection-item="">About this course<svg width="15" height="15" viewBox="0 0 15 15" fill="none" xmlns="http://www.w3.org/2000/svg" class="h-5 w-5 shrink-0 text-brand font-bold transition-transform duration-200"><path d="M3.13523 6.15803C3.3241 5.95657 3.64052 5.94637 3.84197 6.13523L7.5 9.56464L11.158 6.13523C11.3595 5.94637 11.6759 5.95657 11.8648 6.15803C12.0536 6.35949 12.0434 6.67591 11.842 6.86477L7.84197 10.6148C7.64964 10.7951 7.35036 10.7951 7.15803 10.6148L3.15803 6.86477C2.95657 6.67591 2.94637 6.35949 3.13523 6.15803Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button></h3><div data-state="closed" id="radix-:Roljjtttrkva:" hidden="" role="region" aria-labelledby="radix-:R8ljjtttrkva:" data-orientation="vertical" class="overflow-hidden text-sm data-[state=closed]:animate-accordion-up data-[state=open]:animate-accordion-down" style="--radix-accordion-content-height:var(--radix-collapsible-content-height);--radix-accordion-content-width:var(--radix-collapsible-content-width)"></div></div></div></div></div><div id="what-youll-learn" class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><h2 class="pt-6 mt-4 text-primary mb-2 text-3xl font-bold">What you'll learn</h2><div class="relative pt-2"><div class="relative flex flex-col break-all max-h-32 overflow-hidden" style="transition:max-height 0.5s ease"><div class="prose" style="word-break:keep-all"><ul> <li>Model, form hypotheses, perform statistical analysis on real data </li> <li>Use dimension reduction techniques such as principal component analysis to visualize high-dimensional data and apply this to genomics data</li> <li>Analyze networks (e.g. social networks) and use centrality measures to describe the importance of nodes, and apply this to criminal networks</li> <li>Model time series using moving average, autoregressive and other stationary models for forecasting with financial data</li> <li>Use Gaussian processes to model environmental data and make predictions</li> <li>Communicate analysis results effectively</li> </ul></div></div></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button type="button" aria-controls="radix-:Rp5jjtttrkva:" aria-expanded="false" data-state="closed" data-orientation="vertical" id="radix-:R95jjtttrkva:" class="bg-[#fbfaf9] md:bg-putty-200 flex flex-1 py-2 px-5 mt-2 items-center justify-between text-lg text-left font-bold transition-all [&[data-state=open]>svg]:rotate-180" data-radix-collection-item="">What you'll learn<svg width="15" height="15" viewBox="0 0 15 15" fill="none" xmlns="http://www.w3.org/2000/svg" class="h-5 w-5 shrink-0 text-brand font-bold transition-transform duration-200"><path d="M3.13523 6.15803C3.3241 5.95657 3.64052 5.94637 3.84197 6.13523L7.5 9.56464L11.158 6.13523C11.3595 5.94637 11.6759 5.95657 11.8648 6.15803C12.0536 6.35949 12.0434 6.67591 11.842 6.86477L7.84197 10.6148C7.64964 10.7951 7.35036 10.7951 7.15803 10.6148L3.15803 6.86477C2.95657 6.67591 2.94637 6.35949 3.13523 6.15803Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button></h3><div data-state="closed" id="radix-:Rp5jjtttrkva:" hidden="" role="region" aria-labelledby="radix-:R95jjtttrkva:" data-orientation="vertical" class="overflow-hidden text-sm data-[state=closed]:animate-accordion-up data-[state=open]:animate-accordion-down" style="--radix-accordion-content-height:var(--radix-collapsible-content-height);--radix-accordion-content-width:var(--radix-collapsible-content-width)"></div></div></div></div></div></div><div class="mx-auto max-w-3xl md:px-4 lg:max-w-screen-xl"><div id="instructors" class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><h2 class="pt-6 mt-4 text-primary text-3xl font-bold text-center mb-4">About the instructors</h2><div><div class=" w-full px-2 md:px-4 grid gap-3 lg:grid-cols-3 lg:place-items-center md:grid-cols-2 md:place-items-center sm:grid-cols-1 "><a class="w-full md:max-w-[399px] min-h-[292px] px-6 py-5 rounded-xl border border-solid hover:underline flex items-center justify-center bg-primary" href="/bio/stefanie-jegelka"><div class="w-full h-full flex self-start text-center flex-col justify-center"><div class="h-24 w-24 mx-auto"><img alt="19be8bb8-74c9-4b11-a37f-49d83f432fbd" title="19be8bb8-74c9-4b11-a37f-49d83f432fbd" loading="lazy" width="96" height="96" decoding="async" data-nimg="1" class="max-w-[96px] max-h-[96px] md:max-w-[96px] md:max-h-[96px] m-0 md:m-auto rounded-full" style="color:transparent;width:100%;height:auto" sizes="100vw" srcSet="/_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=640&q=75 640w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=750&q=75 750w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=828&q=75 828w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=1080&q=75 1080w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=1200&q=75 1200w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=1920&q=75 1920w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=2048&q=75 2048w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=3840&q=75 3840w" src="/_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F0da92fa1-0d38-4c44-96d9-7c16ecb2a4b8-653dcf9fabd1.png&w=3840&q=75"/></div><span class="flex items-center justify-center text-lg text-white font-bold mt-8 mb-4 min-h-[55px]">Stefanie Jegelka</span><p class="text-base !text-white leading-7 h-20 line-clamp-3">X-Consortium Career Development Associate Professor • Massachusetts Institute of Technology</p></div></a><a class="w-full md:max-w-[399px] min-h-[292px] px-6 py-5 rounded-xl border border-solid hover:underline flex items-center justify-center bg-primary" href="/bio/caroline-uhler"><div class="w-full h-full flex self-start text-center flex-col justify-center"><div class="h-24 w-24 mx-auto"><img alt="8dfa3934-d1f0-40ca-bed4-16d0b7b0a67d" title="8dfa3934-d1f0-40ca-bed4-16d0b7b0a67d" loading="lazy" width="96" height="96" decoding="async" data-nimg="1" class="max-w-[96px] max-h-[96px] md:max-w-[96px] md:max-h-[96px] m-0 md:m-auto rounded-full" style="color:transparent;width:100%;height:auto" sizes="100vw" srcSet="/_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=640&q=75 640w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=750&q=75 750w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=828&q=75 828w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=1080&q=75 1080w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=1200&q=75 1200w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=1920&q=75 1920w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=2048&q=75 2048w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=3840&q=75 3840w" src="/_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2Fd87a5f03-84c1-423d-ac8b-7855b0d97459-3bcb62082227.jpeg&w=3840&q=75"/></div><span class="flex items-center justify-center text-lg text-white font-bold mt-8 mb-4 min-h-[55px]">Caroline Uhler</span><p class="text-base !text-white leading-7 h-20 line-clamp-3">Henry L. & Grace Doherty Associate Professor • Massachusetts Institute of Technology</p></div></a><a class="w-full md:max-w-[399px] min-h-[292px] px-6 py-5 rounded-xl border border-solid hover:underline flex items-center justify-center bg-primary" href="/bio/karene-chu"><div class="w-full h-full flex self-start text-center flex-col justify-center"><div class="h-24 w-24 mx-auto"><img alt="7bc4ce97-d268-4b12-9b51-29c4b62f98da" title="7bc4ce97-d268-4b12-9b51-29c4b62f98da" loading="lazy" width="96" height="96" decoding="async" data-nimg="1" class="max-w-[96px] max-h-[96px] md:max-w-[96px] md:max-h-[96px] m-0 md:m-auto rounded-full" style="color:transparent;width:100%;height:auto" sizes="100vw" srcSet="/_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=640&q=75 640w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=750&q=75 750w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=828&q=75 828w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=1080&q=75 1080w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=1200&q=75 1200w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=1920&q=75 1920w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=2048&q=75 2048w, /_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=3840&q=75 3840w" src="/_next/image?url=https%3A%2F%2Fprod-discovery.edx-cdn.org%2Fcdn-cgi%2Fimage%2Fwidth%3Dauto%2Cheight%3Dauto%2Cquality%3D75%2Cformat%3Dwebp%2Fmedia%2Fpeople%2Fprofile_images%2F34895b81-f437-4ca6-bfac-8d0f0bb04bb4-78eae209619e.png&w=3840&q=75"/></div><span class="flex items-center justify-center text-lg text-white font-bold mt-8 mb-4 min-h-[55px]">Karene Chu</span><p class="text-base !text-white leading-7 h-20 line-clamp-3">Digital Learning Scientist and Research Scientist • Massachusetts Institute of Technology</p></div></a></div></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button type="button" aria-controls="radix-:R36jjtttrkva:" aria-expanded="false" data-state="closed" data-orientation="vertical" id="radix-:R16jjtttrkva:" class="bg-[#fbfaf9] md:bg-putty-200 flex flex-1 py-2 px-5 mt-2 items-center justify-between text-lg text-left font-bold transition-all [&[data-state=open]>svg]:rotate-180" data-radix-collection-item="">Instructors<svg width="15" height="15" viewBox="0 0 15 15" fill="none" xmlns="http://www.w3.org/2000/svg" class="h-5 w-5 shrink-0 text-brand font-bold transition-transform duration-200"><path d="M3.13523 6.15803C3.3241 5.95657 3.64052 5.94637 3.84197 6.13523L7.5 9.56464L11.158 6.13523C11.3595 5.94637 11.6759 5.95657 11.8648 6.15803C12.0536 6.35949 12.0434 6.67591 11.842 6.86477L7.84197 10.6148C7.64964 10.7951 7.35036 10.7951 7.15803 10.6148L3.15803 6.86477C2.95657 6.67591 2.94637 6.35949 3.13523 6.15803Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button></h3><div data-state="closed" id="radix-:R36jjtttrkva:" hidden="" role="region" aria-labelledby="radix-:R16jjtttrkva:" data-orientation="vertical" class="overflow-hidden text-sm data-[state=closed]:animate-accordion-up data-[state=open]:animate-accordion-down" style="--radix-accordion-content-height:var(--radix-collapsible-content-height);--radix-accordion-content-width:var(--radix-collapsible-content-width)"></div></div></div></div></div></div><div class="styles_courseDetailCenteredContent__zTCJS"><div class="hidden md:block"><div class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><div class="flex flex-col justify-center align-center md:mb-12"><h2 class="text-primary text-base md:text-3xl font-bold hidden md:block">Who can take this course?</h2><p class="text-primary text-base md:text-3xl font-bold block md:hidden mt-3">Who can take this course?</p><p>Unfortunately, learners residing in one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. edX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.</p></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button type="button" aria-controls="radix-:R1j7jjtttrkva:" aria-expanded="false" data-state="closed" data-orientation="vertical" id="radix-:Rj7jjtttrkva:" class="bg-[#fbfaf9] md:bg-putty-200 flex flex-1 py-2 px-5 mt-2 items-center justify-between text-lg text-left font-bold transition-all [&[data-state=open]>svg]:rotate-180" data-radix-collection-item=""><svg width="15" height="15" viewBox="0 0 15 15" fill="none" xmlns="http://www.w3.org/2000/svg" class="h-5 w-5 shrink-0 text-brand font-bold transition-transform duration-200"><path d="M3.13523 6.15803C3.3241 5.95657 3.64052 5.94637 3.84197 6.13523L7.5 9.56464L11.158 6.13523C11.3595 5.94637 11.6759 5.95657 11.8648 6.15803C12.0536 6.35949 12.0434 6.67591 11.842 6.86477L7.84197 10.6148C7.64964 10.7951 7.35036 10.7951 7.15803 10.6148L3.15803 6.86477C2.95657 6.67591 2.94637 6.35949 3.13523 6.15803Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button></h3><div data-state="closed" id="radix-:R1j7jjtttrkva:" hidden="" role="region" aria-labelledby="radix-:Rj7jjtttrkva:" data-orientation="vertical" class="overflow-hidden text-sm data-[state=closed]:animate-accordion-up data-[state=open]:animate-accordion-down" style="--radix-accordion-content-height:var(--radix-collapsible-content-height);--radix-accordion-content-width:var(--radix-collapsible-content-width)"></div></div></div></div></div></div><div class="block md:hidden"><div id="faq" class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><h2 class="pt-6 mt-4 text-primary mb-2 text-3xl font-bold">Frequently Asked Questions</h2><div class="flex flex-col justify-center align-center md:mb-12"><h2 class="text-primary text-base md:text-3xl font-bold hidden md:block">Who can take this course?</h2><p class="text-primary text-base md:text-3xl font-bold block md:hidden mt-3">Who can take this course?</p><p>Unfortunately, learners residing in one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. edX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.</p></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button type="button" aria-controls="radix-:R1l7jjtttrkva:" aria-expanded="false" data-state="closed" data-orientation="vertical" id="radix-:Rl7jjtttrkva:" class="bg-[#fbfaf9] md:bg-putty-200 flex flex-1 py-2 px-5 mt-2 items-center justify-between text-lg text-left font-bold transition-all [&[data-state=open]>svg]:rotate-180" data-radix-collection-item="">Frequently Asked Questions<svg width="15" height="15" viewBox="0 0 15 15" fill="none" xmlns="http://www.w3.org/2000/svg" class="h-5 w-5 shrink-0 text-brand font-bold transition-transform duration-200"><path d="M3.13523 6.15803C3.3241 5.95657 3.64052 5.94637 3.84197 6.13523L7.5 9.56464L11.158 6.13523C11.3595 5.94637 11.6759 5.95657 11.8648 6.15803C12.0536 6.35949 12.0434 6.67591 11.842 6.86477L7.84197 10.6148C7.64964 10.7951 7.35036 10.7951 7.15803 10.6148L3.15803 6.86477C2.95657 6.67591 2.94637 6.35949 3.13523 6.15803Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button></h3><div data-state="closed" id="radix-:R1l7jjtttrkva:" hidden="" role="region" aria-labelledby="radix-:Rl7jjtttrkva:" data-orientation="vertical" class="overflow-hidden text-sm data-[state=closed]:animate-accordion-up data-[state=open]:animate-accordion-down" style="--radix-accordion-content-height:var(--radix-collapsible-content-height);--radix-accordion-content-width:var(--radix-collapsible-content-width)"></div></div></div></div></div></div></div><div class="hidden md:block lg:-mb-14"><div class="lg:flex relative overflow-hidden py-16 mt-12 bg-primary-400 text-white mx-auto w-full lg:pl-[10vw]"><div class="basis-1/2 lg:border-r-[8px] lg:border-primary-300 lg:last:border-0 lg:-skew-x-12"><div class="px-12 lg:skew-x-12"><div class="flex flex-col flex-1 lg:items-start justify-center text-left"><span class="text-putty-200 scroll-m-20 leading-tight text-[40px] font-bold mb-8"><span>This course is part of</span><span class="text-accent-yellow"> Statistics and Data Science (General Track) MicroMasters Program</span></span><a aria-label="Learn more" href="/masters/micromasters/mitx-statistics-and-data-science-general-track" target="_self" class="inline-flex items-center justify-center whitespace-nowrap rounded-md text-sm text-center font-medium transition-colors focus-visible:outline-none focus-visible:ring-1 focus-visible:ring-ring disabled:pointer-events-none disabled:opacity-50 bg-brand text-brand-foreground shadow border-2 border-brand hover:bg-white hover:text-brand h-auto px-4 py-2 not-prose undefined"><span class="inline-flex gap-2 items-center justify-center break-words whitespace-normal">Learn more<svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="m12 4-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8-8-8Z" fill="currentColor"></path></svg></span></a></div></div></div><div class="md:mt-8 lg:mt-0 lg:pl-24 md:pl-12"><div class="flex flex-col flex-1 items-start justify-center text-left space-y-8 mt-8 ml-8 md:mt-0 md:ml-0"><div class="text-putty-200 flex flex-row"><svg width="40" height="40" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M14.2632 3H4V14.8421H5.46617V4.48026H14.2632V3Z" fill="currentColor"></path><path d="M18.9999 6.1579H7.15784V21.1579H18.9999V6.1579ZM8.6381 7.6579H12.3388V13.6579L10.4884 12.5329L8.6381 13.6579V7.6579Z" fill="currentColor"></path></svg><div class="ml-5"><span class="mt-0 font-bold text-lg">Expert instruction</span><br/><span class="text-sm">5 guaduate-level courses</span></div></div><div class="text-putty-200 flex flex-row"><svg width="40" height="40" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M12 12c2.21 0 4-1.79 4-4s-1.79-4-4-4-4 1.79-4 4 1.79 4 4 4Zm0 2c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4Z" fill="currentColor"></path></svg><div class="ml-5"><span class="mt-0 font-bold text-lg">Instructor-led</span><br/><span class="text-sm">Assignemnts and exams have specific due dates</span></div></div><div class="text-putty-200 flex flex-row"><svg width="40" height="40" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M16.24 7.76A5.974 5.974 0 0 0 12 6v6l-4.24 4.24c2.34 2.34 6.14 2.34 8.49 0a5.99 5.99 0 0 0-.01-8.48ZM12 2C6.48 2 2 6.48 2 12s4.48 10 10 10 10-4.48 10-10S17.52 2 12 2Zm0 18c-4.42 0-8-3.58-8-8s3.58-8 8-8 8 3.58 8 8-3.58 8-8 8Z" fill="currentColor"></path></svg><div class="ml-5"><span class="mt-0 font-bold text-lg">1 year 5 months</span><br/><span class="text-sm">10 - 14 hours per week</span></div></div></div></div></div></div><div id="ways-to-enroll" class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><h2 class="pt-6 mt-4 text-primary mb-2 text-3xl font-bold sm:hidden">Ways to take this course</h2><div class="mx-auto pb-8 max-w-3xl md:px-4 lg:max-w-screen-xl lg:mt-14"><div class="flex flex-col lg:flex-row"><div class="pt-2 md:pt-6 lg:w-1/4 styles_courseModesLeftPanel__pMZEc lg:pr-6"><h2 class="hidden text-3xl md:block pt-6 mb-2">Ways to take this course</h2><span class="text-base">Choose your path when you enroll.</span><div class="flex items-center"><div class="animate-pulse bg-primary/10 h-11 w-56 rounded-none"></div></div></div><div class="pt-4 md:pt-12 lg:w-3/4 lg:pl-16"><div class="grid grid-cols-[1fr_2fr_2fr] md:grid-cols-3 divide-y lg:px-16"><div class="col-start-2 justify-items-center !border-t-0 md:px-2"><div class="bg-accent-yellow w-full max-w-[220px] md:h-[100px] text-center content-center"><div class="text-base md:text-lg font-bold">Certificate</div></div></div><div class="justify-items-center !border-t-0 md:px-2"><div class="bg-putty-200 w-full max-w-[220px] md:h-[100px] text-center content-center"><div class="text-base md:text-lg font-bold">Free</div></div></div><div class="content-center !border-t-0"><div class="text-sm md:text-base font-bold my-6">Price</div></div><div class="content-center text-center text-base md:text-lg !border-t-0">$300 USD</div><div class="content-center text-center text-base md:text-lg !border-t-0">-</div><div class="content-center"><div class="text-sm md:text-base font-bold my-6">Access to course materials</div></div><div class="content-center text-center text-base md:text-lg">Unlimited<button type="button" aria-haspopup="dialog" aria-expanded="false" aria-controls="radix-:R9r8pjjtttrkva:" data-state="closed" class="ml-2 relative top-1"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M11 7h2v2h-2V7Zm0 4h2v6h-2v-6Zm1-9C6.48 2 2 6.48 2 12s4.48 10 10 10 10-4.48 10-10S17.52 2 12 2Zm0 18c-4.41 0-8-3.59-8-8s3.59-8 8-8 8 3.59 8 8-3.59 8-8 8Z" fill="currentColor"></path></svg></button></div><div class="content-center text-center text-base md:text-lg">Limited<button type="button" aria-haspopup="dialog" aria-expanded="false" aria-controls="radix-:Ra38pjjtttrkva:" data-state="closed" class="ml-2 relative top-1"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M11 7h2v2h-2V7Zm0 4h2v6h-2v-6Zm1-9C6.48 2 2 6.48 2 12s4.48 10 10 10 10-4.48 10-10S17.52 2 12 2Zm0 18c-4.41 0-8-3.59-8-8s3.59-8 8-8 8 3.59 8 8-3.59 8-8 8Z" fill="currentColor"></path></svg></button><div class="text-xs text-gray mt-1">Expires on Dec 22</div></div><div class="content-center"><div class="text-sm md:text-base font-bold my-6">World-class institutions and universities</div></div><div class="content-center inline-grid text-center text-lg text-success-dark justify-items-center"><div class="rounded-full bg-success-light"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M8.9999 16.2001L4.7999 12.0001L3.3999 13.4001L8.9999 19.0001L20.9999 7.0001L19.5999 5.6001L8.9999 16.2001Z" fill="currentColor"></path></svg></div></div><div class="content-center inline-grid text-center text-lg text-success-dark justify-items-center"><div class="rounded-full bg-success-light"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M8.9999 16.2001L4.7999 12.0001L3.3999 13.4001L8.9999 19.0001L20.9999 7.0001L19.5999 5.6001L8.9999 16.2001Z" fill="currentColor"></path></svg></div></div><div class="content-center"><div class="text-sm md:text-base font-bold my-6">edX support</div></div><div class="content-center inline-grid text-center text-lg text-success-dark justify-items-center"><div class="rounded-full bg-success-light"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M8.9999 16.2001L4.7999 12.0001L3.3999 13.4001L8.9999 19.0001L20.9999 7.0001L19.5999 5.6001L8.9999 16.2001Z" fill="currentColor"></path></svg></div></div><div class="content-center inline-grid text-center text-lg text-success-dark justify-items-center"><div class="rounded-full bg-success-light"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M8.9999 16.2001L4.7999 12.0001L3.3999 13.4001L8.9999 19.0001L20.9999 7.0001L19.5999 5.6001L8.9999 16.2001Z" fill="currentColor"></path></svg></div></div><div class="content-center"><div class="text-sm md:text-base font-bold my-6">Shareable certificate upon completion</div></div><div class="content-center inline-grid text-center text-lg text-success-dark justify-items-center"><div class="rounded-full bg-success-light"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M8.9999 16.2001L4.7999 12.0001L3.3999 13.4001L8.9999 19.0001L20.9999 7.0001L19.5999 5.6001L8.9999 16.2001Z" fill="currentColor"></path></svg></div></div><div class="content-center inline-grid text-center text-lg justify-items-center"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M19 13H5v-2h14v2Z" fill="currentColor"></path></svg></div><div class="content-center"><div class="text-sm md:text-base font-bold my-6">Graded assignments and exams</div></div><div class="content-center inline-grid text-center text-lg text-success-dark justify-items-center"><div class="rounded-full bg-success-light"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M8.9999 16.2001L4.7999 12.0001L3.3999 13.4001L8.9999 19.0001L20.9999 7.0001L19.5999 5.6001L8.9999 16.2001Z" fill="currentColor"></path></svg></div></div><div class="content-center inline-grid text-center text-lg justify-items-center"><svg width="24" height="24" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true"><path d="M19 13H5v-2h14v2Z" fill="currentColor"></path></svg></div></div><div class="text-gray text-sm mt-2 lg:pl-16"><a class="mr-2 text-primary" href="https://support.edx.org/hc/en-us/sections/360002747833-About-Audit-and-Verified-Courses" target="_blank"><span class="mr-1 underline underline-offset-2">Read our FAQs</span><svg width="21" height="21" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg" role="img" focusable="false" aria-hidden="true" style="display:inline;margin-bottom:4px"><path d="M19 19H5V5h7V3H3v18h18v-9h-2v7zM14 3v2h3.59l-9.83 9.83 1.41 1.41L19 6.41V10h2V3h-7z" fill="currentColor"></path></svg></a><span>about frequently asked questions on these tracks.</span></div></div></div></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button 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duration-200"><path d="M3.13523 6.15803C3.3241 5.95657 3.64052 5.94637 3.84197 6.13523L7.5 9.56464L11.158 6.13523C11.3595 5.94637 11.6759 5.95657 11.8648 6.15803C12.0536 6.35949 12.0434 6.67591 11.842 6.86477L7.84197 10.6148C7.64964 10.7951 7.35036 10.7951 7.15803 10.6148L3.15803 6.86477C2.95657 6.67591 2.94637 6.35949 3.13523 6.15803Z" fill="currentColor" fill-rule="evenodd" clip-rule="evenodd"></path></svg></button></h3><div data-state="closed" id="radix-:R3ajjtttrkva:" hidden="" role="region" aria-labelledby="radix-:R1ajjtttrkva:" data-orientation="vertical" class="overflow-hidden text-sm data-[state=closed]:animate-accordion-up data-[state=open]:animate-accordion-down" style="--radix-accordion-content-height:var(--radix-collapsible-content-height);--radix-accordion-content-width:var(--radix-collapsible-content-width)"></div></div></div></div></div><div class="scroll-mt-[5rem]"><div class="hidden md:block relative"><div class="absolute -top-24"></div><div class="container md:pb-8 lg:py-0"><div class="flex flex-wrap"><div class="w-full lg:w-3/12 relative"><div class="relative lg:py-[50px] lg:w-[300px]"><h2 class="text-primary-500 md:mb-4 lg:mr-4 text-[2.25rem] lg:text-2xl leading-[2.5rem] hidden md:block">Interested in this course for your business or team?</h2><span class="lg:absolute lg:top-0 lg:right-[-23px] lg:bottom-0 lg:w-[500%] bg-putty-200 transform -skew-x-6 z-[-1] hidden lg:block"></span></div></div><div class="w-full lg:w-9/12 flex flex-col justify-center text-primary-500"><div class="text-base lg:ml-[114px]">Train your employees in the most in-demand topics, with edX For Business.<div class="flex flex-col sm:flex-row mt-4 w-full space-y-2 sm:space-y-0 sm:space-x-2"></div></div></div></div></div></div><div class="flex md:hidden flex-col"><div class="" data-orientation="vertical"><div data-state="closed" data-orientation="vertical"><h3 data-orientation="vertical" data-state="closed" class="flex m-0"><button type="button" 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you have specific questions about this course, please contact us at\u003c/em\u003e \u003cem\u003e\u003ca href=\"mailto:sds-mm@mit."])</script><script>self.__next_f.push([1,"edu\"\u003esds-mm@mit.edu\u003c/a\u003e.\u003c/em\u003e\u003c/p\u003e\n\u003cp\u003eData science requires multi-disciplinary skills ranging from mathematics, statistics, machine learning, problem solving to programming, visualization, and communication skills. In this course, learners will combine these foundational and practical skills with domain knowledge to ask and answer questions using real data.\u003c/p\u003e\n\u003cp\u003eThis course will start with a review of common statistical and computational tools such as hypothesis testing, regression, and gradient descent methods. Then, learners will study common models and methods to analyze specific types of data in four different domain areas:\u003c/p\u003e\n\u003cul\u003e\n\u003cli\u003eEpigenetic Codes and Data Visualization\u003c/li\u003e\n\u003cli\u003eCriminal Networks and Network Analysis\u003c/li\u003e\n\u003cli\u003ePrices, Economics and Time Series\u003c/li\u003e\n\u003cli\u003eEnvironmental Data and Spatial Statistics\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eLearners will be guided to analyze a real data set from each of these areas of focus, and present their findings in written reports. 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Learn how to organize, analyze and interpret these new and vast sources of information. Online courses from top institutions cover topics such as machine learning, business analytics, probability, randomization, quantitative methods and much more.\u003c/"])</script><script>self.__next_f.push([1,"p\u003e\r\n\u003cp\u003eRelated Topics - \u003ca href=\"https://www.edx.org/learn/computer-programming\"\u003eComputer Programming\u003c/a\u003e |\u003ca href=\"https://www.edx.org/learn/artificial-intelligence\"\u003eArtificial Intelligence\u003c/a\u003e |\u003ca href=\"/learn/big-data\"\u003eBig Data\u003c/a\u003e| \u003ca href=\"/learn/business-intelligence\"\u003eBusiness Intelligence\u003c/a\u003e| \u003ca href=\"https://www.edx.org/learn/c-programming\"\u003eC Programming\u003c/a\u003e |\u003ca href=\"/learn/data-analysis\"\u003eData Analysis\u003c/a\u003e| \u003ca href=\"/learn/data-mining\"\u003eData Mining\u003c/a\u003e| \u003ca href=\"/learn/data-science\"\u003eData Science\u003c/a\u003e| \u003ca href=\"/learn/data-visualization\"\u003eData Visualization\u003c/a\u003e| \u003ca href=\"/learn/excel\"\u003eExcel\u003c/a\u003e|\u003ca href=\"https://www.edx.org/learn/information-technology\"\u003eInformation Technology\u003c/a\u003e| \u003ca href=\"https://www.edx.org/learn/java\"\u003eJava\u003c/a\u003e |\u003ca href=\"https://www.edx.org/learn/machine-learning\"\u003eMachine Learning\u003c/a\u003e |\u003ca href=\"/learn/predictive-analytics\"\u003ePredictive Analytics\u003c/a\u003e|\u003ca href=\"/learn/r-programming\"\u003eR Programming\u003c/a\u003e|\u003ca href=\"/masters/data-science\"\u003eMaster's in Data Science\u003c/a\u003e| \u003ca href=\"https://www.edx.org/masters/online-master-science-analytics-georgia-tech\"\u003eMaster's in Analytics\u003c/a\u003e| \u003ca href=\"https://www.edx.org/learn/python\"\u003ePython\u003c/a\u003e| \u003ca href=\"https://www.edx.org/learn/sql\"\u003eSQL\u003c/a\u003e\u003c/p\u003e2b:T5f2,\u003cp\u003eEn la Era Digital, la información es la base de todo. Aprende a organizar, analizar e interpretar las vastas y novedosas fuentes de información. Los cursos en línea gratuitos abarcan temas como el aprendizaje automático, el sistema de análisis del beisbol, la probabilidad, la asignación aleatoria, los métodos cuantitativos y mucho más.\u003c/p\u003e\r\n\u003ch3\u003e\u003c/h3\u003e\r\n\u003cp\u003eExplora los temas más conocidos del análisis de datos y las estadísticas\u003c/p\u003e\r\n\u003cp\u003e\u003ca href=\"/es/aprende/el-apache-spark\"\u003eApache Spark\u003c/a\u003e | \u003ca href=\"/es/aprende/apache-hadoop\"\u003eApache Hadoop\u003c/a\u003e | \u003ca href=\"/es/aprende/aprendizaje-automatico\"\u003eAprendizaje Automático\u003c/a\u003e | \u003ca href=\"/es/aprende/big-data\"\u003eBig Data\u003c/a\u003e | \u003ca href=\"/es/aprende/analisis-de-datos\"\u003eAnálisis de Datos\u003c/a\u003e | \u003ca href=\"/es/aprende/estadistica\"\u003eEstadística\u003c/a\u003e | \u003ca href=\"/es/aprende/i"])</script><script>self.__next_f.push([1,"nteligencia-de-negocios\"\u003eInteligencia de Negocios\u003c/a\u003e | \u003ca href=\"/es/aprende/microsoft-power-bi\"\u003eMicrosoft Power BI\u003c/a\u003e | \u003ca href=\"/es/aprende/tableau\"\u003eTableau\u003c/a\u003e | \u003ca href=\"/es/aprende/mineria-de-datos\"\u003eMinería de Datos\u003c/a\u003e | \u003ca href=\"/es/aprende/visualizacion-de-datos\"\u003eVisualización de Datos \u003c/a\u003e | \u003ca href=\"/es/aprende/microsoft-excel\"\u003eMicrosoft Excel\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-informatica\"\u003eProgramación Informática\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-python\"\u003eProgramación Python\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-r\"\u003eProgramación R\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-sql\"\u003eProgramación SQL\u003c/a\u003e | \u003ca href=\"/es/aprende/informatica\"\u003eInformática\u003c/a\u003e\u003c/p\u003e2c:T5fe,\u003cp\u003eInscríbete a los cursos de informática más actuales que abarcan temas relevantes sobre la inteligencia artificial, la seguridad cibernética, la ingeniería de programación y los datos masivos. Puedes aumentar tu portafolio de habilidades en programación o, si lo prefieres, obtener una perspectiva general del área con el curso gratuito \u003cem\u003eIntroducción a la Informática\u003c/em\u003e de la Universidad de Harvard, que puedes iniciar hoy mismo.\u003c/p\u003e\r\n\u003ch3\u003e\u003c/h3\u003e\r\n\u003cp\u003eTemas relacionados - \u003ca href=\"/es/aprende/arduino\"\u003eArduino\u003c/a\u003e | \u003ca href=\"/es/aprende/el-blockchain\"\u003eEl Blockchain\u003c/a\u003e | \u003ca href=\"/es/aprende/criptomonedas\"\u003eCriptomonedas\u003c/a\u003e | \u003ca href=\"/es/aprende/ciberseguridad\"\u003eCiberseguridad\u003c/a\u003e | \u003ca href=\"/es/aprende/desarrollo-y-operaciones\"\u003eDesarrollo y Operaciones DevOps\u003c/a\u003e | \u003ca href=\"/es/aprende/informatica\"\u003eInformática\u003c/a\u003e | \u003ca href=\"/es/aprende/ingenieria\"\u003eIngeniería\u003c/a\u003e | \u003ca href=\"/es/aprende/ingenieria-de-software\"\u003eIngeniería de Software\u003c/a\u003e | \u003ca href=\"/es/aprende/internet-de-las-cosas-iot\"\u003eInternet de las Cosas IoT\u003c/a\u003e | \u003ca href=\"/es/aprende/la-fintech\"\u003eLa Fintech\u003c/a\u003e | \u003ca href=\"/es/aprende/los-aws\"\u003eLos Amazon Web Services\u003c/a\u003e | \u003ca href=\"/es/aprende/la-cloud-computing\"\u003eLa Cloud Computing\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-informatica\"\u003eProgramación Informática\u003c/a\u003e | \u003ca href=\"/es/aprende/sistema-operativo-linux"])</script><script>self.__next_f.push([1,"\"\u003eSistema Operativo Linux\u003c/a\u003e | \u003ca href=\"/es/aprende/tecnologia-de-la-informacion\"\u003eTecnología de la Información\u003c/a\u003e | \u003ca href=\"/es/aprende/telecomunicaciones\"\u003eTelecomunicaciones\u003c/a\u003e\u003c/p\u003e2d:Ta3c,"])</script><script>self.__next_f.push([1,"\u003cp\u003eEnroll in the latest computer science courses covering Python, C programming, R, Java, artificial intelligence, cybersecurity, software engineering, and more. Learn from Harvard, MIT, Microsoft, IBM, and other top institutions. Join today.\u003c/p\u003e\n\u003cp\u003eRelated Topics - \u003ca href=\"/learn/computer-programming\"\u003eProgramming\u003c/a\u003e | \u003ca href=\"/learn/android-development\"\u003eAndroid Development\u003c/a\u003e | \u003ca href=\"/learn/apache-spark\"\u003eApache Spark\u003c/a\u003e | \u003ca href=\"/learn/app-development\"\u003eApp Development\u003c/a\u003e | \u003ca href=\"/learn/artificial-intelligence\"\u003eArtificial Intelligence\u003c/a\u003e | \u003ca href=\"/learn/azure\"\u003eAzure\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/big-data\"\u003eBig Data\u003c/a\u003e | \u003ca href=\"/learn/blockchain-cryptography\"\u003eBlockchain\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/c-programming\"\u003eC\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/c-plus-plus\"\u003eC++\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/c-sharp\"\u003eC#\u003c/a\u003e | \u003ca href=\"/learn/cloud-computing\"\u003eCloud Computing\u003c/a\u003e | \u003ca href=\"/learn/cybersecurity\"\u003eCybersecurity\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/data-science\"\u003eData Science\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/data-analysis\"\u003eData Analysis\u003c/a\u003e | \u003ca href=\"/learn/databases\"\u003eDatabases\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/devops\"\u003eDevops\u003c/a\u003e | \u003ca href=\"/learn/front-end-web-development\"\u003eFront End Web Development\u003c/a\u003e | \u003ca href=\"/learn/hadoop\"\u003eHadoop\u003c/a\u003e | \u003ca href=\"/learn/html\"\u003eHTML\u003c/a\u003e | \u003ca href=\"/learn/information-technology\"\u003eInformation Technology\u003c/a\u003e | \u003ca href=\"/learn/java\"\u003eJava\u003c/a\u003e | \u003ca href=\"/learn/javascript\"\u003eJavaScript\u003c/a\u003e | \u003ca href=\"/learn/linux\"\u003eLinux\u003c/a\u003e | \u003ca href=\"/learn/machine-learning\"\u003eMachine Learning\u003c/a\u003e | \u003ca href=\"/learn/matlab\"\u003eMatlab\u003c/a\u003e | \u003ca href=\"/learn/mobile-development\"\u003eMobile Development\u003c/a\u003e | \u003ca href=\"/learn/python\"\u003ePython\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/r-programming\"\u003eR\u003c/a\u003e | \u003ca href=\"/learn/robotics\"\u003eRobotics\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/software-engineering\"\u003eSoftware Engineering\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/sql\"\u003eSQL\u003c/a\u003e | \u003ca href=\"/learn/t-sql\"\u003eT-SQL\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/user-experience-ux\"\u003eUX Design\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/virtual-reality\"\u003eVirtual Reality\u003c/a\u003e | \u003ca href=\"/learn/web-development\"\u003eWeb Development\u003c/a\u003e | \u003ca href=\"https://www.edx.org/learn/web-design\"\u003eWeb Design\u003c/a\u003e | \u003ca href=\"https://www.edx.org/masters/online-master-science-computer-science-utaustinx\"\u003eMaster's in Computer Science\u003c/a\u003e | \u003ca href=\"https://www.edx.org/masters/online-master-science-analytics-georgia-tech\"\u003eMaster's in Analytics\u003c/a\u003e | \u003ca href=\"https://www.edx.org/masters/online-master-data-science-uc-san-diego\"\u003eMaster's in Data Science\u003c/a\u003e\u003c/p\u003e"])</script><script>self.__next_f.push([1,"2e:T4a8,\nA statistical hypothesis is a hypothesis that is testable on the basis of observed data modelled as the realised values taken by a collection of random variables. 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Aprende a organizar, analizar e interpretar las vastas y novedosas fuentes de información. Los cursos en línea gratuitos abarcan temas como el aprendizaje automático, el sistema de análisis del beisbol, la probabilidad, la asignación aleatoria, los métodos cuantitativos y mucho más.\u003c/p\u003e\r\n\u003ch3\u003e\u003c/h3\u003e\r\n\u003cp\u003eExplora los temas más conocidos del análisis de datos y las estadísticas\u003c/p\u003e\r\n\u003cp\u003e\u003ca href=\"/es/aprende/el-apache-spark\"\u003eApache Spark\u003c/a\u003e | \u003ca href=\"/es/aprende/apache-hadoop\"\u003eApache Hadoop\u003c/a\u003e | \u003ca href=\"/es/aprende/aprendizaje-automatico\"\u003eAprendizaje Automático\u003c/a\u003e | \u003ca href=\"/es/aprende/big-data\"\u003eBig Data\u003c/a\u003e | \u003ca href=\"/es/aprende/analisis-de-datos\"\u003eAnálisis de Datos\u003c/a\u003e | \u003ca href=\"/es/aprende/estadistica\"\u003eEstadística\u003c/a\u003e | \u003ca href=\"/es/aprende/inteligencia-de-negocios\"\u003eInteligencia de Negocios\u003c/a\u003e | \u003ca href=\"/es/aprende/microsoft-power-bi\"\u003eMicrosoft Power BI\u003c/a\u003e | \u003ca href=\"/es/aprende/tableau\"\u003eTableau\u003c/a\u003e | \u003ca href=\"/es/aprende/mineria-de-datos\"\u003eMinería de Datos\u003c/a\u003e | \u003ca href=\"/es/aprende/visualizacion-de-datos\"\u003eVisualización de Datos \u003c/a\u003e | \u003ca href=\"/es/aprende/microsoft-excel\"\u003eMicrosoft Excel\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-informatica\"\u003eProgramación Informática\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-pyth"])</script><script>self.__next_f.push([1,"on\"\u003eProgramación Python\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-r\"\u003eProgramación R\u003c/a\u003e | \u003ca href=\"/es/aprende/programacion-sql\"\u003eProgramación SQL\u003c/a\u003e | \u003ca href=\"/es/aprende/informatica\"\u003eInformática\u003c/a\u003e\u003c/p\u003e331:{\"name\":\"Análisis de datos\",\"slug\":\"data-science\",\"uuid\":\"a168a80a-4b6c-4d92-9f1d-4c235206feaf\",\"masterId\":6,\"subtitle\":\"Aprende sobre el análisis de datos, las estadísticas y mucho más de las mejores universidades e instituciones del mundo.\",\"sortValue\":1,\"description\":\"$332\",\"languageCode\":\"es\"}\n334:T5fe,\u003cp\u003eInscríbete a los cursos de informática más actuales que abarcan temas relevantes sobre la inteligencia artificial, la seguridad cibernética, la ingeniería de programación y los datos masivos. 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Selecciona un curso para obtener más información. \u003c/p\u003e\\r\\n\u003ch3\u003e\u003c/h3\u003e\\r\\n\u003cp\u003eTemas relacionados - \u003ca href=\\\"/es/aprende/calculo\\\"\u003eCalculo\u003c/a\u003e | \u003ca href=\\\"/es/aprende/estadistica\\\"\u003eEstadística\u003c/a\u003e | \u003ca href=\\\"/es/aprende/el-algebra\\\"\u003eEl Algebra\u003c/a\u003e | \u003ca href=\\\"/es/aprende/geometria\\\"\u003eGeometría\u003c/a\u003e | \u003ca href=\\\"/es/aprende/economia-y-finanzas\\\"\u003eeconomia y finanzas\u003c/a\u003e | \u003ca href=\\\"/es/aprende/inteligencia-de-negocios\\\"\u003einteligencia-de-negocios\u003c/a\u003e | \u003ca href=\\\"/es/aprende/microsoft-excel\\\"\u003eMicrosoft Excel\u003c/a\u003e\u003c/p\u003e\",\"languageCode\":\"es\"}\n32e:[\"$32f\",\"$331\",\"$333\",\"$335\",\"$337\",\"$338\"]\n339:[]\n33a:[\"Computational Tools\",\"Data Analysis\",\"Data Science\",\"Economics\",\"Machine Learning\",\"Problem Solving\",\"Sales\",\"Statistical Hypothesis Testing\",\"Statistical Modeling\",\"Statistics\"]\n33b:[]\n33c:[]\n33f:T4a8,\nA statistical hypothesis is a hypothesis that is testable on the basis of observed data modelled as the realised values taken by a collection of random variables. 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