Covariance Explained ← Probability & Statistics

⏭️ 𝘾𝙤𝙣𝙣𝙚𝙘𝙩 𝙬𝙞𝙩𝙝 𝙪𝙨 𝙤𝙣 𝙋𝘼𝙏𝙍𝙀𝙊𝙉   / socratica   Covariance measures how two variables move together: whether they rise and fall in sync or move in opposite directions. In this video, we build intuition for what covariance means, walk through the formula step by step, and calculate it by hand with a simple example. We also explore how covariance plays a role in finance, physics, machine learning, and data analysis. This is a foundation you'll need before learning about correlation and multivariate analysis. ▶️ 𝙒𝘼𝙏𝘾𝙃 𝙉𝙀𝙓𝙏: Normal Distributions    • Normal Distributions Explained – With Real...   𝘽𝙚𝙘𝙤𝙢𝙚 𝙤𝙪𝙧 𝙋𝙖𝙩𝙧𝙤𝙣 𝙤𝙣 𝙋𝙖𝙩𝙧𝙚𝙤𝙣:   / socratica   📚 𝙒𝙚 𝙧𝙚𝙘𝙤𝙢𝙢𝙚𝙣𝙙 (affiliate links): The Drunkard's Walk: How Randomness Rules Our Lives by Leonard Mlodinow https://amzn.to/4j9n0YP The Art of Statistics: How to Learn from Data by David Spiegelhalter https://amzn.to/3S9E46a How to Be a Great Student (by Socratica!) ebook: https://amzn.to/2Lh3XSP paperback: https://amzn.to/3t5jeH3 🎬 𝘾𝙍𝙀𝘿𝙄𝙏𝙎: Written & Produced by: Michael Harrison & Kimberly Hatch Harrison Edited by: Alivia Brown 🎓 𝘼𝘽𝙊𝙐𝙏 𝙊𝙐𝙍 𝙄𝙉𝙎𝙏𝙍𝙐𝘾𝙏𝙊𝙍𝙎: Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google. Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor. Michael and Kimberly Harrison co-founded Socratica. Their mission? To create the education of the future. Ready to 🧠 𝙇𝙀𝘼𝙍𝙉 𝙈𝙊𝙍𝙀 with Socratica? 📺 𝙎𝙪𝙗𝙨𝙘𝙧𝙞𝙗𝙚 for SMART videos in Math, Science & Programming: http://bit.ly/SocraticaSubscribe ▶️ 𝙋𝙇𝘼𝙔𝙇𝙄𝙎𝙏𝙎: Study Tips http://bit.ly/StudyTipsPlaylist Python http://bit.ly/PythonSocratica Chemistry http://bit.ly/Chemistry_Playlist Calculus http://bit.ly/CalculusSocratica Geometry http://bit.ly/GeometrySocratica #covariance #math #statistics