Mathematics for Data Science 1 - W2_L24: Straight line fit - vertical distance sum of squared errors & regression

Welcome to Week 2 Lecture 24 of the course "Mathematics for Data Science I" by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview This lecture explores a new way to thinkAbout distance, focusing not on the perpendicular distance from a point to a line but on the vertical distance. Using a physics experiment based on V = IR, we examine a real world problem where finding the best fit line requires minimizing the sum of squared errors SSE. This approach provides a fresh perspective on linear regression and sets the stage for future explorations in optimization techniques. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #Mathematics #DataScience #MathForDataScience #LinearRegression #DistanceOfAPointFromALine #VerticalDistance #SumOfSquaredErrors #SSE #BestFitLine #Voltage #Current #Resistance #PhysicsExperiment #DataAnalysis #MathematicalModeling #LinearEquations #Engineering #MachineLearning #LabExperiment #IITMadrasBS #OnlineLearning #MathBasics