Simple Linear Regression Derivation of the Variance of the Intercept and Slope











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In this lecture we mathematically derive the variance for the intercept and slope for simple linear regression based on our ordinary least squares approach. • • • • A video for the Biostatistical Methods I (BIOS 6611) course in the Department of Biostatistics and Informatics at the University of Colorado-Anschutz Medical Campus taught by Dr. Alex Kaizer. Slides and additional material available at https://www.alexkaizer.com/bios_6611. • • Table of Contents: • • 00:00 - Intro Song • 00:16 - Welcome • 00:52 - Formula Refreshers • 04:24 - Deriving Variance of the Slope • 17:00 - Deriving Variance of the Intercept • 21:55 - Cov(Y-bar,beta-hat_1 X_bar) = 0 • 32:46 - Standard Error of the Mean

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