https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/xfb5d8e68:residuals/v/regression-residual-intro 2022-11-16T04:22:43.7414897Z Introduction to residuals and least-squares regression In linear regression, a residual is the difference between the actual value and the value predicted by the model (y-ŷ) for any given point. A least-squares regression model minimizes the sum of the squared residuals. video https://cdn.kastatic.org/googleusercontent/pHbnu03EHBPLfRd8ZqnvqU_L50bfEK2u5lr5XZ5bgPyhLotjRpx6bse-uZb2tcsh-hTa81MPrMIZ1n4pl9-wo0xLiQ Introduction to residuals and least-squares regression In linear regression, a residual is the difference between the actual value and the value predicted by the model (y-ŷ) for any given point. A least-squares regression model minimizes the sum of the squared residuals. https://cdn.kastatic.org/ka-youtube-converted/VqD-nf1YUks.mp4/VqD-nf1YUks.mp4 289 Residuals https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/xfb5d8e68:residuals/v/calculating-residual-example 2023-12-15T19:01:48.939979194Z Calculating residual example We look at an example scenario that includes understanding least squares regression, interpreting the regression equation, calculating residuals, and interpreting the significance of positive and negative residuals in relation to the regression line. video https://cdn.kastatic.org/ka_thumbnails_cache/27a61578-a2f6-426c-a2c4-c1ebc921456b_1280_720_base.png Calculating residual example We look at an example scenario that includes understanding least squares regression, interpreting the regression equation, calculating residuals, and interpreting the significance of positive and negative residuals in relation to the regression line. https://cdn.kastatic.org/ka-youtube-converted/50ezMTE_BuA.mp4/50ezMTE_BuA.mp4 292 Residuals https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/xfb5d8e68:residuals/e/calculating-interpreting-residuals 2026-06-16T15:55:43.561813682Z Calculate and interpret residuals Practice calculating residuals in scatterplots and interpreting what they measure. Jeff Dodds exercise https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/xfb5d8e68:residuals/v/residual-plots 2022-10-07T00:58:19.561984208Z Residual plots Creating and analyzing residual plots based on regression lines. video https://cdn.kastatic.org/ka_thumbnails_cache/759f73f8-e4f7-49d7-9416-1a90fef58a38_1280_720_base.png Residual plots Creating and analyzing residual plots based on regression lines. https://cdn.kastatic.org/ka-youtube-converted/VamMrPZ-8fc.mp4/VamMrPZ-8fc.mp4 372 Residuals https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/xfb5d8e68:residuals/e/residual-plots 2021-07-15T19:03:47Z Residual plots Practice interpreting what a residual plot says about the fit of a least-squares regression line. Jeff Dodds exercise