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9.2.2: Residuals
https://stats.libretexts.org/Workbench/Statistics_for_Behavioral_Science_Majors/09%3A_Correlation_and_Regression/9.02%3A_Simple_Linear_Regression/9.2.02%3A_Residuals
The numeric value of the residual is found by subtracting the predicted value of $y$ from the actual value of $y$ : $y - \hat{y}$ . The residual for the point $(15, 80)$ is drawn on the scatterp...The numeric value of the residual is found by subtracting the predicted value of $y$ from the actual value of $y$ : $y - \hat{y}$ . The residual for the point $(15, 80)$ is drawn on the scatterplot vertically as a yellow double-sided arrow to visually show the size of the residual. The mean square error is the variance of the residuals, if we take the square root of the MSE we find the standard deviation of the residuals, which is the standard error of estimate.
4.4: Residuals
https://stats.libretexts.org/Workbench/Introduction_to_Statistical_Methods_(Yuba_College)/04%3A_Correlation_and_Regression/4.04%3A_Residuals
The numeric value of the residual is found by subtracting the predicted value of $y$ from the actual value of $y$ : $y - \hat{y}$ . The residual for the point $(15, 80)$ is drawn on the scatterp...The numeric value of the residual is found by subtracting the predicted value of $y$ from the actual value of $y$ : $y - \hat{y}$ . The residual for the point $(15, 80)$ is drawn on the scatterplot vertically as a yellow double-sided arrow to visually show the size of the residual. The mean square error is the variance of the residuals, if we take the square root of the MSE we find the standard deviation of the residuals, which is the standard error of estimate.
12.2.2: Residuals
https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Mostly_Harmless_Statistics_(Webb)/12%3A_Correlation_and_Regression/12.02%3A_Simple_Linear_Regression/12.2.02%3A_Residuals
The numeric value of the residual is found by subtracting the predicted value of $y$ from the actual value of $y$ : $y - \hat{y}$ . The residual for the point $(15, 80)$ is drawn on the scatterp...The numeric value of the residual is found by subtracting the predicted value of $y$ from the actual value of $y$ : $y - \hat{y}$ . The residual for the point $(15, 80)$ is drawn on the scatterplot vertically as a yellow double-sided arrow to visually show the size of the residual. The mean square error is the variance of the residuals, if we take the square root of the MSE we find the standard deviation of the residuals, which is the standard error of estimate.

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