How is the intercept of the regression line calculated when regressing X on Y? Mean of X - (slope * Mean of Y) Mean of Y - (slope * Mean of X) Slope divided by Mean of X. Slope multiplied by Mean of Y.
Question
How is the intercept of the regression line calculated when regressing X on Y? Mean of X - (slope * Mean of Y) Mean of Y - (slope * Mean of X) Slope divided by Mean of X. Slope multiplied by Mean of Y.
Solution
The intercept of the regression line when regressing X on Y is calculated as: Mean of Y - (slope * Mean of X). This is because the regression line is defined by the equation Y = slope * X + intercept. To find the intercept, you rearrange the equation to solve for the intercept, which gives you: intercept = Y - slope * X. If you take the mean of both sides, you get: Mean of Y = slope * Mean of X + intercept, and rearranging this gives you: intercept = Mean of Y - slope * Mean of X.
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