In a regression and correlation analysis, if r² = 1, then A) SSE = SST. B) SSE = 1. C) SSR = SSE. D) SSR = SST.

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Quizplus · Accepted Answer

When $r = 1$, it indicates a perfect positive linear relationship between the variables. This means all the points lie exactly on the regression line, and there is no variation of the points around the regression line. Therefore, the Sum of Squares due to Regression (SSR), which measures how well the regression line fits the data, is equal to the Total Sum of Squares (SST), which measures the total variation in the data. This implies there is no error variation (SSE = 0), as all variation is explained by the regression line.

In a Regression and Correlation Analysis, If R2 = 1

In a Regression and Correlation Analysis, If R² = 1