Question

In a regression analysis if SST= 200 and SSR= 200, R^2 = ______

Answer 1

The coefficient of determination, R², in a regression analysis with SST = 200 and SSR = 200 is 1.

Step-by-step explanation:

The coefficient of determination, r², represents the percentage of variation in the dependent variable y that can be explained by the variation in the independent variable x using the regression line. In this case, SST represents the total sum of squares, which measures the total variation in y from its mean. SSR represents the regression sum of squares, which measures the variation in y that is explained by the regression line. To find R², divide SSR by SST:

R² = SSR / SST = 200 / 200 = 1

Therefore, R² = 1.