Question

question 7 of 10 if the coefficient of determination for a data set containing 8 points is 1, how many of the data points must lie on the regression line for the data set? a. 6 b. 7 c. 5 d. 8

Explanation:

Step1: Recall the meaning of coefficient of determination

The coefficient of determination, $R^{2}$, measures how well the regression line fits the data. When $R^{2}=1$, it means that the regression line perfectly fits the data.

Step2: Relate $R^{2}$ value to data - points on regression line

If $R^{2} = 1$, all the data - points in the data set lie on the regression line. The data set has 8 points.

Answer:

D. 8