Question

9. SSg can never be a. Larger than SST b. Smaller than SST c. Equal to 1 d. Equal to zero 10. What does the standard error of the estimate measure? a. The variation around the regression line b. The explained variation c. The variation of the X variable d. The total variation of the Y variable

Answer 1

Solution:

Question 9)

SSR is the Sum of Squares due to regression

SSE is the sum of squares of errors

and SST = Total Sum of Squares

and SST is given by:

SST = SSE + SSR

Thus SSE can never be greater than SST

Thus correct option is:

a) Larger than SST.

Question 10)

Standard error of estimate is the standard deviation of observation around the regression line or variation of observations around the regression line. That is : it gives how much amount of variation of observation falling below and above the regression line.

Thus correct option is:

a) The variation around the regression line.