In: Statistics and Probability
y^ = 0.9 - 0.3x
x: 2 5 1 4
y: 1 2 1 -4
a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas.
SST
SSR
SSE
b. Verify the regression identity, SST = SSR + SSE. Is this statement correct?
c. Determine the value of r squared
(Round to four decimal places.)
d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression.
(Round to two decimal places.)
e. State how useful the regression equation appears to be for making predictions.