Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable (x) and a dependent variable (y).
|
Predictor
|
Coefficient
|
Standard Error
|
|
Constant
|
30.139
|
1.181
|
|
X
|
-0.252
|
0.022
|
|
|
|
Analysis of Variance
|
|
SOURCE
|
SS
|
|
Regression
|
1,759.481
|
|
Error
|
259.186
|
a) Develop the estimated regression line.
b) At α = 0.05, test for the significance of the slope.
c) Determine the coefficient of determination.
d) Determine the coefficient of correlation