Study the following Minitab output from a regression analysis to predict y from x.
a. What is the equation of the regression model?
b. What is the meaning of the coefficient of x?
c. What is the result of the test of the slope of the regression model? Let α = .10.Why is the t ratio negative?
d. Comment on r2 and the standard error of the estimate.
e. Comment on the relationship of the F value to the t ratio for x.
f. The correlation coefficient for these two variables is -.7918. Is this result surprising to you? Why or why not?
Regression Analysis: Y versus X
The regression equation is
Y = 67.2 - 0.0565 X
|
Predictor
|
Coef
|
SE Coef
|
T
|
p
|
|
Constant
|
67.231
|
5.046
|
13.32
|
0.000
|
|
X
|
-0.05650
|
0.01027
|
- 5.50
|
0.000
|
|
S = 10.32
|
R-Sq = 62.7%
|
R-Sq(adj) = 60.6%
|
Analysis of Variance
|
Source
|
DF
|
SS
|
MS
|
F
|
P
|
|
Regression
|
1
|
3222.9
|
3222.9
|
30.25
|
0.000
|
|
Residual Error
|
18
|
1918.0
|
106.6
|
|
|
|
Total
|
19
|
5141.0
|
|