Estimating R square from the regression equation.
A partial computer output from a regression analysis as follows. The regression equation is
Y = 8.103 + 7.602 X1 + 3.111 X2
|
Predictor
|
Coef
|
SE Coef
|
T
|
|
Constant
|
|
2.667
|
|
|
X1
|
|
2.105
|
|
|
X2
|
|
0.613
|
|
|
S = 3.335
|
R-sq = 92.3%
|
R - sq (adj) = _____%
|
Analysis of Variance
|
Source
|
DF
|
SS
|
MS
|
F
|
|
Regression
|
|
1612
|
|
|
|
Residual Error
|
12
|
|
|
|
|
Total
|
|
|
|
|
a. work out the appropriate t-ratios (to 2 decimals)
Constant
X1
X2
b. figure the entries in the DF, SS and MS columns (to 2 decimals if necessary).
|
Source
|
DF
|
SS
|
MS
|
|
Regression
|
2
|
1612
|
806
|
|
Residual Error
|
12
|
|
11.21
|
|
Total
|
14
|
|
|