Explain correlation coefficient of determination (R-square) and Adjusted R-square
A computer utility was applied to the data collected in a study of a generalized health index as a function of weight/ height/ ratio, cholesterol, and average nightly number of hours of sleep. Part of the output is shown below.
|
Independent variables
|
P-value
|
R2
|
Adjusted R2
|
|
WT/HT,CH,SLP
|
0.000
|
0.812
|
0.787
|
|
WT/HT,CH
|
0.000
|
0.801
|
0.784
|
|
WT/HT,SLP
|
0.000
|
0.792
|
0.775
|
|
CH,SLP
|
0.000
|
0.791
|
0.774
|
|
WT/HT
|
0.000
|
0.578
|
0.561
|
|
CH
|
0.000
|
0.667
|
0.654
|
|
SLP
|
0.000
|
0.699
|
0.687
|
Which single variable is the best predictor of generalized health?
a) Weight/height
b) sleep
c) cholesterol