A multiple regression analysis between yearly income (y in $1000s), college grade point average (x1), age of the individuals (x2), and gender of the individual (x3; 0 representing female and 1 representing male) was performed on a sample of 10 people, and the following results were obtained using Excel:
ANOVA |
||||
df |
SS |
MS |
F |
|
Regression |
360.59 |
|||
Residual |
23.91 |
|||
Coefficients |
Standard Error |
|||
Intercept |
4.0928 |
1.4400 |
||
x1 |
10.0230 |
1.6512 |
||
x2 |
0.1020 |
0.1225 |
||
x3 |
-4.4811 |
1.4400 |
We want to test whether or not there is a significant relationship between the yearly income and the independent variables. Calculate the test statistics F
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