Question

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 A) We want to test whether or not there is a significant relationship between the yearly income and the independent variables. State the null hypothesis. B ) 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. C) True/ False: Using the F-test, we conclude that the model is statistically significant at the 0.05 level of significance.

          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
A) We want to test whether or not there is a significant
relationship between the yearly income and the independent
variables. State the null hypothesis.
B ) 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.
C) True/ False: Using the F-test, we conclude that the model is
statistically significant at the 0.05 level of significance.

Added by Eduardo R.

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