A multiple regression analysis between yearly income (Y in $1,000s), college gra
ID: 3394276 • Letter: A
Question
A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.
Coefficients
Standard Error
Intercept
4.0928
1.4400
X1
10.0230
1.6512
X2
0.1020
0.1225
X3
-4.4811
1.4400
ANOVA
DF
SS
Regression
360.59
Residual (Error)
23.91
(a)
Write the regression equation for the above [2]
(b)
Interpret the meaning of the coefficient of X3 [3]
(c)
Compute the R2 [4]
(d)Compute the test statistic to test the following hypothesis: [2]
Ho: b1=0
Ha: b10
(e)Compute the p value [3]
(f) If =0.05, do you reject or accept Ho [1]. Explain why [1]
(g) Compute a 95% confidence interval for b2 [4]
(h) do you reject or accept Ho:b2=0 [1] Explain why [1]
Coefficients
Standard Error
Intercept
4.0928
1.4400
X1
10.0230
1.6512
X2
0.1020
0.1225
X3
-4.4811
1.4400
Explanation / Answer
A multiple regression analysis between yearly income (Y in $1,000s), college gra
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