Question

A multiple regression analysis between yearly income (yin $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 using Excel.
ANOVA




dfSSMSF
Regression
360.59

Residual
23.91







CoefficientsStandard Error

Intercept4.09281.4400

x110.02301.6512

x20.10200.1225

x3-4.48111.4400


a. Write the regression equation for the above.
b. Interpret the meaning of the coefficient of x3.
c. Compute the coefficient of determination.
d. Is the coefficient of x1significant? Use = 0.05.
e. Is the coefficient of x2significant? Use = 0.05.
f. Is the coefficient of x3significant? Use = 0.05.
g. Perform an Ftest and determine whether or not the model is significant.

Answer

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