A researcher developed the following multiple regression model to explain the variation in hours worked by married women.
H = ²0 + ²1X1 + ²2X2 + ²3X3 + ²4X4 + µ
Where, H = hours worked per month, X1 = age, X2 = education level, X3 = experience, X4 = husband's wage, ²s = the parameters to be estimate, and µ = the error term.
All the explanatory variables (age, education level, experience, and husband's wage) are expected to have negative impact on hours of work.
The researcher collected data on H and Xs for a random sample of 428 working women in a given geographical area. Upon estimation of the model, the researcher obtained the following regression output.
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a. Test the statistical significance of the coefficient estimate of each explanatory variable at 5% significance level.
b. Test the statistical significance of the overall model.
c. Write the estimated regression equation using the coefficient estimates given above.
d. Do the experience and the husband's wage variables have the expected signs?
e. If the education level increases by 1 and all the other variables do not change, what will happen to the number of hours worked according to this model?
f. What percent of the variation in hours worked is explained by this model?