An educator examined the relationship between the number of hours devoted to reading each week (Y) and the independent variables social class (X1), number of years of school completed (X2), and reading speed (X3), in pages read per hour. The following ANOVA table was obtained from a stepwise regression analysis on data for a sample of 19 women over 60.

a. Test for the significance of each variable as it enters the model.
b. Test H0: β1 = β2 = 0 in the model Y = β0 + β1X1 + β2X2 + β3X3 + E.
c. Why can't we test H0: β1 = β3 = 0 by using the ANOVA table given? What formula would you use for this test?
d. Based on your results in parts (a) and (b), what is the most appropriate model to use?

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Source d.f. 1,058.628 183.743 37.982 363.300 Regression (XIX) Residual 15