Refer to the data in Exercise 12.9, relating x, the number of books written by Professor Isaac Asimov, to y, the number of months he took to write his books (in increments of 100). The data are reproduced below.

a. Do the data support the hypothesis that β = 0? Use the p-value approach, bounding the p value using Table 4 of Appendix I. Explain your conclusions in practical terms.
b. Use the ANOVA table in Exercise 12.9, part c, to calculate the coefficient of determination r2. What percentage reduction in the total variation is achieved by using the linear regression model?
c. Plot the data or refer to the plot in Exercise 12.9, part b. Do the results of parts a and b indicate that the model provides a good fit for the data? Are there any assumptions that may have been violated in fitting the linear model?

Number of Books, x 100 200 300 400 490 Time in Months, y 237 350 419 465 507