Professor Asimov, continued Refer to thedata in Exercise 12.9, relating x, the number of
Chapter 12, Problem 25(choose chapter or problem)
Professor Asimov, continued Refer to thedata in Exercise 12.9, relating x, the number of bookswritten by Professor Isaac Asimov, to y, the number ofmonths he took to write his books (in increments of100). The data are reproduced below.Number of Books, x 100 200 300 400 490Time in Months, y 237 350 419 465 507a. Do the data support the hypothesis that b 0? Usethe p-value approach, bounding the p-value usingTable 4 of Appendix I. Explain your conclusions inpractical terms.b. Use the ANOVA table in Exercise 12.9, part c,to calculate the coefficient of determination r 2.What percentage reduction in the total variation is achieved by using the linear regressionmodel?c. Plot the data or refer to the plot in Exercise 12.9,part b. Do the results of parts a and b indicate thatthe model provides a good fit for the data? Arethere any assumptions that may have been violatedin fitting the linear model?
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