13. Professor Asimov, continued Refer to the data in Exercise 11 (Section 12.2), 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 b 50? Use the p-value approach, bounding the p-value using Table 4 of Appendix I. Explain your conclusions in practical terms.

b. Construct the ANOVA table or use the one constructed in Exercise 11 (Section 12.2), 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 11 (Section 12.2), 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?

Transcribed Image Text:

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