QUESTION 7 Problem 11.40da: Conduct a test for lack of fit of the linear regression model. Report the p- value of the test. Use 3 decimals for your answer Hint: L-26: p 6-7 (Ex. 11.39a)

Extracted text: QUESTION 7 Problem 11.40da: Conduct a test for lack of fit of the linear regression model. Report the p- value of the test. Use 3 decimals for your answer Hint: L-26: p 6-7 (Ex. 11.39a)


Extracted text: 11.40 In the preliminary studies of a new drug, a pharmaceutical firm needs to obtain infor- mation on the relationship between the dose level and potency of the drug. In order to obtain this information, a total of 18 test tubes are inoculated with a virus culture and incubated for an appropriate period of time. Three test tubes are randomly assigned to each of six different dose levels. The 18 test tubes are then injected with the randomly assigned dose level of the drug. The measured response is the protective strength of the drug against the virus culture. Due to a prob- lem with a few of the test tubes, only two responses were obtained for dose levels 4, 8, and 32. The data are given here: Dose level 2 8 16 32 64 Response 5,73 10, 14 15, 17 20, 21, 19 23, 29 28, 31, 30 a. Plot the data. b. Fit a linear regression model to these data. c. From a plot of the residuals, does there appear to be a possible lack of fit of the linear model?