Question

Linear regression

Airfreight breakage. A substance used in biological and medical research is shipped by air- freight to users in cartons of 1,000 ampules. The data below, involving 10 shipments, were collected on the number of times the carton was transferred from one aircraft to another over the shipment route (X) and the number of ampules found to be broken upon arrival (Y). Assume that first-order regression model (1.1) is appropriate. 9 10 3 4 5 8 0 0 0 17 12 19 13 16 15 *2.25. Refer to Airfreight breakage Problem 1.21. a. Set up the ANOVA table. Which elements are additive? b. Conduct an F test to decide whether or not there is a linear association between the number of times a carton is transferred and the number of broken ampules; control the a risk at.05. State the alternatives, decision rule, and conclusion. c. Obtam the i* statistic for the test in part (b) and demonstrate numerically its equivalence to the F* statistic obtained in part (b). d. Calculate R2 and r. What proportion of the variation in Y is accounted for by introducing X into the regression model?

Answer 1

256 14 1 2- IC 9 13 2. 0 1 2 i":2174 2ου-100 t00

,已 lo S> lo 2 2255

5. 41 23,451レ -12-74(87