IEProjex Exposi X will STAT5 X hw9.p x hw8.p x UF Applie X UF Applie X * 313 E1 X Course X New T X C 8.4. RE X C Proble X C Please X + V X -> C a users.stat.ufl.edu/~winner/sta4211/ALSM_5Ed_Kutner.pdf A E Applied linear statistical models.djvu 370 / 1415 - 150% + b. Calculate RE. What information does this measure provide? c. Test whether or not the the square of centered property age (x?) can be dropped from the model; use a = .05. State the alternatives, decision rule. and conclusion. What is the P-value of the test? d. Estimate the mean rental rate when X1 = 8, X? = 16, and X4 = 250,000; use a 95 percent confidence interval. Interpret your interval. e. Express the fitted response function obtained in part (a) in the original X variables. 369 8.9. Consider the response function E{Y) = 25 + 3X1 + 4X2 + 1.5X1 X2. a. Prepare a conditional effects plot of the response function against X, when X2 = 3 and when X2 = 6. How is the interaction effect of X , and X2 on Y apparent from this graph? Describe the nature of the interaction effect. 370 Chapter 8 Regression Models for Quantitative and Qualitative Predictors 337 b. Plot a set of contour curves for the response surface. How is the interaction effect of X, and X2 on Y apparent from this graph? 8.10. Consider the response function E(Y) = 14 + 7X1 + 5X2 - 4X1X2. a. Prepare a conditional effects plot of the response function against X2 when X1 = 1 and when 371 X1 =4. How does the graph indicate that the effects of X, and X2 on Y are not additive? What is the nature of the interaction effect? b. Plot a set of contour curves for the response surface. How does the graph indicate that the effects of X, and X2 on Y are not additive? Type here to search PE 8:29 PM 56F Sunny ENG 4/11/2022