Chapter 10.2, Problem 5BSC

Making Predictions. In Exercises 5–8, let the predictor variable x he the first variable given. Use the given data to find the regression equation and the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in Figure 10-5 on page 493. Use a 0.05 significance level.

5. Speed Dating For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings are from Data Set 18 “Speed Dating” in Appendix B. The 50 paired ratings yield x = 6.5, y = 5.9, r = −0.277, P-value = 0.051, and ŷ = 8.18 − 0.345x. Find the best predicted value of ŷ (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x = 8.