In: Statistics and Probability
13) 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 range from 1 to 10. The 50 paired ratings yield: x overbar=6.3, y overbar=6.2 , r=−0.220, P-value=0.1250, and y^=7.79-0.248x. Find the best predicted value of y^ (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=6. Use a 0.05 significance level.
(6.3 is not the correct answer!)
18) Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 525 metric tons of lemon imports. Is the prediction worthwhile?
Lemon Imports Crash Fatality Rate
233 16
267 15.7
363 15.3
484 15.4
531 14.9