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In: Statistics and Probability

13) For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date partners​...

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

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