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 x̅ = 6.5, y̅ = 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.