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 overbarequals6.3, y overbarequals6.1, requalsnegative 0.176, p-valueequals0.221, and modifyingabove y with caretequals7.37negative 0.203x. find the best predicted value of modifyingabove y with caret (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is xequals7. use a 0.01 significance level.