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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 overbarxequals=6.46.4​, y overbaryequals=6.06.0​, requals=negative 0.281−0.281​, ​p-valueequals=0.0480.048​, and modifyingabove y with caretyequals=8.128.12negative 0.323−0.323x. find the best predicted value of modifyingabove y with carety ​(attractiveness rating by female of​ male) for a date in which the attractiveness rating by the male of the female is xequals=55. use a 0.100.10 significance level.

Respuesta :

Mamasu
This is a linear regression problem. We are given the linear regression equation already, and that is [tex]\hat{y\:}=8.12-0.323x[/tex]. So, we are asked to find the value of y, when the value of x is equal to 5. 

To do this, we just need to substitute the value of x to the given linear regression equation. That is 
     [tex]\hat{y\:}=8.12-0.323\left(5\right)=6.505[/tex]

Therefore, when the value of x is 5, the value of y is predicted to be about 6.5.