Question

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=6.36.3​, y overbaryequals=6.16.1​, requals=negative 0.200−0.200​, ​P-valueequals=0.1630.163​, and ModifyingAbove y with caretyequals=7.577.57negative 0.232−0.232x. 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=88. Use a 0.050.05 significance level.

Answer 1

^Y/X=8= 5.714

Explanation:

Hello!

Given the variables

Y: Attractiveness ratings by females of their male partners

X: Attractiveness ratings by males of their female date partners

Each member of the couple rated the attractiveness of the other in a scale from 1 to 10

A sample of 50 randomly selected speed dates were taken and the linear regression model estimated

^Y= 7.57 - 0.232X

You have to find the best-predicted value of Y for a date in which the attractiveness rating by the male of the female is X=8

To find this value you have to replace the value of X is the estimated equation:

^Y= 7.57 - 0.232X= 7.57 - 0.232*8= 5.714

I hope this helps!