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=6.5

y overbaryequals=6.0,

requals=negative −0.196​

​P-valueequals=0.1720

and

ModifyingAbove y with caretyequals=7.45 −0.227x.

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=6

Use a

0.05

significance level.

The best predicted value of

ModifyingAbove y with carety

when

xequals=6

is

Answer 1

Given that, sample size (n) = 50

x-bar = 6.5

y-bar = 6.0

correlation coefficient r = -0.196

p-value = 0.1720

Regression equation is, y-hat = 7.45 - 0.227x

Since, p-value = 0.1720 is greater than 0.05 significance level, we can conclude that, at 5% significance level, the regression equation is not significant for predicting y-hat.

If regression equation is not significant then the best predicted value for y-hat is y-bar.

Therefore, the best predicted value of y-hat when x = 6 is 6.0

Answer : 6.0