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= 6.3, y=6.0, r= -0.122, y=7.57 - 0.255x. Find the best predicted value of y ​(attractiveness rating by female of​ male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.05 significance level.
The best predicted value of y when x=5 is___. (round one decimal place as needed.)

Respuesta :

The best predicted value of y when x=5 is 6.295

How to solve for the predicted value of y

We have the equation given as

y=7.57 - 0.255x

This is the equation that is referred to as the regression equation or the equation of the regression line. Next we have to find the value of x given the vale that we have been given.

Wjat we would have to do would be to put the value of x in the equation that we have been given above. Hence we would have

y=7.57 - 0.255x

= y=7.57 - 0.255 *5

y = 7.57 - 1.275

y = 6.295

Hence we can conclude that The best predicted value of y when x=5 is 6.295

Read more on the regression line equation here:

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