For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along wit
h 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.)
<h3>How to solve for the predicted value of y</h3>
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
