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 bar x = 6.3, bar y = 6.0, r = -0.194, P-value = 0.176, and bar y = 7.40 - 0.218x. 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 = 8. Use a 0.01 significance level.

Answer 1

The best predicted value of y = y^= y`= 6.0

Explanation:

The given P - value is = 0.176

And the significance level= 0.01

Since the P-value is greater than the significance level the null hypothesis cannot be rejected telling us that there is no correlation between the attractiveness ratings of the partners.

As there is no correlation between the attractiveness ratings of the partners the best predicted value of y (attractiveness rating by female of male) is given by mean value

y^= y`= 6.0