For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded. The 30 paired ages yield mean (x) = 52.1 years, mean (y) = 37.3 years, r = 0.076, P-value = 0.691, and y = 34.4 + 0.0547 x.

Find the best predicted value of y (age of Best Supporting Actress) in 1982, when the age of the Best Supporting Actor (x) was 46 years.

37.3

Step-by-step explanation:

Incomplete Question;

The detailed questions is as follows

Let the predictor variable x be the first variable given. Use the given data to find the regression equation and the best predicted value of the response variable ... Use 0.05 significance level.

For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded. The 30 paired ages yield mean (x) = 52.1 years, mean (y) = 37.3 years, r = 0.076, P-value = 0.691, and y = 34.4 + 0.0547 x.

Find the best predicted value of y (age of Best Supporting Actress) in 1982, when the age of the Best Supporting Actor (x) was 46 years.

Explanation

From the (completed) question,

Significance level = 0.05

P-value = 0.691

There's no mutual relationship between the age of best supporting actors And actress.

Reason being that, the p-value is greater than the significance level

This translates to insufficiency in evidence to reject the null hypothesis.

The best predicted value of y is to go with the one stated in the question, 37.3 years because of the above reasons.