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 x̅ = 52.1 years, y̅ = 37.3 years, r = 0.076, P-value = 0.691, and ŷ = 34.4 + 0.0547x. Find the best predicted value of ŷ (age of Best Supporting Actress) in 1982, when the age of the Best Supporting Actor (x) was 46 years.

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. Be sure to follow the prediction procedure summarized in Figure 10-5 on page 493. Use a 0.05 significance level.

Figure 10-5: