Find the best predicted age of the Best Actor at the time that the age of the Best Actress is 75 years.

In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5.

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Best Actresses 26 80 26 25 42 29 33 35 45 49 39 33 35 35 28 30 29 61 Best Actors 51 32 42 46 40 36 47 54 52 37 38 29 43 37 32 38 34 45 60 45 Yes. The regression equation is a good model. Strategy for Predicting Values of Y Is the regression equation a good model? • The regression line graphed in the scatterplot shows that the line fits the points well. • r indicates that there is a linear correlation. • The prediction is not much beyond the scope of the available sample data. Substitute the given value of x into the regression equation ŷ = b + b₁x. No. The regression equation is not a good model. Regardless of the value of x, the best predicted value of y is the value of y (the mean of the y values). Figure 10-5 Recommended Strategy for Predicting Values of y