Find the best predicted height of runner-up Goldwater, given that the height of the winning presidential candidate Johnson is 75 in. Is the predicted height of Goldwater close to his actual height of 72 in.?

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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Winner 69.5 73 Runner-Up 72 69.5 73 70 74 68 74.5 74 74.5 71 74 - 73 71 76 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