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 on page 493.

Figure 10-5

Using the diameter > volume data from the preceding exercise, find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm3?

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. Yes. The regression No. The regression equation is not a good model. equation is a good model. Substitute the given v into the regression equation alue of X Regardless of the value of x, the best predicted value of y is the value of y (the mean of the y values)