Find the best predicted temperature for a recent year in which the concentration (in parts per million) of CO₂ is 370.9. Is the predicted temperature close to the actual temperature of 14.5? (Celsius)?

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.

Transcribed Image Text:

CO₂ Temperature 314 317 320 13.9 14.0 13.9 326 331 339 14.1 14.0 14.3 346 354 361 369 14.1 14.5 14.5 14.4 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