12.14 How Long Is It? How good are you at estimating? To test a subject's ability to estimate sizes, he was shown 10 different objects and asked to estimate their length or diameter. The object was then measured, and the results were recorded in the table below.

a. Find the least-squares regression line for predicting the actual measurement as a function of the estimated measurement.

b. Plot the points and the fitted line. Does the assump- tion of a linear relationship appear to be reasonable?

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Object Estimated (cm) Actual (cm) Pencil 17.78 15.24 Dinner plate 24.13 26.04 Book 1 19.05 17.15 Cell phone Photograph Toy 10.16 10.8 36.83 40.0 9.53 12.7 Belt 106.68 105.41 Clothespin 6.99 9.53 Book 2 25.4 23.5 Calculator 8.89 12.07