Use the golf data in Table 5.

(a) Find the least-squares regression line.

(b) Draw the least-squares regression line on the scatter diagram of the data.

(c) Predict the distance a golf ball will travel when hit with a club-head speed of 103 miles per hour (mph).

(d) Determine the residual for the predicted value found in part (c). Is the distance in Table 5 above average or below average among all balls hit with a swing speed of 103 mph?

Approach Because technology plays a role in obtaining the least-squares regression line, we will use a TI-84 Plus C graphing calculator, Minitab, Excel, and StatCrunch to obtain the least-squares regression line. The steps for obtaining regression lines are given in the Technology Step-by-Step.

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Table 5 Club-head Speed (mph) x Distance (yd) y (x, y) 100 257 (100,257) 102 264 (102,264) 103 274 (103,274) 101 266 (101,266) 105 277 (105,277) 100 263 (100, 263) 99 258 (99,258) 105 275 (105,275)