Question: The data in Table 5 represent the club-head speed and the distance a golf ball travels for eight swings of the club. We found that

The data in Table 5 represent the club-head speed and the distance a golf ball travels for eight swings of the club. We found that these data are linearly related .

Table 5 Club-head Speed (mph) x Distance (yd) y 100 257 (x,

(a) Find a linear equation that relates club-head speed, x (the explanatory variable), and distance, y (the response variable), by selecting two points and finding the equation of the line containing the points.

(b) Graph the line on the scatter diagram.

(c) Use the equation to predict the distance a golf ball will travel if the club-head speed is 104 miles per hour.

Approach

(a) Perform the following steps:

y) (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)

Table 5 Club-head Speed (mph) x Distance (yd) y 100 257 (x, y) (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)

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