A golf pro wants to investigate the relation between the club-head speed of a golf club (measured in miles per hour) and the distance (in yards) that the ball will travel. He realizes other variables besides club-head speed determine the distance a ball will travel (such as club type, ball type, golfer, and weather conditions). To eliminate the variability due to these variables, the pro uses a single model of club and ball, one golfer, and a clear, 70- degree day with no wind. The pro records the club-head speed, measures the distance the ball travels, and collects the data in Table 1. Draw a scatter diagram of the data.

Approach Because the pro wants to use club-head speed to predict the distance the ball travels, club-head speed is the explanatory variable (horizontal axis) and distance is the response variable (vertical axis). Plot the ordered pairs (100, 257), (102, 264), and so on, in a rectangular coordinate system.

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Table 1 Club-head Distance Speed (mph) (yards) 100 257 102 264 103 274 101 266 105 277 100 263 99 258 105 275