SECTION 9.1 Correlation 483 25. Maximal Strength and Jump Height The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the jump heights (in centimeters) for 12 international soccer players (Adapted from British Journal of Sports Medicine) Maximum weight, x 190 185 155 180 175 170 Jump height, y 60 57 54 60 56 64 Maximum weight, x 150 160 160 180 190 210 Jump height, y 52 51 49 57 59 64 26. Maximal Strength and Sprint Performance The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players (Adapted from British Journal of Sports Medicine) Maximum weight, x 175 180 155 210 150 190 Time, y 1.80 1.77 2.05 1.42 2.04 1.61 Maximum weight, x 185 160 190 180 160 170 Time, y 1.70 1.91 1.60 1.63 1.98 1.90 27. Earnings and Dividends The earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year (Source: The Value Line Investment Survey) Earnings per share, x 3.53 1.01 3.16 5.55 2.61 8.64 Dividends per share, y 1.18 0.88 2.64 2.16 0.90 2.68 28. Speed of Sound Eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes Altitude, x 0 5 10 15 20 25 Speed of sound, y 1116.3 1096.9 1077.3 1057.2 1036.8 1015.8 Altitude, x 30 35 40 45 50 Speed of sound, y 994.5 969.0 967.7 967.7 967.7 29. In Exercise 23, add data for a child who is 6 years old and has a vocabulary of 900 words. Describe how this affects the correlation coefficient r. 30. In Exercise 24, remove the data for the student who is 57 inches tall and scored 128 on the IQ test. Describe how this affects the correlation coefficient r. 31. In Exercise 25, remove the data for the international soccer player with a maximum weight of 170 kilograms and a jump height of 64 centimeters. Describe how this affects the correlation coefficient r. 32. In Exercise 26, add data for an international soccer player who can perform the half squat with a maximum of 210 kilograms and can sprint 10 meters in 2.00 seconds. Describe how this affects the correlation coefficient r.
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