Homework 6-Chapter 8 Correlation

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University of Kansas *

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Statistics

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Apr 3, 2024

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Chapter 8 Correlation Homework 6 (15pts) 1. Estimate whether the correlation coefficient between the following variables is positive, negative, or near zero. a. Height of vertical jump and distance of long jump - Positive b. Height of vertical jump and time of 40-yard dash - Negative c. Height of vertical jump and average speed of 40-yard dash - Positive d. Height of vertical jump and free-throw shooting percentage – Near Zero e. Free-throw shooting percentage and three-point shooting percentage – Near Zero f. One-repetition maximum in bench press and distance in shot put - Positive g. Age beyond 50 years and one-repetition maximum in bench press - Negative h. Hours watching television and body mass index - Positive i. Age beyond 50 years and total-body muscle mass - Negative j. Total-body muscle mass and resting energy expenditure - Positive 2. Use table A.2 in appendix A of the text to determine the statistical significance (α = .05) for the following: (a) r = 0.50, n = 10; (b) r = 0.50, n = 20; (c) r = 0.30, n = 20; (d) r = 0.30, n = 50. a) 0.632, not significant b) 0.444, significant c) 0.444, significant d) 0.279, significant 3. You have collected the following 40-yard dash times and 20-yard shuttle run times for high school football players: 40-yard dash (seconds; X ) 20-yard shuttle run (seconds; Y ) Definition Formula (Zx*Zy) 6.40 5.95 38.08 6.41 5.62 36.02 5.67 5.25 29.77 5.89 5.37 31.63 6.28 5.90 37.05 6.31 5.99 37.80 5.53 5.31 29.36 5.88 5.35 31.46

5.65 5.19 29.32 6.44 5.80 37.35 Use a computer and/or manual calculations as necessary to determine the following: Attach an additional Excel sheet showing ALL work for full credit. a. The mean and standard deviation of each variable = x/n = 60.46/10 = x ̅ Ʃ 6.046 = y/n = 55.73/10 = y ̅ Ʃ 5.573 b. The correlation between the two variables 0.8933 c. The level of confidence and the p value reached by the coefficient p-value = 0.000498 Level of confidence = 0.99 = 99% Repeat a. – c. using 2 variables found in the first tab of the attached excel file. Make sure to identify which 2 variables you choose to use.

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