The Accompanying Lable Shows The Maximum Weights Ir Kilograms For Which One Repetilion Of A Hall Squat Can Be Performe 1 (109.35 KiB) Viewed 28 times
The accompanying lable shows the maximum weights (ir kilograms) for which one repetilion of a hall squat can be performed and the limes (in seconds) to run a 10-meter sprint for 12 interational soccer players. Complele parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. х MA ОВ. C Critical Values for the Pearson Correlation Coefficient a - X 1207 Data Table 90 190 2.44 2.2 2.04 TO 1.8 LLLL TH 1.CH 1411 140 220 Max Weightikal 150 140 1.4 Max (b) Calculate the sample correlation coefficient r. Maximum weight, X 175 180 150 200 145 180 185 150 185 (Round to three decimal places as needed.) Time, y 1.95 1.91 2.21 1.58 2.2 1.78 1.85 2.07 1.75 1.8 2.14 2.07 0.959 180 150 165 Critical Values for the Pearson Correlation Coefficient The correlation is significant when the absolute value of is greater than the value in the table. a = 0.05 a = 0.01 4 0.950 0.990 5 0.878 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12. 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0,496 Print Done
(b) Calculate the sample correlation coefficient r. r= -0.927 (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is a strong negative linear correlation. Interpret the correlation. Choose the correct answer below. A. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to decrease. B. Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to decrease. C. Based on the correlation, there does not appear to be any relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. D. Based on the correlation, there does not appear to be a linear relationship between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. E. Increases in the maximum weight for which one repetition of a half squat can be performed cause time to run a 10-meter sprint to increase. OF. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to increase. ОО (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a=0.01. is sufficient evidence at the 1% level of significance to conclude that there is a significant linear correlation between the maximum weight for which one repetition of a half squat can be performed and time to The critical value is 0.708. Therefore, there run a 10-meter sprint. (Round to three decimal places as needed.)
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