The accompanying table shows 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. Complete 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. O A. OB. O C. O D. O O 220- 2.4 2.4- 220 2.2- 2.2- 200 200 2.0- 2.0- Time (seconds) 180 Time (seconds Time (seconds 180 Time (seconds) 1.8- 1.8- 160- 1.6- .6- 160- 140- 140- 1.4 1.4 140 220 140 220 Max Weight (kg) Max Weight (kg) Max Weight (kg) Max Weight (kg)(b) Calculate the sample correlation coefficient r. (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 linear correlation. Interpret the correlation. Choose the correct answer below.Interpret the correlation. Choose the correct answer below. O A. 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. O 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 increase. O C. 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. O D. 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. O E. As the maximum weight for whichone repetition of a half squat can be performed increases, time to run a 10-meter sprint tends to decrease. O F. 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. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. The critical value is . Therefore, there sufficient evidence at the 1% level of significance to conclude that between the maximum weight for which one repetition of a half squat can be performed and time to run a 10-meter sprint. (Round to three decimal places as needed.) Next\fitical Values for the Pearson Correlation Coeffic The correlation is significant when the absolute value of / is greater than the value in the table. ( = 0.05 ( = 0.01 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 0.666 0.798 0.$32 0.765 0.602 0.735 0.576 0.708 0.553 0.684 0.532 0.661 0.514 0.641 0.497 0.623 0.482 0.606 0.468 0.590 0.456 0.575 0.444 0.561 0.433 0.549 Print Done MacBook AirCritical Values for the Pearson Correlation ( 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 27 0.381 0.487 28 0.374 0.479 0.367 0.471 30 0.361 0.463 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 Print DoneX Critical Values for the Pearson Correlation Coefficient 0.396 0.505 26 0.388 0.496 0.381 0.487 0.374 0.479 0.367 0.471 0.361 0.463 0.334 0.430 0.312 0.403 0.294 0.380 0.279 0.361 0.266 0.345 0.254 0.330 titi 0.244 0.317 0.235 0.306 e a 0.227 0.296 De a 80 0.220 0.286 0.213 0.278 a ha 90 0.207 0.270 fa ha 95 0.202 0.263 100 0. 197 0.256 tion c n a = 0.05 ( = 0.01 nt evic he m Print Done MacBook Air 000 F4 F5 F6 F7 DII F8 F9