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. B. O c. OD. . 2.2- 220- 220- Q 8 2 8200- 2.0-16 200- 8 1 Time (seconds) $ 180- 8 1 Time (seconds) 180- Time 1.6- 1.6- 160- 14 4 10- 1.4 140 140 220 1.4 2 2 140 220 14 2.2 Max Weight (kg) Max Weight (kg) Max Weight (kg) Max Weight (kg) (b) Calculate the sample correlation coefficient r. 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. 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 increase. 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. 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. 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 O E. 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. OF. 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) 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.) there is a significant linear correlation there is no corre\fCritical Values for the Pearson Correlation Coefficient IS greater than the value in the table. a = 0.05 ( = 0.01 0.950 0.990 0.878 0.959 CO VOUT A S 0.811 0.917 0.754 0.875 0.707 0.834 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 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 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 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 n a = 0.05 ( = 0.01 Print Done