Answer Happy

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. A. B. D. Time (seconds) 2.2 2.0- 1.8+ 1.6- 1.4+ 140 220 57 Time (seconds) Max Weight (kg) (b) Calculate the sample correlation coefficient r. r= (Round to three decimal places as needed.) 2.2- 2.0- 1.8- 1.6- 1.44 + 140 + 1: 220 Max Weight (kg) U O Time (seconds) ن 220- 200- 180- 160- 140- 1.4 D. 2.2 Max Weight (kg) K- Time (seconds) 220 200- 180- 160- 140+ T. 1. 1.4 Max Weight (kg) 2.2 K
Data Table Maximum weight, x 165 175 145 205 145 185 185 150 180 175 160 160 Time, y 1.88 1.85 2.12 1.5 2.11 1.68 1.76 1.99 1.69 1.72 2.05 1.98
Critical Values for the Pearson Correlation Coefficient Critical Values for the Pearson Correlation Coefficient The correlation is significant when the absolute value of is greater than the value in the table. n α = 0.05 α = 0.01 4 0.950 0.990 5 0.878 0.959 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
Critical Values for the Pearson Correlation Coefficient 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
Critical Values for the Pearson Correlation Coefficient 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 α = 0.05 α = 0.01