\fCritical 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 a = 0.05 ( = 0.01 0.950 0.990 0.878 0.959 0.811 0.917 SOONOUS 0.754 0.875 0.707 0.834 0.666 0.798 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\f(a) Display the data in a scatter plot. Choose the correct graph below. O A. OB. O C. OD. 220- 2.4 2.4- O 2207 200- 2.2/ .+ 200- Time (seconds) 180- 2.0- 2.0- Time (seconds) Time (seconds) Time (seconds) 180- 1.8- 1.8- 160- 1.6-. 1.67 160- 140- 1.4- 1.4 140- 1.4 2.4 140 220 140 220 1.4 2.4 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.I no a weak positive a strong positive a weak negative a perfect negative a strong negative . a perfect positive I Interpret the correlation. Choose the correct answer below. 0 . 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. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a llmeter sprint tends to increase. @1 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. 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 E. As the maximum weight for which one repetition of a half squat can be performed increases, time to run a illmeter sprint tends to decrease. O F. 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 ofcritical values for the Pearson correlation coefcient to make a conclusion about the correlation coefcient. Let a: [1.01. The critical value is |:. Therefore, there |:1| sufcient evidence at the 1% level of signicance to conclude that 'F between the maximum weight for which one repetition of a half squat can be performed and time to run a \"IImeter sprint. [Round to three decimal places as needed} 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