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. OA. OB. OC. OD. O D. 220- 2.2- 220- 2.2- 200- 2.0- 200- 2.0- 180- 1.8- 180- 1.8- 160- 1.6- 160- 1.6- 1.4H 140 Max Weight (kg) 140- 1.4 Max Weight (kg) 1.4 140+ 1.4 Max Weight (kg) + 140 Max Weight (kg) -> 2.2 220 2.2 220 (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. O 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 increase. 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 decrease. O 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. 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 10-meter sprint tends to decrease. O F. 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. (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 isD. Therefore, there V sufficient evidence at the 1% level of significance to conclude that V 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.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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.
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