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. Maximum weight, x    Time, y 165    1.93 170    1.86 150    2.17 200    1.54 150    2.17 190    1.74 185    1.8 160    2 190    1.72 170    1.73 160    2.08 165    1.99 ​(b) Calculate the sample correlation coefficient r. ​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.

Maximum weight, x    Time, y
165    1.93
170    1.86
150    2.17
200    1.54
150    2.17
190    1.74
185    1.8
160    2
190    1.72
170    1.73
160    2.08
165    1.99

​(b) Calculate the sample correlation coefficient r.

​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.

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