The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 intenational soccer players are given in the accompanying table. The correlation coefficient, rounded lo three decimal places, is r=0.770. At a=0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? A Click the icon to view the soccer player data. Maximum Weights and J&mp Heights Determine the null and alternative hypotheses Họ: p o Maximum Hp o Jump height, y weight, x 190 59 Determine the critical value(s). 185 56 6-0 55 155 (Round to three decimal places as needed. Use a comma to separate answers as needed.) 180 59 175 57 Determine the standardized test statistic. 170 63 t= (Round to three decimal places as needed.) 150 53 160 51 What is the conclusion? 160 50 180 58 V Ho. There V enough evidence at the 5% level of significance to conclude that there is a significant linear correlation between the maxim 190 60 210 65

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to
three decimal places, is r=0.770. At a=0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables?
H Click the icon to view the soccer player data.
Determine the null and alternative hypotheses.
Maximum Weights and J&mp Heights
Ho: P
Maximum
H:p o
Jump
height, y
weight, x
190
59
Determine the critical value(s).
185
56
6-0
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
to
155
55
180
59
175
57
Determine the standardized test statistic.
170
63
t= (Round to three decimal places as needed.)
150
53
160
51
What is the conclusion?
160
50
180
58
M Ho. There
V enough evidence at the 5% level of significance to conclude that there is a significant linear correlation between the maxim
190
60
210
65
Print
Done
Transcribed Image Text:The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r=0.770. At a=0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? H Click the icon to view the soccer player data. Determine the null and alternative hypotheses. Maximum Weights and J&mp Heights Ho: P Maximum H:p o Jump height, y weight, x 190 59 Determine the critical value(s). 185 56 6-0 (Round to three decimal places as needed. Use a comma to separate answers as needed.) to 155 55 180 59 175 57 Determine the standardized test statistic. 170 63 t= (Round to three decimal places as needed.) 150 53 160 51 What is the conclusion? 160 50 180 58 M Ho. There V enough evidence at the 5% level of significance to conclude that there is a significant linear correlation between the maxim 190 60 210 65 Print Done
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