You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.05. You have the following bivariate data set. x y 18.7 39.3 12.2 71.7 20.8...


You wish to determine if there is a negative linear correlation between the two variables at a significance level of α=0.05. You have the following bivariate data set.





















































































xy
18.739.3
12.271.7
20.836.4
20.729.6
17.344.4
21.140.3
17.635.9
15.654.6
34.2-22.8
24.548.6
23.521.1
23.438.4
16.141.7
20.354.7
19.241.4
28.925.1
26.948.4
15.952.1





What is the correlation coefficient for this data set?

r =


To find the p-value for a correlation coefficient, you need to convert to at-score:


t=√r2(n−2)1−r2


This
t-score is from at-distribution withn–2 degrees of freedom.


What is the p-value for this correlation coefficient?
p-value =



Jun 02, 2022
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