# You wish to determine if there is a positive linear correlation between the two variables at...

###### Question:

You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.001α=0.001. You have the following bivariate data set.

x y
79.4 93.7
54.6 26.9
42 70.2
86.2 84.2
117.9 139.4
51.9 45.4
56.3 69.3
75.7 64.7
59.7 114.5
72.4 51.6
49.9 35.8
93.9 84.4
27.1 29.1
91.9 117.6
55.6 42.8
85.5 125.1
84.4 121.4
105.1 142.3
72.6 37.7
84.5 34.5
101.2 117.9
82.1 131.1
128.4 117.9
97.8 128.6
105.9 75.9
28.7 7.6
60 98.1
90.3 89.3
78.2 96.4
72.2 60.7
65.9 33.1

What is the correlation coefficient for this data set?
r =
To find the p-value for a correlation coefficient, you need to convert to a t-score:

t=√r2(n−2)1−r2t=r2(n-2)1-r2

This t-score is from a t-distribution with n–2 degrees of freedom.

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

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