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 =

Answer 1