Question

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

x	y
43.3	-108.4
21.9	114.3
1.5	113.2
62.4	143.4
-2.2	48.1
20.3	-32.4
36.5	62.5
20.5	93.2
-10	-71.7
31.9	-323.3
30.9	132.5
51.2	-276.3
29.5	-3.4
2.9	-28.1
7.4	277.4
31.7	194.3
25.2	-120.5
12.6	-113.8
33.5	494.4
28.8	-99.9
37.1	229.6
11.7	-196.9
39.1	-295.9
18.7	-192.7
-1.1	-355.2
20.5	219.1
19.3	-106.6
44.1	88.8
50.6	89
11.9	-5.3
48.9	100.4
38.9	-28.8
18.8	107.4
34.8	48.7
57.6	54.8
27.4	85.3
59.5	255.2
18.1	-161.6
29.8	-221.4

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

The statistical software output for this problem is :

r = 0.1889

t = 1.1703

P-value = 0.2494