Question

You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10. You have the following bivariate data set.

x	y
41.4	82.8
48.4	97.1
49.9	89.8
47	92.8
20.5	63.7
40.5	74.3
33	70.2
25.9	64.9
29.1	66.1
28.7	80.2
9.7	41.8
23.2	50.3
13.4	49
-5.2	25.4
23.8	56.2
22.5	53.3
30.9	67.4
7	39.6
18.7	46.4
10.5	25.8

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−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 =

Your final conclusion is that...

• There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.
• There is insufficient sample evidence to support the claim the there is a correlation between the two variables.

Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.

Answer 1