Question

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

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 =

• 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.