You wish to determine if there is a linear correlation between the two variables at a significance level of $\displaystyle \alpha={0.10}$. You have the following bivariate data set.

x	y
64.5	-8.3
57.3	48.3
69.5	-13.3
72.3	11.1
57.7	45.5
73.7	43.2
70.3	66.2
67.7	18.9
82.4	12.7
79.1	49.2
73.5	35.3
72.4	-13.9
44.4	93.7
51.1	73.4

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: $\displaystyle {t}=\sqrt{{\frac{{{r}^{{2}}{\left({n}-{2}\right)}}}{{{1}-{r}^{{2}}}}}}$ 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...


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