You wish to determine if there is a linear correlation between the two variables at a significance level of `alpha = 0.005`. You have the following bivariate data set.

x	y
85.4	11.6
59.6	66.2
75.2	43.5
69.7	40.8
77.9	32.8
69	66.1
70	45.2
72.1	74.6
88.8	17.4
70.5	25.8
74.7	43.6
69	18.5
63.5	68.8
85.5	25.1
87	9.2
96.5	6.1
56.6	67.5
90.5	-3.7
77.8	33.5
59.2	53.6
88.5	5.5
66.6	82.8
76.9	19.1
87.4	37.6
60.7	82.9
86.8	-7.7
74.1	40.8
82.3	49.7
84.7	19.9
80.7	35.6
71.8	52.2

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What is the correlation coefficient for this data set?
       r =
(report answer accurate to at least 3 decimal places)

To find the p-value for a correlation coefficient, you need to convert to a t-score: `t = r*sqrt((n-2)/(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 =
(report answer accurate to at least 4 decimal places)

Your final conclusion is that...