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

x	y
56.5	99.6
54.4	61.5
28.9	-52.4
35.6	-182.2
45.5	324.9
46.5	-157
48.7	-55.4
51.9	235.2
52.3	-14.5
21.8	-480.3
20.2	184.6
60.8	137.3
36	-24
32	240.5
64.5	105
26.4	-44.5
14.1	152.4
49.1	-191.5
37.7	-221.5
44.3	-59.9
41.4	56.1
44.6	48.9
45.8	113.8
62.2	-51.7
49.6	64.4

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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...