You wish to determine if there is a negative linear correlation between the two variables at a significance level of `alpha = 0.001`.
You have the following bivariate data set.
x | y |
---|
71.6 | -0.7 |
43.4 | 29.5 |
36.2 | 37.2 |
22.1 | 74.3 |
52.1 | 44.9 |
56.3 | 45.2 |
52.4 | 39.4 |
61.7 | 53.4 |
38.2 | 19 |
51.2 | -30.8 |
51.4 | 36.3 |
29.7 | 57.2 |
31.4 | 50.7 |
61.9 | 1.9 |
51.9 | 6.7 |
27.6 | 70.5 |
65.2 | -33.2 |
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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...