You wish to determine if there is a linear correlation between the two variables at a significance level of `alpha = 0.05`.
You have the following bivariate data set.
x | y |
---|
54.3 | 43.6 |
69 | 33.8 |
58.5 | 31.7 |
58.8 | 17.8 |
45.7 | 64.5 |
60.1 | -6.2 |
21.2 | 83.1 |
64.9 | 21.5 |
58.3 | 31.2 |
69 | 44.9 |
42.6 | 42.5 |
39 | 20.9 |
74.8 | -1.5 |
82.7 | -8.6 |
62.7 | 19.6 |
56.1 | 61.7 |
55.3 | 27.9 |
62.2 | 38.4 |
22.7 | 51.3 |
27.9 | 98.1 |
70.1 | 45.3 |
42.5 | 73.8 |
62.8 | 0.6 |
85 | 36.1 |
76.9 | -16.5 |
56.1 | 64.2 |
102.8 | -8.6 |
48.9 | 85.2 |
62.4 | 28.1 |
82.5 | 40.4 |
56.8 | 3.8 |
70.5 | 52.2 |
56.2 | 26.3 |
77.1 | 28.7 |
24.8 | 73.6 |
42.1 | 57.7 |
12.1 | 75.7 |
59.9 | 1.8 |
34 | 97.2 |
34.8 | 66.9 |
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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...