You wish to determine if there is a linear correlation between the two variables at a significance level of `alpha = 0.10`.
You have the following bivariate data set.
x | y |
---|
43 | 173.3 |
36 | -6.9 |
67.1 | -8.1 |
74.4 | -47.4 |
39.9 | -2.9 |
47.8 | -22.8 |
33.1 | 7.2 |
65.4 | -1 |
37.8 | -56.3 |
85.9 | 68.4 |
64 | 28.9 |
57.9 | -58.1 |
56.4 | 11.9 |
65.3 | 101.7 |
43.9 | 0.8 |
53.3 | -49.4 |
49.8 | -92.4 |
43.7 | -6.9 |
19 | 30.9 |
57.2 | 29.1 |
42 | -26.3 |
39.2 | -4.4 |
66 | -113.1 |
41.4 | 72.3 |
43.8 | 6 |
67.4 | 7 |
59.9 | 178.2 |
27.9 | 79.5 |
download link provided here:
Download CSV
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...