Homework SourseAssume you are given n 15 data points xi yi a Compute the
Assume you are given n = 15 data points (xi , yi):
(a) Compute the sample correlation coefficient r
(b) Assume that the data comes from the 2-dimensional normal distribution with some theoretical correlation coefficient . Test at significance = 5% the hypothesis H0 : = 0 using the t statistic.
| x: | 0.39 | 0.4 | -0.34 | 0.19 | 0.11 | -0.28 | 0.11 | 0.02 | 0.13 | 0.15 | 0.58 | 0.01 | 0.03 | 0.4 | 0.35 |
| y: | -0.27 | -0.26 | 0.31 | -0.2 | 0.25 | -0.66 | -0.34 | 0.09 | -0.12 | -0.16 | 0.57 | -0.17 | -0.03 | 0.63 | 0.31 |
Solution
