Question

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
r = 0.843, n = 5

Answer 1

using t-test, the test statistic is
\[t = \frac{r \sqrt{n-2}}{\sqrt{1-r ^{2}}}\]
t = 2.71
at alpha of .05, assuming 2 tailed test
critical value is 3.182
conclude it does not represent significant correlation

Answer 2

Also critical values for r
+- .8783