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 = 0.75, n = 9

Answer 1

We can work out the critical value of r using the table for critical value

With n = 9, we can find the value of df = n - 2 = 9 - 2 = 7
Then read off the table for level of significance 0.05
A screen shot is shown in the table below, hence the critical value is 0.666

The given r gives a significant linear correlation as the critical value is close to one