Suppose you will perform a test to determine whether there i

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha. n = 11, Alpha = 0.01

Solution

you can look at any r-critical table online like this one:

http://www.radford.edu/~jaspelme/statsbook/Chapter%20files/Table_of_Critical_Values_for_r.pdf

To find r-critical values with alpha = 0.01, df = n-2 = 9, two tailed values are (plus or minus) 0.735, i.e, -0.735 and 0.735