Question

PLEASE HELP ME

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 a.

n=11, a = 0.01

A r=+0.735
B r=+0.602
C r= 0.765
D r= 0.735

Answer 1

Answer choice D. In order to find the r value, you need to find the degrees of freedom (df). df = n -2. In this case then the degrees of freedom is 9 (11 - 2). Now you use the df, the significance value (also known as p-value), and the critical value table (search it up if you don’t have one) to find that with a df of 9 and a probability value of 0.01, the r = 0.735.

The reason for why the answer is not “A” is due to the fact that we’re finding all of the possible r values, we are not a evaluating r to see whether or not it is significant.