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=−​0.816, n=5

A.Critical​ values: r=plus or minus±​0.950, no significant linear correlation

B.Critical​ values: r=plus or minus±​0.878, significant linear correlation

C.Critical​ values: r=​0.950, significant linear correlation

D.Critical​ values: r=plus or minus±​0.878, no significant linear correlation

Answer 1

We have given,

r=−​0.816,

n=5

Degree of freedom =n-1=5-2=3

r critical values

|r| = 0.816 <0.878

D.Critical​ values: r=plus or minus±​0.878, no significant linear correlation