In: Statistics and Probability
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 = 0.353, n = 15
A. Critical values: r = ±0.532, no significant linear correlation
B. Critical values: r = ±0.514, significant linear correlation
C. Critical values: r = ±0.514, no significant linear correlation
D. Critical values: r = 0.514, no significant linear correlation
We have given,
Sample size =n=15
Degree of freedom =n-2=15-2=13
|r| =0.353 < r critical value =0.514
C. Critical values: r = ±0.514, no significant linear correlation