Question

Given the linear correlation coefficient r and the sample size, n, determine the critical values of r and use you finding to state whether or not the given r represents a significant linear correlations. Use a significance level of 0.05 . r = 0.105, n = 15
A.) Critical values: r= ± 0.514, no significant linear correlation.


B.) Critical values: r = ± 0.514,significant linear correlation.


C.) Critical values: r= ± 0.532, no significant linear correlation.


D.) Critical values: r = 0.514, no significant linear correlation

Answer 1

Answer: A.) Critical values: r= ± 0.514, no significant linear correlation

Step-by-step explanation:

r = 0.105

n = 15

The level of significance for a two-tailed test is 0.05

The degrees of freedom = n - 2 = 15 - 2 = 13

Using the pearson product moment correlation Coefficient table ; The critical value for the correlation Coefficient is ±0.513977

When the correlation coefficient (for a sample of 15 drawn from the same population) is less than ±0.514 (critical value), that means no significant linear correlation exists.