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

Question

Mathematics

Azaria

4 July, 17:11

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

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Answers (1)

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Manatee · 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.