Given the linear correlation coefficient r and the sample size n, determine the

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 = 0.806, n = 9

a Critical values: r = ±0.666, no significant linear correlation

b Critical values: r = -0.666, no significant linear correlation

c Critical values: r = ±0.666, significant linear correlation

d Critical values: r = 0.666, no significant linear correlation

Explanation / Answer

As n = 9, then

df = n-2 = 7. Hence, at 0.05 level, two tailed (as it doesn't say positive or negative correlation), then

OPTION C: Critical values: r = ±0.666, significant linear correlation [ANSWER]

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It is significant as r = 0.806 has greater absolute value than +/-0.666.

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