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 =0.71 , n = 25

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The level of significance for a two-tailed test is 0.05The degrees of freedom = n - 2 = 25 - 2 = 23

From table:

critical value at of correlation coefficient for two tailed at 23,0.05 is: +- 0.396

Since the value of r in given problem is greater than 0.396, This shows there is a significant linear correlation.

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