Posted by **Ethel** on Monday, July 8, 2013 at 4:21pm.

c. The correlation between number of friends and grade point average (GPA) for 50 adolescents is .37. Is this significant at the .05 level for a two-tailed test?

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**MathGuru**, Monday, July 8, 2013 at 6:41pm
To find if there is a statistically significant linear relationship between number of friends and grade point average, use N-2 for degrees of freedom at the .05 significance level for a two-tailed test. Use a table for critical or cutoff values for a Pearson r. Compare the value from the table to the test statistic stated in the problem. If the test statistic exceeds the critical value from the table (either direction), the null will be rejected. There will be a linear relationship in the population and the test will be statistically significant. If the test statistic does not exceed the critical value from the table, then the null will not be rejected and you cannot conclude a linear relationship in the population.

I hope this brief explanation will get you started.

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**Dolores**, Sunday, February 16, 2014 at 6:26pm
The correlation between number of friends and grade point average (GPA) for 50 adolescents is .37. Is this significant at the .05 level for a two-tailed test

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