Posted by Ethel on .
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 twotailed test?

Statistics!!! 
MathGuru,
To find if there is a statistically significant linear relationship between number of friends and grade point average, use N2 for degrees of freedom at the .05 significance level for a twotailed 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. 
Statistics!!! 
Dolores,
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 twotailed test

Statistics!!! 
Suizan,
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 twotailed test