A sociologist claims that the success of students in college (measured by their GPA) is related to their family’s

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3. A sociologist claims that the success of students in college (measured by their GPA) is related to their family’s income.  For a sample of 20 students, the correlation coefficient is 0.40.  Using the 0.01 significance level, can we conclude that there is a positive correlation between the variables?

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6. In a multiple regression equation, k=5 and n=20, the MSE value is 5.  10, and SS total is 519.68.  At the .05 significance level, can we conclude that any of the regression coefficients are not equal to 0?