Question 765570: I will really appreciate your help with this problem. Thanks.
The data given below are the number of absences for students in a college class and the student's final grade.
Number of absences x 10 12 2 0 8 5
Final grade y 70 65 96 94 75 82
Find the value of the correlation coefficient r. Discuss the type of relationship that appears to exist between the number of absences x and a student's final grade y.
Test the significance of the correlation coefficient using alpha=0.05.
H0: P=0(No relationship exist between number of absences and final grade)
Ha: p not equal to 0(A relationship exists between number of absences and final grade)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The data given below are the number of absences for students in a college class and the student's final grade.
Number of absences x 10 12 2 0 8 5
Final grade::::::: y 70 65 96 94 75 82
Find the value of the correlation coefficient r. Discuss the type of relationship that appears to exist between the number of absences x and a student's final grade y.
I used my TI-84 to get r = -0.9807
Type: Inverse::: As # of absences goes up, final grade goes down.
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Test the significance of the correlation coefficient using alpha=0.05.
H0: rho=0(No relationship exist between number of absences and final grade)
Ha: rho # 0(A relationship exists between number of absences and final grade)
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Critical value from Table A-6:::: 0.811
Note:: |r| = 0.9807
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Since |r| > critical value, reject Ho.
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A significant linear relationship exixts at the 5% level of confidence.
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Cheers,
Stan H.
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