Midterm and Final Exam Test Scores A psychology instructor w

Midterm and Final Exam Test Scores A psychology instructor would like to know if there is a relationship between scores on the midterm and scores on the final exam. The data for the class are listed below and all scores are out of 100 points. Enter the data into Excel, determine the correlation coefficient, and explain what the number tells us. The correlation coefficient of midterm and final exam score is Explain what this correlation coefficient means (i.e., provide the strength and direction). What can you conclude about the relationship between scores on the midterm and final exam? (Describe in layman\'s terms the relationship between the variables)

Solution

1.

Getting the correlation using technology,
              
r =    0.674612035   [ANSWER]

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2.

As the coefficient of determination is              
              
r^2 =    0.455101398          
              
Thus, this means that about 45.51% of the variation in the final exam score is explained by the variation in the midterm scores.

Also, as it is positive, then that suggests a relatively strong positive linear relationship (as it is not really close to 1, but not very far either).

3.

We conclude that generally, as the higher midterm scores would lead to higher final exam scores.