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In: Statistics and Probability

Problem 5 (14 Marks) Research into the relationship between hours of study and grades shows widely...

Problem 5

Research into the relationship between hours of study and grades shows widely different conclusions. A recent survey of graduates who wrote the Graduate Management Admissions Test (GMAT) had the following results.         

Hours

Studied            Average

(Midpoint)      Score

40                    200

50                    290

65                    335

75                    445

85                    530

105                  650

95                    690

           

  1. Run the regression analysis in Excel on this data. Include your output with your answer. (Note: You may calculate by hand if you prefer).
  2. What is the regression equation for this relationship?
  3. Use the regression equation to predict the average score for each category of hours studied.
  4. Plot the original data and the regression line on a scatter gram. (You may use Excel).
  5. How accurate is this regression at predicting GMAT scores based on hours studied? Explain.
  6. Use the t statistic to determine whether the Correlation Coefficient is “significant” at the 95% confidence level.

Solutions

Expert Solution

orchestra answered 1 year ago
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