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Problem 5 Research into the relationship between hours of study and grades shows widely different conclusions....

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Statistics

Problem 5

Research into the relationship between hours of study and gradesshows widely different conclusions. A recent survey of graduateswho wrote the Graduate Management Admissions Test (GMAT) had thefollowingresults.         

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 youroutput with your answer. (Note: You may calculate by hand if youprefer).
  2. What is the regression equation for this relationship?
  3. Use the regression equation to predict the average score foreach category of hours studied.
  4. Plot the original data and the regression line on a scattergram. (You may use Excel).
  5. How accurate is this regression at predicting GMAT scores basedon hours studied? Explain.
  6. Use the t statistic to determine whether the CorrelationCoefficient is “significant” at the 95% confidence level.

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