QBA2 sample exam 2 with final answers

# QBA2 sample exam 2 with final answers - QUANTITATIVE...

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QUANTITATIVE BUSINESS ANALYSIS II 6500:222 Sample Exam 2 Professor Patankar Name :___________________________ Instructions : 1. Solve all problems b. Show all work for full credit 3. Point allocation is indicated in the parentheses. 4. Answers without supporting justification will not receive credit 5. Calculators are permitted. 6. Return the exam and scantron to your instructor when you are finished and before leaving the room 7. Please turn off your cell phones. 8. Please remove your caps.

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1. The director of Graduate Studies at a large college of business would like to be able to predict the grade point average (GPA) of students in an MBA program based upon Graduate Management Aptitude Test (GMAT) coded scores. A sample of 10 students who have completed two years in the program was selected; the results are as follows. GMAT GPA X Y 68 3.72 64 3.44 65 3.21 60 3.29 68 3.91 62 3.28 55 3.02 59 3.13 61 3.45 59 3.33 Assume: (3) a)Estimate the best linear relationship between GMAT score and GPA. Interpret slope of the relationship. 2 75 . 114 38721 1 . 2106 78 . 33 , 621 2 2 = = = = = ∑ ∑ ∑ ∑ y x xy y x
(4) b)Test the relationship for significance. Use α =0.05 (2)c)Compute coefficient of determination and interpret it. 3

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2. A multiple regression model, Y i = 5 0 + ß 1 X 1 + ß 2 X 2 + ß 3 X 3 + , i was run on certain data on a computer. The following output was obtained. Data on Y, X 1 , X 2 , and X 3 was entered in columns 1, 2, 3 and 4 respectively. Correlation Matrix Y X 1 X 2 X 3 Y 1 .5 .8 .3 X 1 .5 1 .1 .05 X 2 .8 .1 1 .6 X 3 .3 .05 .6 1 Variable Coefficient Standard error 1 .44 0.250 2 1.5 1.8 3 -2.1 2.8 constant 6.0 Analysis of Variance Source DF SS Regression 3 300 Error 22 200 Total 25 500 (2)a) Write the estimated model and interpret coefficient of X 3 . 4
(4)b) Test the model for significance. Use α =0.05 (4) c) Is there a relationship between Y and X 2 ? Use α =0.05 (3) d) Can you conclude that variables X 2 and X 3 are correlated? Use α =0.05 5

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3. The manager of the purchasing department of a large banking organization would like to develop a model to predict the amount of time (Y) it would take to process number of invoices
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QBA2 sample exam 2 with final answers - QUANTITATIVE...

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