FRE 6023 Fall 2007 Midterm Exam
Polytechnic University
Professor Barry Blecherman
Tuesday 23 October 2007
This is an open-book, open-note, open-computer exam – there is no reason that I can anticipate that you’ll need a computer, but you may use one if you wish to. Please do not speak unless asking me a question and please keep your eyes focused on your own work.
Please keep your handwriting neat, and remember that I can only give full/partial credit if I understand what you’ve written. Do the problems in any order – just make sure that I can tell which problem your answer corresponds to.
This is a 2.5-hour exam. When you are finished, please put the white exam questions inside your Blue Book before turning in your exam.
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5. We learned that a firm should hire employees as long as the rule that marginal revenue product exceeds marginal cost holds. Many firms management training programs where new hires are paid well for a year or two but do not produce much value during that time. Are such firms behaving in violation of the rule? Explain your answer. 6. Give two good reasons why we should plot and study the residuals generated by a regression analysis. 7. Give an example of an economy of scale and an example of an economy of scope not found in your textbook. 8. Explain the break-even formula: QB = TFC / (P-AVC) in terms gross profit margin per sale. 9. A regression output shows that the coefficient for an independent variable has a p-value of 0.13784. Explain what this means.
10. Demand for a product has generated the following data:
|QD |P |Income |
|5 |75 |8 |
|12 |72 |5.5 |
|15 |71 |4 |
|19 |68 |2 |
|25 |64 |1.12 |
|35 |58 |0.75 |
|55 |45 |0.5 |
Regressing Q on the predictor P we see the following output:
|Regression Statistics | | |
- Complete all of the details required on the front page of the examination booklet. - Make sure that you note the SIX(6) questions attempted on the front of your examination booklet - If Seven questions are attempted, the first SIX(6) will be marked. - You may use a non-programmable calculator - Graph paper will be provided. - Answers are to be written in ink. Pencils are permitted for graphing purposes. - The
Complete exercises 4.3, 4.9, 4.15, 4.19, 4.23, 4.26, 4.61 (parts a, b, c and d only) in the textbook.
Use the lecture folder to help you complete this guide. The more detail you can provide the better prepared for the test you will be.
1. This is a closed book exam. You may only have pens, pencils , a calculator and one cheat sheet double sided on 8 ½ by 11 paper at your desk.
This study guide prepares you for the Final Examination you complete in the last week of the course. It contains practice questions, which are related to each week’s objectives. Highlight the correct response, and then refer to the answer key at the end of this Study Guide to check your answers.
Draw conclusions - Interpret the data from the graph made in Question 7. What conclusions can you make based on the results of this graph?
Complete the following problems from Chapter 8 and submit to your instructor. These problems will be graded for accuracy. Problems: 8-18, 8-23
You have until the end of class to finish this test. The questions should be fairly self-explanatory, however, if you have a question ask.
c) What is the null and alternative hypothesis? Do the data results lead you to reject or fail to reject the null hypothesis?
The following are study questions for the examination. The examination will be a closed-book examination.
29. A distribution center for a chain of electronics supply stores fills and ships orders to retail outlets. A random sample of orders is selected as they are received and the dollar amount of the order (in thousands of dollars) is recorded, and then the time (in hours) required to fill the order and have it ready for shipping is determined. A scatterplot showing the times as the response variable and the dollar amounts (in thousands of dollars) as the predictor shows a linear trend. The least squares regression line is determined to be: yˆ= 0.76 +1.8x. A plot of the residuals versus the dollar amounts showed no pattern, and the following values were reported: Correlation r +0.90; R 2 = 0.81; standard deviation of the residuals is 0.48. What percentage of the variation in the times required to prepare an order for shipping is accounted for by the fitted line?
The market for hybrid cars is changing. There are more providers but due to bad publicity and poor performance, demand is falling.
• Error values (ε) are statistically independent • Error values are normally distributed for any given value of x
This final exam will use multiple choice questions. You will be required to answer 100-