Buckeye Creek Amusement Park is open from the beginning of May to the end of October. Buckeye Creek relies heavily on the sale of season passes. The sale of season passes brings in significant revenue prior to the park opening each season, and season pass holders contribute a substantial portion of the food, beverage, and novelty sales in the park. Greg Ross, director of marketing at Buckeye Creek, has been asked to develop a targeted marketing campaign to increase season pass sales.
Greg has data for last season that show the number of season pass holders for each zip code within 50 miles of Buckeye Creek. He has also obtained the total population of each zip code from the U.S. Census bureau website. Greg thinks it may be possible to use
Managerial Report
- 1. Compute
descriptive statistics and construct ascatter diagram for the data. Discuss your findings. - 2. Using simple linear regression, develop an estimated regression equation that could be used to predict the number of season pass holders in a zip code given the total population of the zip code.
- 3. Test for a significant relationship at the .05 level of significance.
- 4. Did the estimated regression equation provide a good fit?
- 5. Use residual analysis to determine whether the assumed regression model is appropriate.
- 6. Discuss if/how the estimated regression equation should be used to guide the marketing campaign.
- 7. What other data might be useful to predict the number of season pass holders in a zip code?
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Chapter 14 Solutions
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- The Crazy Nut Company wishes to market two special nut mixes during the holiday season. The Fancy Mix contains 0.5 pound of peanuts and 0.5 pound of cashews. The Deluxe Mix contains 0.6pound of peanuts, 0.2 pound of cashews and 0.15 pound of almonds. Fancy Mix sells for $12 per can and Deluxe Mix sells for $16 per can. The data pertinent to the raw ingredients appear in the table. The Crazy can sell all cans of either mix that it produces, but wants to keep the production quantity of Fancy Mix at least twice as many as Deluxe Mix. Formulate an LP model to determine how many of each mix to produce to maximize the total profit. Do not solve it. You can formulate as a spreadsheet model or an algebraic model. Define your decision variables (changing cells) clearly. Ingredient Amount Available (lb) Cost Per Pound (s) Peanuts 300 $1 Cashews 120 $3 Almonds 90 $4arrow_forwardA company is analyzing the data of two branches located in different cities. Part of reviewing the effectiveness of the branches involves analyzing the member statistics on each branch's website. Branch A: The number of visitors doubles each week. Branch B: The number of visitors increases by 4 each week. Part A: The table below shows the number of visitors to each website for the first four weeks. Based on this table, which of the following statements best describes the data. Branch Branch A В Week 1 20 20 Week 2 40 24 Week 3 80 28 Week 4 160 32 Branch A is a linear function; Branch B is an exponential function. Branch A is an exponential function; Branch B is a linear function. Both Branch A and Branch B are linear functions. Both Branch A and Branch B are exponential functions. Part B Explain your response to Part A. Be sure to include an explanation for both Branch A and Branch B. Ω В I U S X, x² Font Size 99arrow_forwardWetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.)arrow_forward
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- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL