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Problem 2 (Least-Squares Regression) HL Rental Car offers rental cars in an off-airport location near a major tourist destination in Baguio. Management would like to

Problem 2 (Least-Squares Regression)

HL Rental Car offers rental cars in an off-airport location near a major tourist destination in Baguio. Management would like to better understand the behavior of the company's costs. One of those costs is the cost of washing cars. The company operates its own car facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the costs of operating the car wash should be related to the number of rental returns. Accordingly, the following data have been compiled:

Month

Rental Returns

Car Wash Costs (pesos)

January

2,310

10,113

February

2,453

12,691

March

2,641

10,905

April

2,874

12,949

May

3,540

15,334

June

4,861

21,455

July

5,432

21,270

August

5,286

19,930

September

4,628

21,860

October

3,720

18,383

November

2,106

9,830

December

2,495

11,081

Required: Using least-squares regression, estimate the fixed cost and variable cost elements of monthly car wash costs. The fixed cost element should be estimated to the nearest peso and the variable cost element to the nearest centavo.

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