Problem 4 (Regression Analysis, Service Company) Bobby Gonzales owns a catering company that prepares banquets and parties for both individual and business functions throughout the year. Gonzales" business is seasonal, with a heavy schedule during the summer months and the year-end holidays and a light schedule at other times. During peak periods there are extra costs. One of the major events Gonzales' customers request is a cocktail party. He offers a standard cocktail party and has developed the following cost structure on a per person basis. Food and bevernges Labor (0.5 hourN PIO per hour) Overhead (0.5 hour x P14 per hour) Total costs per person PIS.00 5.00 7.00 127.00 Gonzales is quite certain about his estimates of the food, beverages, and labor costs but is not as comfortable with the overhead estimate. This estimate was based on the actual data for the past 12 months presented below. These data indicate that overhead costs vary with the direct labor hours used. The P14 estimate was determined by dividing total overhead costs for the 12 months by total labor-hours. Month January February Labor-Hours 2,500 2,700 3,000 4,200 7,500 5.500 6,500 4,500 7,000 Overhead Costs P 55,000 59,000 March 60,000 April May 64,000 77,000 71,000 74,000 67,000 75,000 68,000 62,000 73.000 P8OS.000 June July August September October November December Total 4,500 3,100 6.500 S7.500 Gonzales has recently become aware of regression analysis. He estimated the following regression equation with overhead costs as the dependent variable and labor-hours as the independent variable. y- P48,271 + P3.93X Required 1. Plot the relationship between overhead costs and labor-hours. Draw the regression line and evaluate it using the criteria of economic plausibility, goodness of fit, and slope of the regression line.
Problem 4 (Regression Analysis, Service Company) Bobby Gonzales owns a catering company that prepares banquets and parties for both individual and business functions throughout the year. Gonzales" business is seasonal, with a heavy schedule during the summer months and the year-end holidays and a light schedule at other times. During peak periods there are extra costs. One of the major events Gonzales' customers request is a cocktail party. He offers a standard cocktail party and has developed the following cost structure on a per person basis. Food and bevernges Labor (0.5 hourN PIO per hour) Overhead (0.5 hour x P14 per hour) Total costs per person PIS.00 5.00 7.00 127.00 Gonzales is quite certain about his estimates of the food, beverages, and labor costs but is not as comfortable with the overhead estimate. This estimate was based on the actual data for the past 12 months presented below. These data indicate that overhead costs vary with the direct labor hours used. The P14 estimate was determined by dividing total overhead costs for the 12 months by total labor-hours. Month January February Labor-Hours 2,500 2,700 3,000 4,200 7,500 5.500 6,500 4,500 7,000 Overhead Costs P 55,000 59,000 March 60,000 April May 64,000 77,000 71,000 74,000 67,000 75,000 68,000 62,000 73.000 P8OS.000 June July August September October November December Total 4,500 3,100 6.500 S7.500 Gonzales has recently become aware of regression analysis. He estimated the following regression equation with overhead costs as the dependent variable and labor-hours as the independent variable. y- P48,271 + P3.93X Required 1. Plot the relationship between overhead costs and labor-hours. Draw the regression line and evaluate it using the criteria of economic plausibility, goodness of fit, and slope of the regression line.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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