# 1. A manager of a store that sells and installs spas wants to prepare a

Question: 1. A manager of a store that sells and installs spas wants to prepare a forecast for January, February, and March of next year. Her forecasts are a combination of trend and seasonality. She uses the following equation to estimate the trend component of monthly demand: Ft = 60 5t, where t = 0 in June of last year. Seasonal relatives are .87 for January, .911. A manager of a store that sells and installs spas wants to prepare a forecast for January, February, and March of next year. Her forecasts are a combination of trend and seasonality. She uses the following equation to estimate the trend component of monthly demand: Ft = 60 5t, where t = 0 in June of last year. Seasonal relatives are .87 for January, .91 for February, and 1.02 for March. What demands should she predict? (Round your answers to 2 decimal places.)
Month Forecast January of the next year February of the next year March of the next year
2.
A tourist center is open on weekends (Friday, Saturday, and Sunday). The owner-manager hopes to improve scheduling of part-time employees by determining seasonal relatives for each of these days. Data on recent traffic at the center have been tabulated and are shown in the following table:
Week 1 2 3 4 5 6 Friday 130 140 140 140 145 150 Saturday 240 240 250 250 265 265 Sunday 150 150 160 160 160 170 a. Develop seasonal relatives for the shop using the centered moving average method. (Round your intermediate calculations and final answers to 2 decimal places.)
X⎯⎯⎯X¯ Friday Saturday Sunday b. Develop seasonal relatives for the shop using the SA method. (Round your intermediate calculations and final answers to 4 decimal places.)

SA Index Friday Saturday Sunday
3.
The following data were collected during a study of consumer buying patterns:
Observation x y Observation x y 1 12 77 8 20 74 2 30 75 9 13 74 3 40 83 10 10 73 4 30 76 11 17 80 5 56 100 12 29 83 6 47 99 13 32 86 7 26 87
b. Obtain a linear regression line for the data.(Round your intermediate calculations and final answers to 3 decimal places.)
y = x
c. What percentage of the variation is explained by the regression line? (Do not round intermediate calculations. Round your answer to the nearest whole percent. Omit the “%” sign in your response.)
Approximately % of the variation in the dependent variable is explained by the independent variable.
d. Use the equation determined in part b to predict the expected value of y for x = 43. (Round your intermediate calculations and final answers to 3 decimal places.)
y =
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