South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $308,000 in the first year of operation to $1,084,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars Quarter Year 1 Year 2 Year 3 Year 4 Year 5 1 20 37 75 92 176 2 100 136 155 202 282 3 175 245 326 384 445 4 13 26 48 82 18 a. Construct a time series plot. What type of pattern exists in the data? b. Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 5 1 if quarter 1, 0 otherwise; Qtr2 5 1 if quarter 2, 0 otherwise; Qtr3 5 1 if quarter 3, 0 otherwise. c. Based on the model you developed in part (b), compute estimates of quarterly sales for year 6. d. Let Period 1 5 refer to the observation in quarter 1 of year 1; Period 2 5 refer to the observation in quarter 2 of year 1; .Ă‚Â .Ă‚Â . ; and Period 2 5 0 refer to the observation in quarter 4 of year 5. Using the dummy variables defined in part (b) and the variable Period, develop an equation to account for seasonal effects and any linear trend in the time series. e. Based on the seasonal effects in the data and linear trend estimated in part (c), compute estimates of quarterly sales for year 6. f. Is the model you developed in part (b) or the model you developed in part (d) more effective? Justify your answer
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Save your time - order a paper!
Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You wonâ€™t have to worry about the quality and deadlinesOrder Paper Now