The monthly cost (in dollars) of a data plan for Mercury Communications is a linear function of the total data usage (in gigabytes). The monthly cost for 25 gigabytes of data is $45.50 and the monthly cost for 40 gigabytes is $58.00. What is the monthly cost for 28 gigabytes of data?
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- Tom uses his computer to calculate the following regression formula:Weekly total costs = $18,791 + ($19.97 * Number of orders per week) Draw the regression line on your graph. Use your graph to evaluate the regression line using the criteria of economic plausibility, goodness of fit, and significance of the independent variable. Is the cost function estimated using the high-low method a close approximation of the cost function estimated using the regression method? Explain briefly.Refer to the information for Farnsworth Company (p. 139) for the first 10 months of data on receiving orders and receiving cost. Now suppose that Tracy has gathered 2 more months of data: Note: For the following requirements, round the intercept terms to the nearest dollar, round the variable rates to the nearest cent, and R2 to two decimal places. Required: 1. Run two regressions using a computer spreadsheet program such as Excel. First, use the method of least squares on the first 10 months of data. Then, use the method of least squares on all 12 months of data. Write down the results for the intercept, slope, and R2 for each regression. Compare the results. 2. CONCEPTUAL CONNECTION Prepare a scattergraph using all 12 months of data. Do any points appear to be outliers? Suppose Tracy has learned that the factory suffered severe storm damage during Month 11 that required extensive repairs to the receiving areaincluding major repairs on a forklift. These expenses, included in Month 11 receiving costs, are not expected to recur. What step might Tracy, using her judgment, take to amend the results from the method of least squares? 3. CONCEPTUAL CONNECTION Rerun the method of least squares, using all the data except for Month 11. (You should now have 11 months of data.) Prepare a cost formula for receiving based on these results, and calculate the predicted receiving cost for a month with 1,450 receiving orders. Discuss the results from this regression versus those from the regression for 12 months of data.Suppose a company finds that shipping cost is 3,560 each month plus 6.70 per package shipped. What is the cost formula for monthly shipping cost? Identify the independent variable, the dependent variable, the fixed cost per month, and the variable rate.
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