In: Math
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George Caloz & Frères, located in Grenchen, Switzerland, makes prestige high-end custom watches in small lots. One of the company’s products, a platinum diving watch, goes through an etching process. The company has observed etching costs as follows over the last six weeks: |
| Week | Units | Total Etching Cost | |||||
| 1 | 14 | $ | 27 | ||||
| 2 | 11 | $ | 20 | ||||
| 3 | 16 | $ | 30 | ||||
| 4 | 10 | $ | 20 | ||||
| 5 | 12 | $ | 25 | ||||
| 6 | 15 | $ | 28 | ||||
| 78 | $ | 150 | |||||
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For planning purposes, management would like to know the amount
of variable etching cost |
| Required: |
| 1. |
Prepare a scattergraph plot. (Place etching costs on the
vertical axis and units on the horizontal |
| Instructions: | |
| 1. | On the graph below, use the point tool (Week 1) to plot units on the horizontal axis and total etching cost on the vertical axis. |
| 2. | Repeat the same process for the plotter tools (Week 2 to Week 6). |
| 3. | To enter exact coordinates, click on the point and enter the values of x and y. |
| 4. | To remove a point from the graph, click on the point and select delete option. |
| 2(a). | Using the least-squares regression method, estimate the
variable and fixed elements of etching cost. (Round your answers to 2 decimal places.) |
| 2(b). | Express the cost data in (2a) above in the form Y = a + bX. (Round your answers to 2 decimal places.) |
| 3. |
If the company processes thirteen units next week, what would be the expected total etching cost? (Round your intermediate and final answers to 2 decimal places.) |