In: Math
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 | |||||
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.) |