statistic problem
The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 3 employees were assigned to assemble the subassemblies. They produced 7 during a one-hour period. Then 5 employees assembled them. They produced 12 during a one-hour period. The complete set of paired observations follows. |
| Number of Assemblers | One-Hour Production (units) |
| 3 | 7 |
| 5 | 12 |
| 2 | 3 |
| 6 | 14 |
| 4 | 9 |
The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. |
| b. | A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production? |
| | |
| , as the number of assemblers , so does the production. |
| c. | Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Roundsx, sy and r to 3 decimal places.) |
| X | Y | ( | ( | ( | ||
| 3 | 7 | [removed] | -2 | [removed] | 4 | [removed] |
| 5 | 12 | 1 | [removed] | 1 | [removed] | 3 |
| 2 | 3 | [removed] | -6 | [removed] | 36 | [removed] |
| 6 | 14 | 2 | [removed] | 4 | [removed] | 10 |
| 4 | 9 | [removed] | 0 | 0 | [removed] | 0 |
| [removed] | [removed] | [removed] | [removed] | [removed] | ||
| = | [removed] | = | [removed] | sx | = | [removed] |
| sy | = | [removed] | r | = | [removed] |
10 years ago 5
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