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. |
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| 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. |
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| b. | A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production? |
| (Click to select)NoYes , as the number of assemblers (Click to select)decreasesincreases, 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 | ( )2 | ( )2 | ( )( ) | ||
| 3 | 7 | -2 | 4 | |||
| 5 | 12 | 1 | 1 | 3 | ||
| 2 | 3 | -6 | 36 | |||
| 6 | 14 | 2 | 4 | 10 | ||
| 4 | 9 | 0 | 0 | 0 | ||
| = | = | sx | = |
| sy | = | r | = |
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