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 17 during a one-hour period.
| 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 17 during a one-hour period. Then 5 employees assembled them. They produced 28 during a one-hour period. The complete set of paired observations follows. |
| Number of Assemblers |
One-Hour Production (units) |
| 3 | 17 |
| 5 | 28 |
| 2 | 8 |
| 6 | 34 |
| 4 | 23 |
| The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. |
Click here for the Excel Data File
| 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. Round sx, sy and r to 3 decimal places.) |
| X | Y | ( )2 | ( )2 | ( )( ) | ||
| 3 | 17 | -5 | 25 | |||
| 5 | 28 | 1 | 1 | 6 | ||
| 2 | 8 | -14 | 196 | |||
| 6 | 34 | 2 | 4 | 24 | ||
| 4 | 23 | 1 | 0 | 0 | ||
| = | = | sx | = |
| sy | = | r | = |
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