Question
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
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 16 during a one-hour period. Then 5 employees assembled them. They produced 27 during a one-hour period. The complete set of paired observations follows. |
Number of Assemblers | One-Hour Production (units) |
3 | 16 |
5 | 27 |
2 | 11 |
6 | 50 |
4 | 36 |
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)YesNo, 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,syandrto 3 decimal places.) |
X | Y | ()2 | ()2 | ()() | ||
3 | 16 | -12 | 144 | |||
5 | 27 | 1 | 1 | -1 | ||
2 | 11 | -17 | 289 | |||
6 | 50 | 2 | 4 | 44 | ||
4 | 36 | 8 | 0 | 0 | ||
= | = | sx | = |
sy | = | r | = |
|
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