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, 2 employees were assigned to assemble the subassemblies. They produced 8 during a one-hour period. Then 4 employees assembled them. They produced 13 during a one-hour period. The complete set of paired observations follows. |
Number of Assemblers | One-Hour Production (units) |
2 | 8 |
4 | 13 |
1 | 4 |
5 | 17 |
3 | 13 |
The dependent variable is production; that is, it is assumed that different levels of productionresultfrom 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)increasesdecreases, so does the production. |
c. | Compute the correlationcoefficient.(Negativeamounts should be indicated by a minus sign. Roundsx,syandrto 3 decimal places.) |
X | Y | ()2 | ()2 | ()() | ||
2 | 8 | -3 | 9 | |||
4 | 13 | 1 | 1 | 2 | ||
1 | 4 | -7 | 49 | |||
5 | 17 | 2 | 4 | 12 | ||
3 | 13 | 2 | 0 | 0 | ||
= | = | sx | = |
sy | = | r | = |
|
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