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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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