statistic problem

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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 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.

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.

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?


	, as the number of assemblers , so does the production.

c.	Compute the correlation coefficient. *(Negative amounts should be indicated by a minus sign. Rounds_x, s_y* and r to 3 decimal places.)**

X	Y			( )²	( )²	( )( )
3	7	[removed]	-2	[removed]	4	[removed]
5	12	1	[removed]	1	[removed]	3
2	3	[removed]	-6	[removed]	36	[removed]
6	14	2	[removed]	4	[removed]	10
4	9	[removed]	0	0	[removed]	0
[removed]	[removed]			[removed]	[removed]	[removed]