Reference no: EM131338172

STATISTICS

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 6 during a one-hour period. Then 4 employees assembled them. They produced 10 during a one-hour period. The complete set of paired observations follows.

Number of Assemblers	One-Hour Production (units)
2	6
4	10
1	4
5	18
3	12

a. The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.

b. A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production?

NoYes , as the number of assemblers, 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	( )( )
2	6		-4		16
4	10	1		1		0
1	4		-6		36
5	18	2		4		16
3	12		2	0		0