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 11 during a one-hour period. Then 4 employees assembled them. They produced 18 during a one-hour period. The complete set of paired observations follows.

Number of Assemblers One-Hour Production (units)

2 11

4 18

1 5

5 23

3 18

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

a.Draw a scatter diagram.

1.On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1).

2.Repeat the process for the remainder of the sample (No of Assemblers2, No of Assemblers3, ... ).

3.To enter exact coordinates, double-click on the point and enter the exact coordinates ofxandy.

40

n

o30

i

t

c20

u

d

o10

r

P

0

0123456

Assemblers

No of Assemblers 1 ________

No of Assemblers 2 ________

No of Assemblers 3 ________

No of Assemblers 4 ________

No of Assemblers 5 _________

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

_______, as the number of assemblers ______________so does the production.

x y (x-x) (y-y) (xx)2 (yy)2 (xx) (yy)

2 11 _______ -4 _______ 16 ___________

4 18 1 _____ 1 _______ 3

1 5 _______ -10 _______ 100 ___________

5 23 2 _____ 4 _______ 16

3 18 _______ _____ 3 0 0

____ _____ _______ _______ ___________

x= ______ y= ______ S_x= _______

S_y =_______ r = _______