The production department of Celltronics International wants to explore the rela

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 an experiment, 2 employees were assigned to assemble the subassemblies. They produced 9 during a one-hour period. Then 4 employees assembled them. They produced 15 during a one-hour period. The complete set of paired observations follows.

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

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

Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.)

Number of
Assemblers One-Hour
Production (units) 2 9 4 15 1 6 5 26 3 19

Explanation / Answer

c)

Xbar =3 ; Ybar =15 ; Sx=(Sxx/(n-1))1/2 =1.5811 ; Sy=(Syy/(n-1))1/2 =7.9687

r=Sxy/(SSx*SSy)1/2 =0.9127

S.No X Y (x-x) (y-y) (x-x)2 (y-y)2 (x-x)(y-y) 1 2.00 9.000 -1.0000 -6.0000 1.0000 36.0000 6.0000 2 4.00 15.000 1.0000 0.0000 1.0000 0.0000 0.0000 3 1.00 6.000 -2.0000 -9.0000 4.0000 81.0000 18.0000 4 5.00 26.000 2.0000 11.0000 4.0000 121.0000 22.0000 5 3.00 19.000 0.0000 4.0000 0.0000 16.0000 0.0000 Total 15 75 0.0000 0.0000 10.0000 254.0000 46.0000 Mean 3.0000 15.0000 SSX SSY SXY

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.