The production department of Celltronics International wants to explore the rela
ID: 3150571 • Letter: T
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 15 during a one-hour period. Then 4 employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows.
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 15 during a one-hour period. Then 4 employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows.
Number of Assemblers Production (units) 15 25 4 28 20 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? 40 30 20 0 1 2 3 4 5 6 Assemblers Yes as the number of assemblers increases 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.) Y -Y (y-V 15 25 16 4 -12 144 28 20 4 18Explanation / Answer
b) there is a relation because as we are able to see the data tha analysis of that is clearly means that as the number of assemblers increases so does the production
c) here now we need to find the corre;ation coefficient
X=15 , Y=95 , XY=337 , X2=55 , Y2=2083
.
r = (nXYXY)/sqrt[nX2(X)2][nY2(Y)2]
=( 53371595)/sqrt[555152][52083952]
0.9862
X Y XY XX YY 2 15 30 4 225 4 25 100 16 625 1 7 7 1 49 5 28 140 25 784 3 20 60 9 400Related Questions
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