The production department of Centronics International wants to explore the relat
ID: 3157631 • Letter: T
Question
The production department of Centronics 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 18 during a one-hour period. Then 4 employees assembled them. They produced 30 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? Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and rto 3 decimal places.)Explanation / Answer
X Y X - Xm Y - Ym (X - Xm)^2 (Y - Ym)^2 (X-Xm)(Y-Ym) 2 18 -1 -7 1 49 7 4 30 1 5 1 25 5 1 9 -2 -16 4 256 32 5 40 2 15 4 225 30 3 28 0 3 0 9 0 Mean 3 25 Xm 3 r 0.9853 Ym 25 Sx 1.58113883 Sy 11.8743421
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