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
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, two employees were assigned to assemble the parts. They produced 15 during a one-hour period. Then, four employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows:
Number of
AssemblersOne-Hour
Production (units)215425110540330
The dependent variable is production; that is, it is assumed that the level of production depends on the 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?
(Click to select)
Yes
No
, as the number of assemblers
(Click to select)
increases
decreases
, so does the production.
a.Compute the correlation coefficient.(Round the final answer to 3 decimal places.)
r =
b.Evaluate the strength of the relationship by computing the coefficient of determination.(Round the final answer to 4 decimal place and the percentage to nearest whole percent.)
Ther2is
, so about
percent of the variation in production is explainedby the variation in the number of assemblers.
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