[All Steps] The production department of NDB Electronics wants to explore the relationship between the number of employees who assemble a subassembly and
Question: The production department of NDB Electronics wants to explore the relationship between the number of employees who assemble a subassembly and the number of products produced. As an experiment, two employees were assigned to assemble the subassemblies. 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 Assemblers |
One-Hour
Production (units) |
| 2 | 15 |
| 4 | 25 |
| 1 | 10 |
| 5 | 40 |
| 3 | 30 |
Show calculations on the next page or embed the responses from Excel into this section.
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Determine the correlation coefficient.
Place your answer (only the value) in the box to the right: - Determine the coefficient of determination.
| Place your answer (only the value) in the box to the right: |
Worksheet for Formula 13-1, Correlation Coefficient
r = \[\sum{{}}\] (X – Xbar) (Y – Ybar)
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(n - 1) s x s y
Xbar = \[\sum{{}}\] X / n
Ybar = \[\sum{{}}\] Y / n
S x = \[\sqrt{{}}\] (X – Xbar) 2 /(n-1)
S y = \[\sqrt{{}}\] (Y – Ybar) 2 /(n-1)
| X | Y | (X – Xbar) | (Y – Ybar) | (X – Xbar) 2 | (Y – Ybar) 2 | (X – Xbar)(Y – Ybar) |
Deliverable: Word Document 