Compute the correlation coefficient. (Negative value should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.)
| Number of Assemblers |
One-Hour Production (units) |
|||||
| 2 | 11 | |||||
| 4 | 18 | |||||
| 1 | 5 | |||||
| 5 | 23 | |||||
| 3 | 18 | |||||
The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.
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Draw a
scatter diagram .
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On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1).
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Repeat the process for the remainder of the sample (No of Assemblers2, No of Assemblers3, … ).
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To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y.
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Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production?
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Compute the
correlation coefficient . (Negative value should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.)
| x | y |
(x−x⎯⎯)x-x¯
|
(y−y⎯⎯)y-y¯
|
(x−x⎯⎯)2x-x¯2
|
(y−y⎯⎯)2y-y¯2
|
(x−x⎯⎯) (y−y⎯⎯)x-x¯ y-y¯
|
||||||||||||||||||||
| 2 | 11 |
|
-4 |
|
16 |
|
||||||||||||||||||||
| 4 | 18 | 1 |
|
1 |
|
3 | ||||||||||||||||||||
| 1 | 5 |
|
-10 |
|
100 |
|
||||||||||||||||||||
| 5 | 23 | 2 |
|
4 |
|
16 | ||||||||||||||||||||
| 3 | 18 |
|
3 | 0 |
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0 | ||||||||||||||||||||
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|
|
|
|
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x⎯⎯x¯
|
= |
|
y⎯⎯y¯
|
= |
|
Sx | = |
|
| Sy | = |
|
r | = |
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