In: Statistics and Probability
A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 25 months are given.
Please see attached Excel for data.
Approximately what percentage of the variation in indirect labor
expenses is explained by the regression model you derived?
Place your answer, rounded to 2 decimal places, in the blank. Do
not use any stray punctuation marks or a percentage sign. For
example, 78.91 would be a legitimate entry. %
DLH(X) | ILE(Y) |
20 | 361 |
25 | 355 |
22 | 376 |
23 | 384 |
20 | 374 |
19 | 311 |
24 | 427.2 |
28 | 387.5 |
26 | 450.8 |
29 | 475.2 |
27 | 462.6 |
22 | 333.3 |
26 | 389.9 |
25 | 445 |
28 | 511 |
32 | 501.1 |
33 | 544.9 |
35 | 423.8 |
34 | 574.1 |
30 | 535.4 |
36 | 444.7 |
37 | 578.4 |
37 | 399.6 |
31 | 355 |
20 | 313 |
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Answer is 45.29
Approximately 45.29 percentage of the variation in indirect labor expenses is explained by the regression model you derived
Coefficient of determination (r^2) = square of Correlation coefficient
Coefficient of determination will tells you how much variation can be explained by the fitted model.