Question
Given data in Table 6.6 (attached), the response variable Y is the number of injury incidents, and the predictor variable N is the proportion of
Given data in Table 6.6 (attached), the response variable Y is the number of injury incidents, and the predictor variable N is the proportion of flights.
1) First regress Y on N, plot residuals against the fitted values Y . Conclude if error is heteroscedastic, i.e., the "E" assumption is violated.
2) Use data transformation on the response variable, i.e., regress Y on N. The rationale behind this transformation is that the occurrence of accidents, Y , tends to follow the Poisson probability distribution, and the variance of Y is approximately equal to 0.25, see Table 6.5.
What is the regression line equation?
Plot residuals against the fitted values, and conclude if there is still evidence of heteroscedasticity.
table 6.6
Y | N |
11 | 0.095 |
7 | 0.192 |
7 | 0.075 |
19 | 0.2078 |
9 | 0.1382 |
4 | 0.054 |
3 | 0.1292 |
1 | 0.0503 |
3 | 0.0629 |
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