7. In a study undertaken to model automobile accident rates for young adults, a Poisson (regression) GLM model is fitted with linear predictor of the form ε = αG + BGx, 260 GENERALIZED LINEAR MODELS where ag and BG are parameters for the factor gender and the vari- ate age (in years). ML estimates of these parameters are given by »F = −0.72, ÔM = −0.54, ®r = −0.06, Ôm = −0.05 where F and M represent females and males, respectively. (a) What is the predicted automobile accident rate for a 25-year-old male? (b) Express the ratio of accident rates for females over males as a function of age. What is the maximum value of this ratio in the [20, 35] age range?
7. In a study undertaken to model automobile accident rates for young adults, a Poisson (regression) GLM model is fitted with linear predictor of the form ε = αG + BGx, 260 GENERALIZED LINEAR MODELS where ag and BG are parameters for the factor gender and the vari- ate age (in years). ML estimates of these parameters are given by »F = −0.72, ÔM = −0.54, ®r = −0.06, Ôm = −0.05 where F and M represent females and males, respectively. (a) What is the predicted automobile accident rate for a 25-year-old male? (b) Express the ratio of accident rates for females over males as a function of age. What is the maximum value of this ratio in the [20, 35] age range?
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Transcribed Image Text:7. In a study undertaken to model automobile accident rates for young
adults, a Poisson (regression) GLM model is fitted with linear predictor
of the form
ε = αG + BGx,
260
GENERALIZED LINEAR MODELS
where ag and BG are parameters for the factor gender and the vari-
ate age (in years). ML estimates of these parameters are given by
»F = −0.72, ÔM = −0.54, ®r = −0.06, Ôm = −0.05 where F and M
represent females and males, respectively.
(a) What is the predicted automobile accident rate for a 25-year-old
male?
(b) Express the ratio of accident rates for females over males as a
function of age. What is the maximum value of this ratio in the
[20, 35] age range?
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![7. In a study undertaken to model automobile accident rates for young
adults, a Poisson (regression) GLM model is fitted with linear predictor
of the form
ε = αG + BGx,
260
GENERALIZED LINEAR MODELS
where ag and BG are parameters for the factor gender and the vari-
ate age (in years). ML estimates of these parameters are given by
»F = −0.72, ÔM = −0.54, ®r = −0.06, Ôm = −0.05 where F and M
represent females and males, respectively.
(a) What is the predicted automobile accident rate for a 25-year-old
male?
(b) Express the ratio of accident rates for females over males as a
function of age. What is the maximum value of this ratio in the
[20, 35] age range?](https://content.bartleby.com/qna-images/question/ba18de34-fc06-47a6-b1ea-c54726b84874/4ac16857-18ac-40b8-9469-ce4daf8cee09/meo7ssw_processed.png)
