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ACTU PS5841 Data Science in Finance & Insurance – Autumn 2021 (Y. Wang) Assignment – 7

Assigned 11/09/21, Due 11/16/21 Tuesday

数据科学代写 Problem 1. Poisson RegressionThe file data.csv contains accident counts for 5 age groups, along with the corresponding exposure.

Problem 1. Poisson Regression     数据科学代写

The file data.csv contains accident counts for 5 age groups, along with the corresponding exposure. You decided to use a Poisson regression fit the data:

ln(E(Accidents_i)) = ln(personyearsi) + β₀ + β₁Agei

A.Fit the data using sklearn and report the following:

a1.[βˆ0, βˆ1]

a2. The corresponding log-likelihood value.

B.Fit the data using statsmodels and report the following:      数据科学代写

b1.[βˆ0, βˆ1]

b2. The corresponding log-likelihood value

b3. The corresponding pseudo R² when compared to the naive model

ln(E(Accidents_i)) = ln(personyearsi) + β₀

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