The number of small businesses in a certain region defaulting on loans was observed for each month over a 4-year period. In the R program below, the variable y is the number of defaults in a month and...

The number of small businesses in a certain region defaulting on loans was observed for each month over a 4-year period. In the R program below, the variable y is the number of defaults in a month and x is the value for that month of an economic variable thought to affect the default rate. The function dpois computes the Poisson density.

(a) Describe the statistical model being used here.

 (b) What are the parameter estimates?

 (c) Find 95 % confidence intervals for the parameters in the model. Use a normal approximation