Develop a model for estimating the average or expected average cost of benefits based on the number of employees a company has.

In this dataset you will find data on small to mid sized local business and they’re health care costs . There are two variables, the first is the number of employees that a company has. This number ranges from a single employee up to about 100 employees. The second variable represents the average cost in benefits associated with employees.
You’ll notice if you scatter plot, benefits for a small number of employees is quite
high
You are tasked with the following:
1. Develop a model for estimating the average or expected average cost of benefits based on the number of employees a company has. If you develop a parametric model, please provide the model. If you develop a non parametric model, please graphically represent your model overlaid on top of a scatterplot of the data. In either case please document how you arrived at your final model.
2. Create a 95% confidence interval for E. That is, compute a 95% confidence interval for the average cost of benefits per employee for all companies that have 55 employees.
3. Create a 95% prediction interval for E.
4. Add your results from part 2 and 3 to your scatterplot