Use the data in the table to answer the questions. The data represents per capita health care expenditure in dollars for a state.

Year: 1990 1991 1992 1993 1994

Per Capita Expenditure: 2608 2992 3112 3304 3542

Fit a linear model to this set of data where x is the number of years since 1990. Write the equation rounding to 1 decimal place, if necessary.

(a) (2 pts) Use the model to estimate the per capita expenditure in 1992. Round to the nearest whole dollar.

(b) (2 pts) Predict the per capita expenditure for the year 1999. Round to the nearest whole dollar.

The table below shows the amount of money, in billions of dollars, spent on pollution control in the U.S. for the years 1983 to 1986.

Year : 1983 , 1984 , 1985 , 1986 , 1987, 1988 , 1989

$ Spent : 61.8 , 68.9 , 74.6 , 78.7 , 81.5 , 86.1 , 91.3

(a) Fit a quadratic model to this set of data where x is the number of years since 1983. Write the equation rounding to 1 decimal place, if necessary.

(b) Fit a cubic model to this set of data where x is the number of years since 1983. Write the equation rounding to 1 decimal place, if necessary.

(c) Which model is a better fit for the data? Explain.