Chapter 1.4, Problem 12E

(a)

To determine

The liner and cubic model by the use of regression capabilities of graphing utility of the data,

Where t be the time in the year with $t=4$ represent the year 1994.

(b)

To determine

To graph: The linear model $N=1.8946t+46.799$ and cubic model $N=0.0485t^3-2.015t^2+26.996t-42.323$ and plot the data.

(c)

To determine

Whether the cubic model $N=0.0485t^3-2.015t^2+26.996t-42.323$ or the linear model $N=1.8946t+46.799$ is better model to define the given data,

(d)

To determine

The quadratic model by the use of regression capabilities of graphing utility of the data,

Also, graph the quadratic model and find how well the model fits the data.

(e)

To determine

The number of people receiving care in HMOs in the year 2014 by the use of linear model $N=1.8946t+46.799$ and the cubic model $N=0.0485t^3-2.015t^2+26.996t-42.323$ where t be the time in the year with $t=4$ represent the year 1994.

(f)

To determine

The quartic model by the use of regression capabilities of graphing utility of the data,

Also, find which model fits the data well.