Chapter P.4, Problem 12E

(a)

To determine

The liner and cubic model by the use of regression capabilities of graphing utility for the data refer to the diagram provided in the question. where, t be the time in the years 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 defined the given data in the figure provided in the question.

(d)

To determine

The quadratic model by the use of regression capabilities of graphing utility of the data refer to the diagram provided in the question. 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 years 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 refer to the diagram provided in the question. Also, find which model fits the data well.