Annual estimates of the population in a certain city from 1999 (t = 1) onward are shown in the time series graph below. a. Identify the dominant time series component(s) in the data.
b. Below are the results from fitting a linear trend model to the data. Use this model to estimate the population in this city for 2008 (t = 10). c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the population in this city for 2008 (t = 10). d. The actual population estimate for 2008 is 62,828. Which model does better? Why?

Question

Annual estimates of the population in a certain city from 1999 (t = 1) onward are shown in the time series graph below.  a. Identify the dominant time series component(s) in the data.
b. Below are the results from fitting a linear trend model to the data. Use this model to estimate the population in this city for 2008 (t = 10).  c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the population in this city for 2008 (t = 10).  d. The actual population estimate for 2008 is 62,828. Which model does better? Why?

Quizplus · Accepted Answer

The Answer of Annual estimates of the population in a certain city from 1999 (t = 1) onward are shown in the time series graph below.  a. Identify the dominant time series component(s) in the data.
b. Below are the results from fitting a linear trend model to the data. Use this model to estimate the population in this city for 2008 (t = 10).  c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the population in this city for 2008 (t = 10).  d. The actual population estimate for 2008 is 62,828. Which model does better? Why?

Annual Estimates of the Population in a Certain City from 1999