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Annual Estimates of the Population in the Age Group 65

Question 7

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Annual estimates of the population in the age group 65+ in a mid-sized city from 2005 (t = 1) onward are shown in the time series graph below. Annual estimates of the population in the age group 65+ in a mid-sized city from 2005 (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 65+ population in this city for 2014 (t = 10). Fitted Trend Equation , = 145,703 + 801t c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the 65+ population in this city for 2014 (t = 10). Fitted Trend Equation , = 148,187 - 554t + 135.5t2 d. The actual population estimate for 2014 is 157,218. Which model does better? Why? 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 65+ population in this city for 2014 (t = 10).
Fitted Trend Equation Annual estimates of the population in the age group 65+ in a mid-sized city from 2005 (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 65+ population in this city for 2014 (t = 10). Fitted Trend Equation , = 145,703 + 801t c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the 65+ population in this city for 2014 (t = 10). Fitted Trend Equation , = 148,187 - 554t + 135.5t2 d. The actual population estimate for 2014 is 157,218. Which model does better? Why? , = 145,703 + 801t
c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the 65+ population in this city for 2014 (t = 10).
Fitted Trend Equation Annual estimates of the population in the age group 65+ in a mid-sized city from 2005 (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 65+ population in this city for 2014 (t = 10). Fitted Trend Equation , = 145,703 + 801t c. Below are the results from fitting a quadratic trend model to the data. Use this model to estimate the 65+ population in this city for 2014 (t = 10). Fitted Trend Equation , = 148,187 - 554t + 135.5t2 d. The actual population estimate for 2014 is 157,218. Which model does better? Why? , = 148,187 - 554t + 135.5t2
d. The actual population estimate for 2014 is 157,218. Which model does better? Why?

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a. Trend component
b. 153,713
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