In: Statistics and Probability
U.S. Civilian Labor Force (thousands) | ||||
Year | Labor Force | Year | Labor Force | |
2007 | 153,918 | 2012 | 155,628 | |
2008 | 154,655 | 2013 | 155,151 | |
2009 | 153,111 | 2014 | 156,238 | |
2010 | 153,650 | 2015 | 157,957 | |
2011 | 153,995 | 2016 | 159,640 |
(c) Fit three trend models: linear, exponential, and quadratic. Which model would offer the most believable forecasts? (You may select more than one answer.)
(d) Make forecasts using the following fitted trend models
for years 2017-2019. (Round your answers to the nearest
whole number.)
t | Linear | Quadratic | Exponential |
11 | |||
12 | |||
13 |
From the above three models, the linear and exponential have similar R-Sq values whereas the Quadratic model has the highest R-Sq with one and two more parameters from the linear and Quadratic models respectively. Here, the increase in R-Sq value in quadratic is enough from other models to say that the quadratic model is offer the most believable forecasts.
d)
t | Linear | Quadratic | Exponential |
11 | 158607 | 161307 | 158648 |
12 | 159191 | 163362 | 159249 |
13 | 159775 | 165661 | 159851 |