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 |