The “Economic Report to the President of the United States” included data on the amounts of manufacturers’ new and unfilled orders in millions of dollars. Shown here are the figures for new orders over a 21-year period. Use Excel to develop a regression model to fit the trend effects for these data. Use a linear model and then try a quadratic model. How well does either model fit the data?

Year Total Number of New Orders

1 ................. 55,022

2 ................. 55,921

3 ................. 64,182

4 ................. 76,003

5 ................. 87,327

6 ................. 85,139

7 ................. 99,513

8 .................115,109

9 .................131,629

10 ...............147,604

11 ...............156,359

12 ...............168,025

13 ...............162,140

14 ...............175,451

15 ...............192,879

16 ...............195,706

17 ...............195,204

18 ...............209,389

19 ...............227,025

20 ...............240,758

21 ...............243,643