The stock market showed steady and significant growth during the period from 1981 to 2000. This growth was reflected in the Dow Jones Industrial Average. The table gives the Dow Jones average (rounded to the nearest whole number) for the opening of the stock market in January for the years 1981 to 2000.

Years after 1981, x                         Dow Jones Industrial Average, y

0…………………………………..     947

1…………………………………..     871

2…………………………………..    1,076

3…………………………………..    1,221

4…………………………………..    1,287

5…………………………………..    1,571

6…………………………………..    2,158

7…………………………………..    1,958

8…………………………………..    2,342

9…………………………………..    2,591

10…………………………………    2,736

11…………………………………    3,223

12…………………………………    3,310

13…………………………………    3,978

14…………………………………    3,844

15…………………………………    5,395

16…………………………………    6,813

17…………………………………    7,907

18…………………………………    9,359

19………………………………… 10,941

Use the fact that  ln y_i = 158.58560 and  ln y_i = 1591.99387 to fit the data with an exponential model.

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