The Dow Jones Industrial Average (DJIA) and the Standard & Poor's 500 (S&P 500) indexes are used as measures of overall movement in the stock market. The DJIA is based on the price movements of 30 large companies; the S&P 500 is an index composed of 500 stocks. Some say the S&P 500 is a better measure of stock market performance because it is broader based. The closing price for the DJIA and the S&P 500 for 15 weeks, beginning with January 6, 2012, follow (Barron's website, April 17, 2012). Date DJIA S&P 500
6-Jan 12360 1278
13-Jan 12422 1289
20-Jan 12740 1315
27-Jan 12660 1316
3-Feb 12862 1343
10-Feb 12801 1345
17-Feb 12960 1362
24-Feb 12983 1366
2-Mar 12978 1370
9-Mar 12922 1371
16-Mar 13233 1402
23-Mar 13081 1397
30-Mar 13212 1408
5-Apr 13050 1395
13-Apr 12860 1370

Use the data to develop an estimated regression equation showing how DJIA is related to S&P 500.
Let x represent the S&P 500 indexes. Estimate predicted DJIA for 20-Apr using the regression model.

Date DJIA S&P 500
20-Apr 12912 1365