50. The Dow Jones Industrial Average (DJIA) and the Standard & Poor's 500 Index (S&P 500) are both used to measure the performance of the stock market. The DJIA is based on the price of stocks for 30 large companies; the S&P 500 is based on the price of stocks for 500 companies. If both the DJIA and S&P 500 measure the performance of the stock market, how are they correlated? The following data show the daily percent increase or daily percent decrease in the DJIA and S&P 500 for a sample of nine days over a three-month period (The Wall Street Journal, January 15 to March 10, 2006). -.25 -.24 -.33 DJIA .20 .82 -99 .04 1.01 .30 .55 S&P 500 .24 .19 -.91 .08 .87 .36 .83 -.16 a. Show a scatter diagram. b. Compute the sample correlation coefficient for these data. c. Discuss the association between the DJIA and S&P 500. Do you need to check both before having a general idea about the daily stock market performance?

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50. The Dow Jones Industrial Average (DJIA) and the Standard & Poor's 500 Index (S&P 500)
are both used to measure the performance of the stock market. The DJIA is based on the
price of stocks for 30 large companies; the S&P 500 is based on the price of stocks for 500
companies. If both the DJIA and S&P 500 measure the performance of the stock market,
how are they correlated? The following data show the daily percent increase or daily
percent decrease in the DJIA and S&P 500 for a sample of nine days over a three-month
period (The Wall Street Journal, January 15 to March 10, 2006).
-.99
-.24
30
.55
-.25
DJIA
S&P 500
.20
.24
.82
.19
1.01
.87
.04
-91
.08
-.33
.36
.83
-.16
a. Show a scatter diagram.
b. Compute the sample correlation coefficient for these data.
Discuss the association between the DJIA and S&P 500. Do you need to check both
before having a general idea about the daily stock market performance?
с.
Transcribed Image Text:50. The Dow Jones Industrial Average (DJIA) and the Standard & Poor's 500 Index (S&P 500) are both used to measure the performance of the stock market. The DJIA is based on the price of stocks for 30 large companies; the S&P 500 is based on the price of stocks for 500 companies. If both the DJIA and S&P 500 measure the performance of the stock market, how are they correlated? The following data show the daily percent increase or daily percent decrease in the DJIA and S&P 500 for a sample of nine days over a three-month period (The Wall Street Journal, January 15 to March 10, 2006). -.99 -.24 30 .55 -.25 DJIA S&P 500 .20 .24 .82 .19 1.01 .87 .04 -91 .08 -.33 .36 .83 -.16 a. Show a scatter diagram. b. Compute the sample correlation coefficient for these data. Discuss the association between the DJIA and S&P 500. Do you need to check both before having a general idea about the daily stock market performance? с.
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