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The Russell 1000 is a stock market index consisting of the largest U.S. companies. The Dow Jones industrial Average is based on 30 large companies. The DATAfile Russell gives the annual percentage returns for each of these stock indexes for the years 1988 to 2012 (1stock1 website). a. Plot these percentage returns using a scatter plot. b. Compute the sample mean and standard deviation for each index. c. Compute the sample correlation. d. Discuss similarities and differences in these two indexes.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter
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BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 3.5, Problem 60E
Textbook Problem
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The Russell 1000 is a stock market index consisting of the largest U.S. companies. The Dow Jones industrial Average is based on 30 large companies. The DATAfile Russell gives the annual percentage returns for each of these stock indexes for the years 1988 to 2012 (1stock1 website).

  1. a. Plot these percentage returns using a scatter plot.
  2. b. Compute the sample mean and standard deviation for each index.
  3. c. Compute the sample correlation.
  4. d. Discuss similarities and differences in these two indexes.

a.

To determine

Draw a scatter diagram for plotting the percentage returns.

Explanation of Solution

Calculation:

The given information is that the data represents the annual percentage returns for each of these stock indexes for the years 1,988 to 2012.

Scatter diagram:

Software Procedure:

Step-by-step procedure to draw the box plot using the MINITAB software:

  • Choose Graph > Scatter diagram...

b.

To determine

Find the sample mean and standard deviation for each index.

c.

To determine

Find the sample correlation.

d.

To determine

Explain the similarities and differences between the two indexes.

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