The Russell 1000 is a stock market index consisting of thelargest U.S. companies. The Dow Jones industrial Average is basedon 30 large companies. The data giving the annual percentagereturns for each of these stock indexes for 25 years are containedin the Excel Online file below. Construct a spreadsheet to answerthe following questions.
Year | DJIA % Return | Russell 1000 % Return |
1988 | 8.82 | 12.33 |
1989 | 26.59 | 26.44 |
1990 | -3.68 | -4.57 |
1991 | 16.04 | 28.88 |
1992 | 5.38 | 1.66 |
1993 | 18.58 | 7.69 |
1994 | 6.29 | 1.76 |
1995 | 30.62 | 37.10 |
1996 | 21.49 | 17.49 |
1997 | 19.04 | 28.68 |
1998 | 12.83 | 29.46 |
1999 | 29.15 | 15.89 |
2000 | -3.01 | -6.42 |
2001 | -9.85 | -13.16 |
2002 | -15.56 | -25.79 |
2003 | 27.78 | 29.69 |
2004 | 7.71 | 10.82 |
2005 | -4.84 | 8.73 |
2006 | 13.34 | 13.72 |
2007 | 8.12 | 7.04 |
2008 | -31.04 | -42.92 |
2009 | 20.72 | 22.47 |
2010 | 8.76 | 9.59 |
2011 | 2.80 | -3.13 |
2012 | 8.40 | 11.02 |
a. Which of the following scatter diagramsaccurately represents the data set?
#1 | Russell 1000 DJIA | #2 | Russell 1000 DJIA |
#3 | Russell 1000 DJIA | #4 | Russell 1000 DJIA |
_________Scatter diagram #1Scatter diagram #2Scatter diagram#3Scatter diagram #4
b. Compute the sample mean and standarddeviation for each index (to 2 decimals).
| sample mean | standard deviation |
DJIA: | | |
Russell 1000: | | |
c. Compute the sample correlation coefficientfor these data (to 3 decimals).
d. Discuss similarities and differences inthese two indexes.
_________There is a strong positive linear association betweenDJIA and Russell 1000There is a moderate positive linearassociation between DJIA and Russell 1000There is neither apositive nor a negative linear association between DJIA and Russell1000There is a moderate negative linear association between DJIAand Russell 1000There is a strong negative linear associationbetween DJIA and Russell 1000
The variance of the Russell 1000 is slightly_________largersmaller than that of the DJIA.
a. Which of the following scatter diagramsaccurately represents the data set?
#1 | Russell 1000 DJIA | #2 | Russell 1000 DJIA |
#3 | Russell 1000 DJIA | #4 | Russell 1000 DJIA |
_________Scatter diagram #1Scatter diagram #2Scatter diagram#3Scatter diagram #4
b. Compute the sample mean and standarddeviation for each index (to 2 decimals).
| sample mean | standard deviation |
DJIA: | | |
Russell 1000: | | |
c. Compute the sample correlation coefficientfor these data (to 3 decimals).
d. Discuss similarities and differences inthese two indexes.
_________There is a strong positive linear association betweenDJIA and Russell 1000There is a moderate positive linearassociation between DJIA and Russell 1000There is neither apositive nor a negative linear association between DJIA and Russell1000There is a moderate negative linear association between DJIAand Russell 1000There is a strong negative linear associationbetween DJIA and Russell 1000
The variance of the Russell 1000 is slightly_________largersmaller than that of the DJIA.