The Russell 1000 is a stock market index consisting of the largest U.S. companies. The Dow...

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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.

 
YearDJIA % ReturnRussell 1000 % Return
19888.8212.33
198926.5926.44
1990-3.68-4.57
199116.0428.88
19925.381.66
199318.587.69
19946.291.76
199530.6237.10
199621.4917.49
199719.0428.68
199812.8329.46
199929.1515.89
2000-3.01-6.42
2001-9.85-13.16
2002-15.56-25.79
200327.7829.69
20047.7110.82
2005-4.848.73
200613.3413.72
20078.127.04
2008-31.04-42.92
200920.7222.47
20108.769.59
20112.80-3.13
20128.4011.02

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 meanstandard 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 meanstandard 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.

Answer & Explanation Solved by verified expert
4.5 Ratings (953 Votes)
Given that the Russell 1000 is a stock market index consistingof the largest US companies and that the Dow Jones industrialAverage is based on 30 large companiesGiven is a data on the annual percentage returns for each ofthese stock indexes for 25 yearsBefore we go on to solve the problems let us know a bit aboutscatter plotsample mean sample standard deviation samplecorrelation coefficientScatterPlotScatter plot is a very important type of plot which we usuallyuse for bivariate type of data Scatter plot gives a fairly goodidea about the relation between the two variablesSampleMeanThe sample mean is given by x which the sum of the observationsdivided by the    See Answer
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