Compute the correlation coefficient by hand you may use


Compute the correlation coefficient "by hand". You may use excel to do the hand computations. In other words you may use excel to sum up the column compute the squares of each column, etc. You may hand write this and upload an image of your handwritten work. Answer any question in a word document. Mutual fund performance. Many mutual fund compare their performance with that of a benchmark an index of the returns on all securities of the kind that the fund buys. The Vanguard International Growth Fund for example, takes as it benchmark the Morgan Stanley stock market performance. Here are the percent returns for the fund and for the EAFE from 1982 (the first full year of the fund's existence) to 2000

Year

Fund

EAFE

Year

Fund

EAFE

1982

5.27

-0.86

1992

-5.79

-11.85

1983

43.08

24.61

1993

44.74

32.94

1984

-1.02

7.86

1994

0.76

8.06

1985

56.94

56.72

1995

14.89

11.55

1986

56.71

69.74

1996

14.65

6.36

1987

12.48

24.93

1997

4.12

2.06

1988

11.61

28.59

1998

16.93

20.33

1989

24.76

10.80

1999

26.34

27.30

1990

-12.05

-23.20

2000

-8.60

13.96

1991

4.74

12.50

 

 

 

Make a scatterplot suitable for predicting fund returns from EAFE returns. Is there a clear straight line pattern? How strong is this pattern? (Give a numerical measure.) Are there any extreme outliers from the straight line pattern?

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Mathematics: Compute the correlation coefficient by hand you may use
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