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Youareaninvestmentanalyst,andyourtaskistoassesstherelationshipbetween risk and yields for various investment funds. You have compileddataonreturnsand riskinessof30largeinvestmentfunds,using5-yearaveragesforreturns(afterfees)andrisk(measuredbystandarddeviationsofthereturns). InvestmentFund Return (5-year average) St.Dev (5-year average) 1 0.31% 5.93% 2 0.52% 4.97%

Youareaninvestmentanalyst,andyourtaskistoassesstherelationshipbetween risk and yields for various investment funds. You have compileddataonreturnsand riskinessof30largeinvestmentfunds,using5-yearaveragesforreturns(afterfees)andrisk(measuredbystandarddeviationsofthereturns).

InvestmentFund

Return (5-year

average)

St.Dev (5-year

average)

1

0.31%

5.93%

2

0.52%

4.97%

3

1.94%

3.13%

4

0.84%

3.22%

5

1.19%

5.78%

6

0.98%

8.29%

7

2.36%

11.82%

8

2.09%

11.06%

9

2.60%

12.05%

10

2.87%

11.23%

11

2.50%

12.69%

12

2.99%

15.67%

13

3.16%

12.81%

14

3.58%

17.34%

15

3.55%

17.72%

16

3.05%

16.41%

17

3.02%

18.69%

18

4.24%

18.95%

19

2.87%

21.29%

20

4.99%

17.14%

21

5.28%

21.29%

22

4.71%

23.33%

23

5.87%

24.42%

24

5.33%

23.98%

25

5.21%

26.29%

26

6.55%

23.86%

27

5.66%

23.33%

28

6.48%

25.33%

29

5.76%

25.76%

30

6.96%

28.10%

  1. Compute the leastsquaresregression equation,usingreturn as thedependentvariableandstandarddeviationastheindependentvariable.Interprettheresults.(LO1and4;5marks)

  1. Usethe95%confidenceleveltoshowwhereweshouldexpecttherelationshiptostandatthislevelofcertainty.(LO1and4;5marks)
  2. Which fund did the best compared with the expected (predicted)result?Which one did the worst?Use residuals of the regression in youranswer.(LO1and4;5 marks)

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