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Q1) We are studying mutual funds for purpose of investing in several funds. For this particular study, we want to focus on assets of fund and its 5-years performance.
Question is: Can five-year rate of return be evaluated based on assets of fund? Nine funds were selected at random, and their assets and rates of return are shown below.
Fund
Assets ($ Million)
Return(%)
AARP High quality bond
622.2
10.8
MFS Bond A
494.5
11.6
Babson Bond L
160.4
11.3
Nichols Income
158.3
9.5
Compass capital Fixed income
275.7
11.4
T. Rowe Price short-term
681.0
8.2
Galaxy Bond Retail
433.2
9.1
Thompson income B
241.3
6.8
Keystone Custodian B-1
437.9
9.2
i) Sketch a scatter diagram.
ii) Compute coefficient of correlation.
iii) Compute coefficient of determination.
iv) Write a brief report of your findings for parts b and c.
v) Determine regression equation. Use assets as independent variables.
vi) For fund with $400.0 million in sales, determineut five-year rate of return (in percent).
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