We are studying mutual bonds for the purpose of investing in several funds. For this particular stud


Question: We are studying mutual bonds for the purpose of investing in several funds. For this particular study, we want to focus on the assets of a fund and its five-year performance. The question is: Can the five-year rate of return be estimated based on the assets of the fund? Nine mutual funds were selected at random, and their assets and rates of return are shown below:

Fund Assets ($ millions) Return (%)
AARP High Quality Bond $622.2 10.8
Babson Bond L 160.4 11.3
Compass Capital Fixed Income 275.7 11.4
Galaxy Bond Retail 433.2 9.1
Keystone Custodian B-1 437.9 9.2
MFS Bond A 494.5 11.6
Nichols Income 158.3 9.5
T. Rowe Price Short-Term 681.0 8.2
Thompson Income B 241.3 6.8

a. Compute the coefficient of correlation.

b. Compute the coefficient of determination.

c. Explain what the coefficient of correlation and determination are telling you within the context of the problem.

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