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Regression analysis for mutual fund data

Linear regression analysis; construct confidence intervals for regression parameters; correlation coefficient .

We can use two products at my work, which are mutual funds and see if there is a correlation between the two. The two different funds are: a domestic stock mutual fund, which only invests in large organizations (large cap companies) based here in the US and an international mutual fund, which only invests in large foreign-based companies. We can see the relationships between them and the magnitude of those relationships.

Date: USIFX Monthly 2006 USSPX Monthly 2006
Close Close
Dec 1 27 21.24
Nov 1 28.91 21.05
Oct 2 28.1 20.66
Sept 1 27.54 20.01
Aug 1 27.49 19.59
Jul 3 26.57 19.14
Jun 1 26.01 19.03
May 1 25.84 19.09
Apr 3 26.79 19.65
Mar 1 25.63 19.40
Feb 1 24.90 19.24
Jan 3 24.95 19.19

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Solution Preview

Please see the attachments. Calculations are done in Excel.

The relationship between the two mutual funds can be illustrated in a scatter diagram

The scatter diagram suggests that there is a positive correlation between the two variables. The degree of relationship is measured by the correlation coefficient

Correlation = 0.753011296

Regression Analysis
The regression ...

Solution Summary

The solution contains calculation of regression equation, coefficient of determination, confidence interval for regression coefficients and regression coefficients. Interpretation of the results are also given.