Question: An analyst performs a regression with monthly returns on a largecap mutual fund as the dependent variable and monthly returns on the market index as

An analyst performs a regression with monthly returns on a largecap mutual fund as the dependent variable and monthly returns on the market index as the independent variable. He uses monthly returns data over the last year (in %).

Regression Statistics
Multiple R 0.7589
Rsquared 0.576
Standard error 3.8921
Observations 12
Coefficient Standard Error
Intercept 0.254 1.2984
Slope coefficient 0.782 0.215
Statistic Market Index Return LargeCap Fund Return
Mean 2.45% 1.68%
Standard deviation 6.82% 7.21%
Count 12 12

Given a return on the market index of 8.25%, the 95% prediction interval for the expected mutual fund return is closest to:

Group of answer choices

3.0981% to 15.4931%

32.5850% to 44.98%

25.4295% to 32.64%

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