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Basic Question 4 of 7

Suppose you want to know whether Fidelity Select Technology Fund (FSTF) behaves more like a large-cap growth fund or a large-cap value fund. You want to estimate the regression Y-hatt = b0 + b1 X1t + b2 X2t + et, where Y-hatt is the monthly return to the FSTF, X1t is the monthly return to the S&P 500 Growth Index, and X2t is the monthly return to the S&P 500 Value index. The table below shows the results of a multiple linear regression using monthly data from December 1994 through March 2009.

Determine whether both the monthly return to the growth index and the monthly return to the value index jointly are statistically related to the monthly return to the FSTF at the 5% level of significance.
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User Contributed Comments 5

User Comment
hrai123 F statistic= MS regression/MS residual
katybo F 0,05 (2,169) = 3 < 143,75
MasterD Confirmed:
Excel F Critical is:
FINV(0.05,2,169) = 3.0494
Table Lookup F(0.05,2,infinity) = 3.00

Also, if you used the rounded values of
0.3132 / .0022 = 143.3636

3.0494 < 143.3636 thus we can reject the null hypothesis
ericczhang MSR and MSE are already reported right besides the 'Sum of Squares' column so you could just use those directly.
sahilb7 @ericczhang Exactly. The solution is given here is more complicated.
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I used your notes and passed ... highly recommended!
Lauren

Lauren

Learning Outcome Statements

formulate hypotheses on the significance of two or more coefficients in a multiple regression model and interpret the results of the joint hypothesis tests;

CFA® 2025 Level II Curriculum, Volume 1, Module 2.