
Answer-first summary for fast verification
Answer: \[ R_{A,t} = -0.03333 + 2.2222 R_{NC,t} + \epsilon_t \]
The regression coefficients for a model specified by \[ Y = \hat{\alpha} + \hat{\beta} X + \varepsilon \], where \[ \varepsilon \] represents the error term, are obtained using the formula: \[ \hat{\beta} = \frac{\text{Cov}(X, Y)}{\text{Var}(X)} = \frac{0.05}{0.15^2} = 2.2222 \] \[ \hat{\alpha} = E(Y) - \hat{\beta} E(X) = 0.1 - 2.2222(0.06) = -0.03333 \] Therefore, the correct regression model is: \[ R_{A,t} = -0.03333 + 2.2222 R_{NC,t} + \epsilon_t \]
Author: Nikitesh Somanthe
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An analyst has attempted to get some insight into the relationship between the return on stock A (R_A,t) and the return on the Nasdaq Composite index (R_NC,t). The analyst gathers historical data and comes up with the following estimates:
The analyst formulates the following regression model using the data:
Using the ordinary least squares technique, which of the following models will the analyst obtain?
A
B
C
D