The Quantity $\varepsilon$ In the Simple Linear Regression Model $Y = \beta _ { 0 } + \beta _ { 1 } x + \varepsilon$

question 12

Multiple Choice

The quantity $\varepsilon$
in the simple linear regression model $Y = \beta _ { 0 } + \beta _ { 1 } x + \varepsilon$ is a random variable, assumed to be normally distributed with $E ( \varepsilon ) = 0 \text { and } V ( \varepsilon ) = \sigma ^ { 2 }$ The estimated standard deviation $\hat { \sigma }$ is given by

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