In the Case When the Errors Are Homoskedastic and Normally $\hat \beta$

question 1

Multiple Choice

In the case when the errors are homoskedastic and normally distributed, conditional on X, then

• A) \(\hat \beta\) is distributed N(?, \(\sum _ { \hat { \beta } \mid X }\) ),where \(\sum _ { \hat { \beta } \mid X }\) = \(\sigma _ { u } ^ { 2 }\) I_(k+1).
• B) \(\hat \beta\) is distributed N(?, \(\sum _ { \hat { \beta } }\) ), where \(\sum _ { \hat { \beta } }\) = \(\sum _ { \sqrt { n } \left( \hat { \boldsymbol { \beta } } _ { - } \boldsymbol { \beta } \right) }\) /n = \(Q _ { X } ^ { - 1 }\) \(\sum _ { V }\) \(Q _ { X } ^ { - 1 }\) /n.
• C) \(\hat \beta\) is distributed N(?, \(\sum _ { \hat { \beta } \mid X }\) ),where \(\sum _ { \hat { \beta } \mid X }\) = \(\sigma _ { u } ^ { 2 }\) ( \(X ^ { \prime }\) X)^-1.
• D) \(\hat { u }\) = P_XY where P_X = X( \(X ^ { \prime }\) X)^-1 \(X ^ { \prime }\)

Identify and understand the basic concepts of human development beginning from a single cell.

Recognize the various factors that can cause mutations and their effects on human genetics.

Describe the process and significance of cell division and the role of chromosomes in heredity.

Understand the genetic basis and characteristics of different types of twins.

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