Under the Least Squares Assumptions for the Multiple Regression Problem $X _ { i } \text { and } Y _ { i }$

question 20

Multiple Choice

Under the least squares assumptions for the multiple regression problem (zero conditional mean for the error term, all $X _ { i } \text { and } Y _ { i }$ being i.i.d., all $X _ { i } \text { and } u _ { i }$ having finite fourth moments, no perfect multicollinearity) , the OLS estimators for the slopes and intercept

• A) have an exact normal distribution for n>25 .
• B) are BLUE.
• C) have a normal distribution in small samples as long as the errors are homoskedastic.
• D) are unbiased and consistent.

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Pertains to genes and the hereditary material passed from parents to offspring, influencing traits and characteristics.

Fertilized Ovum

A cell that results from the fertilization of an ovum (egg) by a sperm, marking the beginning of a human life.

Genetic Material

The molecules (mainly DNA or RNA) within cells that carry the genetic instructions for the development, functioning, growth, and reproduction of all known organisms.

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The initial cell formed when a sperm cell fertilizes an egg cell, containing the genetic information necessary for the development of a new organism.