In the Regression Model $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$

question 15

Multiple Choice

In the regression model $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$ where X is a continuous variable and D is a binary variable, $\beta _ { 2 }$

• A) is the difference in means in Y between the two categories.
• B) indicates the difference in the intercepts of the two regressions.
• C) is usually positive.
• D) indicates the difference in the slopes of the two regressions.

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Definitions:

Synthetic Steps

The individual stages or reactions in the laboratory synthesis of chemical compounds.

Major Organic Product

The predominant product formed in greater quantity in an organic reaction, as opposed to any minor products.

Pyridinium Chlorochromate

A reagent used in organic chemistry for the oxidation of primary and secondary alcohols to aldehydes and ketones, respectively.

1-Octanol

An organic compound with the chemical formula C8H18O, characterized as a fatty alcohol with a pungent smell, used in the manufacture of perfumes and flavors.