Question

The following economic model predicts whether a voter will vote for an incumbent school board member:

NCUMBENT = $\beta$1 + $\beta$2MALE + $\beta$3PARTY + $\beta$4MARRIED + $\beta$5KIDS

where

INCUMBENT = 1if the voter votes for them, 0 otherwise,
MALE = 1 if the voter is a male,
PARTY indicates the voter is registered with the same political party as the incumbent,
MARRIED = 1 for married voters, 0 otherwise, and
KIDS is the number of school age kids living with the voter.

What is the probability that a married female without kids who is not registered with a political party will vote for the incumbent?

	a.  $\beta$1 + $\beta$4
	b.	$\beta$1
	c.	$\beta$1 + $\beta$2 + $\beta$3 + $\beta$5
	d.	$\beta$2 + $\beta$3 + $\beta$5

Answer 1

The answer is (a) $\beta_1 + \beta4$

Consider the equation, now according to the question the voter is female and married, this means that variable MALE is 0 and Married takes value 1.

Further the voter doesn't have kids (KIDS variable = 0) and is also not registered with political party (PARTY variable = 0).

Plugging these values back into the equation we are left with $\beta_1 + \beta4$ ..

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