A market researcher estimates a regression model to determine the factors that influence a consumer's decision to buy Coke instead of Pepsi. The regression equation estimated is:

$Y=0\mathrm{.}1+0\mathrm{.}02x_1-0\mathrm{.}015x_2-0\mathrm{.}04x_3$

where

$Y=1$ if the person bought Coke, and $Y=0$ if they bought Pepsi.

$x1=1$ if there is an advertising display for Coke, and $=0$ if there is none.

$x2=1$ if there is an advertising display for Pepsi, and $=0$ if there is none.

$x3=$ the price ratio of Coke to Pepsi constructed as $\frac{P_{\text{c}\text{o}\text{k}\text{e}}}{P_{\text{p}\text{e}\text{p}\text{s}\text{i}\text{.}}}.$

Which of the following is true?

Having a Pepsi display decreases sales of Coke sold by $0\mathrm{.}03$ cans, ceteris paribus.

The predicted probability that someone buys Coke may be negative.

The predicted probability that someone buys Coke is not constant and has an Sshape.

None are correct.

Having a Coke display in the store increases the quantity of Coke sold by $0\mathrm{.}02$ cans relative to stores with no Coke display, ceteris paribus.