Suppose You Have the Following Regression Results from a Regression

Multiple Choice

Suppose you have the following regression results from a regression of home prices on house attributes for a random sample of house transactions: $$\begin{array} { | l | r | r | } \hline & \text { Coefficierts } & \text { Stardard Error } \\\hline \text { Iratercept } & 16310.0 & 4114.5 \\\hline \text { Nurrber of Bedroorrs } & 7295.3 & 1399 . \\\hline \text { Number of Bathroorrs } & 23473.0 & 4032.0 \\\hline\end{array}$$ Given these results which additional condition would be sufficient to ensure number of bathrooms satisfies the "primary criteria" for a good control variable in attempting to identify the causal effect of number of bedrooms on house prices?

A) The number of bathrooms is correlated with house prices.
B) The number of bedrooms is correlated with house prices.
C) The number of bathrooms is correlated with the number of bedrooms.
D) The p-value for the number of bedrooms.