Answer
Negative correlation
Work Step by Step
We are given the type of correlation between $x$ and $y$ and between $y$ and $z$ and we have to determine the type of relation between $x$ and $z$.
Because $x$ and $y$ have a positive correlation, it means that when $x$ increases, $y$ also increases. Because $y$ and $z$ have a negative correlation, it means that when $y$ increases, $z$ decreases. We conclude that when $x$ increases, $z$ decreases, so $x$ and $z$ have a $\textbf{negative correlation}$.
