Question

If two variables are _ linearly correlated, one of the variables tend to decrease as the other increases.

Short answer

If two variables are negatively linearly correlated, one of the variables tend to decrease as the other increases.

Step-by-step solution

Step 1. Introduction

p(rho) is a statistical parameter for the entire population, determining whether the variables are linearly correlated or not.

Linear correlation means variables change at a constant rate, and their relationship is denoted by straight line curve.

Step 2. Explanation 

pindicates the magnitude of correlation in the variables' populations. It is between and .

If two variables are negatively correlated, pis between and $-1$

It means that the variables move in opposite direction, one variable Increase with other variable decrease and one variable decrease with other variable increase.

The smaller value $x$is related with the smaller values of $y$and the larger value of $x$is related with large value of $y$. If the variable $x$increased then variable $y$is also increased. As the other variables decreases as the first variable increases.

Thus, the appropriate word for the given blank is negatively.