Question

Which phrase best describes the association between variables X and Y?

Answer 1

Answer:

"moderate positive association"

Step-by-step explanation:

Variable X is given in the x-axis and Variable Y is given in the y-axis

We say both variables have "positive" correlation when one increases and the other increases as well (and vice versa).

We say both variables have "negative" correlation when one increases and the other decreases (and vice versa).

When we move towards right in the x-direction, if y values (points) increase as well, so that is positive correlation.

Now, Looking at the graph, as we move right, we see that the points (mostly) increase in y-axis as well, so definitely there is POSITIVE CORRELATION.

But are they perfect or moderate??

A perfect correlation would be a line with slope very close to 1 or 1. X values would match y values. There is a moderate positive correlation when the slope would be a little less (maybe less than 0.8).

Looking again at the graph, we certainly can say that the points are not PERFECTLY POSITIVELY CORRELATED, so that would be a "moderate positive association/correlation".

The last answer choice is right.