Question

finding the strength of a correlation
over five different weeks, irina tracked the hours she spent exercising and the hours she spent playing video games. what is the strength of the correlation between the hours spent exercising and the hours spent playing video games?
weak negative correlation
moderate negative correlation
weak positive correlation
moderate positive correlation

Explanation:

Step1: Analyze the trend

As the hours spent exercising (2,4,3,4,5) do not show a clear increasing or decreasing pattern with a consistent relation to the hours spent playing video games (16,7,5,15,8). But generally, when we look at some pairs: when exercising hours increase (from 2 to 4), video - game hours decrease (from 16 to 7), when exercising hours increase from 3 to 4, video - game hours increase from 5 to 15 (an inconsistent change). However, if we consider the overall tendency (more exercise hours do not lead to a very clear and strong change in video - game hours), and the fact that the change is not very regular.

Step2: Determine the type of correlation

Since the relation is not very strong (inconsistent in some cases) and there is a bit of a tendency where more exercise might correspond to less video - game time (but not very strictly), it is a weak negative correlation.

Answer:

weak negative correlation