3) This is definitely a positive association, but the question is - is it linear?
Since a somewhat straight line can be drawn through the points, it is linear.
Answer: positive linear association
4) Find the slope using the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
m = 43 - 48/ 4 - 2 = -5/2 = -2.5
Negative association, but is it linear? Lets find out
Oh no! It seems that their is not a pattern in the association, so its nonlinear!
Answer: Negative nonlinear association
5) [tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
m = 80 - 66/ 5 - 3
m = 14/2
m = 7
Positive! But is it linear??
Let us draw a graph this time.
I know my graph is messy, but can you see the nonlinear-ness? It doesnt form a straight line!
Answer: Positive nonlinear association
Hope this helped. :)