The scatter plot below shows the relationship between the length (x) in meters and mass f (x) in kg of a marine animal

(1,0) (2,10) (3,20) (4,30) (5,40) (6,50) (7,65) (8,70) (9,80) (10,90)

Which of the following fuction is best represented by the scatter plot?

F (x) = 9-10.3x

F (x) = - 10.3+9x

F (x) = - 9+10.3x

F (x) = 10.3-9x

F (x) = - 9 + 10.3x probably.

It's definitely not the first or last option as they have negative gradients (i. e. negative x-coefficient) and so represent a negative correlation. The data given tells us there is a positive gradient and so a positive correlation.

It could be the second option as the second and third are not so vastly different but I would go for the third because it appears to most closely fit the data pattern.