How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 16 24
y 60 95 140 168 175
(a) Make a scatter diagram of the data and visualize the line you think best fits the data. (Submit a file with a maximum size of 1 MB.)

This answer has not been graded yet.

(b) Would you say the correlation is low, moderate, or strong?
low
moderate
strong

Would you say the correlation is positive or negative?
positive
negative

(c) Use a calculator to verify that Σ(x) = 61, Σ(x2) = 1021, Σ(y) = 638, Σ(y2) = 91,074, and Σ(x y) = 9,318.

Compute r. (Enter a number. Round your answer to three decimal places.)

As x increases from 3 to 24 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.
Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
Given our value of r, y should tend to increase as x increases.
Given our value of r, y should tend to decrease as x increases.
Given our value of r, y should tend to remain constant as x increases.