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, 15, 23

Y: 60, 95, 140, 164, 177

(a) Make a scatter diagram of the data and visualize the line you think best fits the data.

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

(c) Use a calculator to verify that (x) = 59, (x²) = 943, (y) = 636, (y²) = 90,450, and (x y) = 8,961.

As x increases from 3 to 23 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.