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). The following information is based on data taken from The Merck Veterinary Manual (a reference used in most veterinary colleges):

(a) Make a scatter diagram and draw the line you think best fits the data.
(b) Would you say the correlation is low, moderate, or strong? positive or negative?
(c) Use a calculator to verify that ˆ‘x = 63, ˆ‘x2 = 1089, ˆ‘y = 650, ˆ‘y2 = 95,350, and ˆ‘xy = 9930. Compute r. As x increases from 3 to 24 months, does the value of r imply that y should tend to increase or decrease? Explain.

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3 60 6 12 18 24 95 140 170 185