Question

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 17 26

y 60 95 140 166 187

(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.)

(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) = 64, Σ(x2) = 1154, Σ(y) = 648, Σ(y2) = 94,750, and Σ(x y) = 10,114.

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

(d) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.

Given our value of r, y should tend to remain constant as x increases.

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.

Answer 1

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