How much should a healthy Shetland pony weigh? Letxbe the age of the pony (in months), and letybe the average weight of the pony (in kilograms).

x	3	6	12	14	22
y	60	95	140	156	177

(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 of1 MB.)

WK2 Question 13.xlsx

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(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(x) =57,(x²) =869,(y) =628,(y²) =87,890,and(x y) =8,508. Computer. (Enter a number. Round your answer to three decimal places.) Asxincreases from 3 to22months, does the value ofrimply thatyshould tend to increase or decrease? Explain your answer. Given our value ofr,yshould tend to decrease asxincreases.Given our value ofr,yshould tend to increase asxincreases. Given our value ofr,yshould tend to remain constant asxincreases.Given our value ofr, we can not draw any conclusions for the behavior ofyasxincreases.