Question

How much should a healthy Shetland pony weigh? Let x be the age of the pony...

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 25
y 60 95 140 172 175

(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.)

quiz pony.xlsx

(b)

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

lowmoderate    strong


Would you say the correlation is positive or negative?

positivenegative    

(c)

Use a calculator to verify that Σ(x) = 61, Σ(x2) = 1039, Σ(y) = 642, Σ(y2) = 92,434, and Σ(x y) = 9,385.

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


As x increases from 3 to 25 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.

Homework Answers

Answer #1

a)

b) correlation is strong (since almost all the points appear to fall nearer to a line)

correlation is positive( since trend is upward)

c)

from above:

ΣX = 61.000
ΣY= 642.000
ΣX2 = 1039.000
ΣY2 = 92434.000
ΣXY = 9385.000
r = 0.904

Given our value of r, y should tend to increase as x increases

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