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	14	26
y	60	95	140	162	173

(a) Make a scatter diagram of the data.

Then visualize the line you think best fits the data.

(b) Use a calculator to verify that Σx = 61, Σx² = 1061, Σy = 630, Σy² = 88,398, and Σxy = 9,196.

Compute r. (Round to 3 decimal places.)

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

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

B)Given our value of r, we can not draw any conclusions for the behavior of y as x increases.   

C) Given our value of r, y should tend to decrease as x increases.

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

Answer 1

a )

b)

r = 0.893

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