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	15	23
y	60	95	140	150	181

(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 = 59, Σx² = 943, Σy = 626, Σy² = 87,486, and Σxy = 8,843.

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.

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

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

Answer 1

a)

By using excel we can solve this question easily.

We have to find a scatter plot

-First, enter all data into excel

Select all data ----------> Click on Insert --------> Scatter ------->Click on first graph

We get

b)

All values are correct.

We have to find the value of r.

Formula is

n = 5

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