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 21 y 60 95 140 172 173 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 60 to 173 and a vertical axis labeled "y (average weight (in kg))" with values from 3 to 21. The scatter diagram has 5 points. A pattern goes up and right from (60, 3) to (173, 21).   A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 3 to 21 and a vertical axis labeled "y (average weight (in kg))" with values from 60 to 173. The scatter diagram has 5 points. A pattern goes down and right from (3, 173) to (21, 60).   A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 3 to 21 and a vertical axis labeled "y (average weight (in kg))" with values from 60 to 173. The scatter diagram has 5 points. A pattern goes up and right becoming less steep from (3, 60) to (21, 173).   A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 60 to 173 and a vertical axis labeled "y (average weight (in kg))" with values from 3 to 21. The scatter diagram has 5 points. A pattern goes down and right from (60, 21) to (173, 3). (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         x = 57,          x2 = 855,          y = 640,          y2 = 91,738,  and         xy = 8,643. Compute r. (Round your answer to four decimal places.) As x increases from 3 to 21 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. 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 remain constant 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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
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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 21
y 60 95 140 172 173
(a) Make a scatter diagram of the data and visualize the line you think best fits the data.
A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 60 to 173 and a vertical axis labeled "y (average weight (in kg))" with values from 3 to 21. The scatter diagram has 5 points. A pattern goes up and right from (60, 3) to (173, 21).
 
A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 3 to 21 and a vertical axis labeled "y (average weight (in kg))" with values from 60 to 173. The scatter diagram has 5 points. A pattern goes down and right from (3, 173) to (21, 60).
 
A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 3 to 21 and a vertical axis labeled "y (average weight (in kg))" with values from 60 to 173. The scatter diagram has 5 points. A pattern goes up and right becoming less steep from (3, 60) to (21, 173).
 
A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 60 to 173 and a vertical axis labeled "y (average weight (in kg))" with values from 3 to 21. The scatter diagram has 5 points. A pattern goes down and right from (60, 21) to (173, 3).


(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 
   
 
 
x = 57,
 
   
 
 
x2 = 855,
 
   
 
 
y = 640,
 
   
 
 
y2 = 91,738,
 and 
   
 
 
xy = 8,643.


Compute r. (Round your answer to four decimal places.)


As x increases from 3 to 21 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.
Given our value of r, we can not draw any conclusions for the behavior of y as x increases.Given our value of ry should tend to remain constant as x increases.    Given our value of ry should tend to increase as x increases.Given our value of ry should tend to decrease as x increases.
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