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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

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.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman