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). 12 16 170 24 Y60 95 140 181 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 25 180. 160 20 ミ140) 15 E 120 100 10 > 80 60 E 10 15 20 60 80 100 120 140 160 180 x (age (in months)) X (age (in months)) 25 180 20 o 160 140 15 120 10 E 100 > 80 60 Le 60 80 100 120 140 160 180 5. 10 15 20 X (age (in months)) X (age (in months)) y (average weight (in kg)) y (average weight (in kg)) y (average weight (in kg) y (average weight (in kg)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
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).
3.
12
16
24
60
95
140
170
181
n USE SALT
(a) Make a scatter diagram of the data and visualize the line you think best fits the data.
25
180
160
140
15
120
100
10
80
5
60
10
15
60
80
100
120
140
160
180
x (age (in months))
x (age (in months))
25
180
160
140
15
120
100
80
60
60
80
100
120
140
160
180
10
15
x (age (in months))
X (age (in months))
20
20
y (average weight (in kg))
y (average weight (in kg))
20
20
10
5.
y (average weight (in kg))
y (average weight (in kg))
Transcribed Image Text: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). 3. 12 16 24 60 95 140 170 181 n USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 25 180 160 140 15 120 100 10 80 5 60 10 15 60 80 100 120 140 160 180 x (age (in months)) x (age (in months)) 25 180 160 140 15 120 100 80 60 60 80 100 120 140 160 180 10 15 x (age (in months)) X (age (in months)) 20 20 y (average weight (in kg)) y (average weight (in kg)) 20 20 10 5. y (average weight (in kg)) y (average weight (in kg))
(b) Would you say the correlation is low, moderate, or strong?
low
O moderate
O strong
Would you say the correlation is positive or negative?
O positive
O negative
(c) Use a calculator to verify that `x = 61, x² = 1021, y = 646, y = 93,886, and xy = 9,494.
%3D
%3D
Compute r. (Round your answer to four decimal places.)
As x increases from 3 to 24 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.
O Given our value of r, y should tend to decrease as x increases.
O Given our value of r, y should tend to increase as x increases.
O Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
O Given our value of r, y should tend to remain constant as x increases.
Transcribed Image Text:(b) Would you say the correlation is low, moderate, or strong? low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (c) Use a calculator to verify that `x = 61, x² = 1021, y = 646, y = 93,886, and xy = 9,494. %3D %3D Compute r. (Round your answer to four decimal places.) As x increases from 3 to 24 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to increase as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. O Given our value of r, y should tend to remain constant as x increases.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning