3.3. Suppose this simple linear regression model obtained an R-square value of 0.7619. What does this mean? Around 76.19% of variability of x can be explained by the variability of y through the model. Around 23.81% of variability of x can be explained by the variability of y through the model. O Around 76.19% of variability of y can be explained by the variability of x through the model. Around 23.81% of variability of y can be explained by the variability of x through the model.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
icon
Related questions
Question
show all solutions note: answer only number 3.3 (the question is connected to number 3)
3. For questions 3.1-3.3, refer to the estimated simple linear regression
model.
3.1. How does the model relates x and y?
O O
ŷ 0.2156 -0.0125x
For every one unit increase in x, y increases by 0.2156 of a unit.
For
every one unit increase in x, y decreases by 0.2156 of a unit.
For
every one unit increase in x, y increases by 0.0125 of a unit.
For every one unit increase in x, y decreases by 0.0125 of a unit.
3.2. To predict the value of y when x = 1.25, what should one check first?
O
Check if 1.25> minimum of x.
O
Check if 1.25 < maximum of x.
Check if minimum of x < 1.25 < maximum of x.
3.3. Suppose this simple linear regression model obtained an R-square value
of 0.7619. What does this mean?
Check if 1.25> mean of x.
Around 76.19% of variability of x can be explained by the variability of y through the
model.
Around 23.81% of variability of x can be explained by the variability of y through the
model.
Around 76.19% of variability of y can be explained by the variability of x through the
model.
Around 23.81% of variability of y can be explained by the variability of x through the
model.
Transcribed Image Text:3. For questions 3.1-3.3, refer to the estimated simple linear regression model. 3.1. How does the model relates x and y? O O ŷ 0.2156 -0.0125x For every one unit increase in x, y increases by 0.2156 of a unit. For every one unit increase in x, y decreases by 0.2156 of a unit. For every one unit increase in x, y increases by 0.0125 of a unit. For every one unit increase in x, y decreases by 0.0125 of a unit. 3.2. To predict the value of y when x = 1.25, what should one check first? O Check if 1.25> minimum of x. O Check if 1.25 < maximum of x. Check if minimum of x < 1.25 < maximum of x. 3.3. Suppose this simple linear regression model obtained an R-square value of 0.7619. What does this mean? Check if 1.25> mean of x. Around 76.19% of variability of x can be explained by the variability of y through the model. Around 23.81% of variability of x can be explained by the variability of y through the model. Around 76.19% of variability of y can be explained by the variability of x through the model. Around 23.81% of variability of y can be explained by the variability of x through the model.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
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