A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 15 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 10 in increments of 2 contains 12 points. The coordinates of the points are as follows: (11, 9); (11, 7); (11, 7); (12, 9); (12, 7); (12, 8); (13, 9); (13, 9); (13, 9); (14, 9); (14, 7); (14, 9). All coordinates are approximate. b. For these​ data, b0=5.3 and b1=0.2. Interpret the meaning of the​ slope, b1​, in this problem. Choose the correct answer below.     A. The​ slope, b1​, implies that for each increase of alcohol percentage of​ 1.0, the wine quality rating is expected to increase by the value of b1.   B. The​ slope, b1​, implies that the alcohol content is equal to the value of b1​, in percentages.   C. The​ slope, b1​, implies that for each increase of 1 wine quality​ rating, the alcohol content is expected to increase by the value of b1​, in percentages.   D. The​ slope, b1​, implies that for each 0.2 percentage decrease in alcohol​ content, the wine should have an increase in its rating by 1.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
Question

The production of wine is a​ multibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine​ experts, data was collected from red wine variants of a certain type of wine. A sample of 12 wines is given. Develop a simple linear regression model to predict wine​ quality, measured on a scale from 0​ (very bad) to 10​ (excellent), based on alcohol content​ (%).

 

 

A.
 
 
 
040015Alcohol Content (%)Wine Quality Rating
 
  •  
  •  
  •  
A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 40 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 15 in increments of 5 contains 12 points. The coordinates of the points are as follows: (31, 11); (33, 11); (33, 11); (31, 12); (33, 12); (32, 12); (31, 13); (31, 13); (31, 13); (31, 14); (33, 14); (31, 14). All coordinates are approximate.
 
B.
 
 
 
015040Alcohol Content (%)Wine Quality Rating
 
  •  
  •  
  •  
A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 15 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 40 in increments of 5 contains 12 points. The coordinates of the points are as follows: (11, 31); (11, 33); (11, 33); (12, 31); (12, 33); (12, 32); (13, 31); (13, 31); (13, 31); (14, 31); (14, 33); (14, 31). All coordinates are approximate.
 
C.
 
 
 
010015Alcohol Content (%)Wine Quality Rating
 
  •  
  •  
  •  
A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 10 in increments of 2 and a vertical axis labeled "Wine Quality Rating" from 0 to 15 in increments of 5 contains 12 points. The coordinates of the points are as follows: (9, 11); (7, 11); (7, 11); (9, 12); (7, 12); (8, 12); (9, 13); (9, 13); (9, 13); (9, 14); (7, 14); (9, 14). All coordinates are approximate.
 
D.
 
 
 
015010Alcohol Content (%)Wine Quality Rating
 
  •  
  •  
  •  
A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 15 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 10 in increments of 2 contains 12 points. The coordinates of the points are as follows: (11, 9); (11, 7); (11, 7); (12, 9); (12, 7); (12, 8); (13, 9); (13, 9); (13, 9); (14, 9); (14, 7); (14, 9). All coordinates are approximate.
b. For these​ data,
b0=5.3
and
b1=0.2.
Interpret the meaning of the​ slope,
b1​,
in this problem. Choose the correct answer below.
 
 
A.
The​ slope,
b1​,
implies that for each increase of alcohol percentage of​ 1.0, the wine quality rating is expected to increase by the value of
b1.
 
B.
The​ slope,
b1​,
implies that the alcohol content is equal to the value of
b1​,
in percentages.
 
C.
The​ slope,
b1​,
implies that for each increase of 1 wine quality​ rating, the alcohol content is expected to increase by the value of
b1​,
in percentages.
 
D.
The​ slope,
b1​,
implies that for each
0.2
percentage decrease in alcohol​ content, the wine should have an increase in its rating by 1.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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