Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 30 wines, a model wa alcohol to predict wine quality. The data are modeled by Y = -0.9473 +0.6506X₁, where X; is the alcohol content and Ŷ₁ is the wi analysis for these data. Evaluate whether the assumptions of regression have been seriously violated. Click the icon to view the data table. Which of the assumptions of regression, if any, have been seriously violated? Select all that apply. A. The assumption of normality has been violated because the normal probability plot does not appear to be a straight line. B. The assumption of independence of errors has been violated because the errors are not independent of one another.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
icon
Related questions
Question
Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 30 wines, a model was created using the percentages of
alcohol to predict wine quality. The data are modeled by Y₁ = -0.9473 +0.6506X;, where X; is the alcohol content and Ỹ; is the wine quality. Perform a residual
analysis for these data. Evaluate whether the assumptions of regression have been seriously violated.
Click the icon to view the data table.
Which
of the assumptions of regression, if any, have been seriously violated? Select all that apply.
A. The assumption of normality has been violated because the normal probability plot does not appear to be a straight line.
B. The assumption of independence of errors has been violated because the errors are not independent of one another.
C. The assumption of linearity has been violated because the data are clearly curvilinear.
D.
The assumption of equal variance has been violated because the variability of the residuals is not constant for all values of X.
E. The assumptions of linearity, independence, normality, and equal variance do not appear to have been seriously violated.
... 0
Transcribed Image Text:Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 30 wines, a model was created using the percentages of alcohol to predict wine quality. The data are modeled by Y₁ = -0.9473 +0.6506X;, where X; is the alcohol content and Ỹ; is the wine quality. Perform a residual analysis for these data. Evaluate whether the assumptions of regression have been seriously violated. Click the icon to view the data table. Which of the assumptions of regression, if any, have been seriously violated? Select all that apply. A. The assumption of normality has been violated because the normal probability plot does not appear to be a straight line. B. The assumption of independence of errors has been violated because the errors are not independent of one another. C. The assumption of linearity has been violated because the data are clearly curvilinear. D. The assumption of equal variance has been violated because the variability of the residuals is not constant for all values of X. E. The assumptions of linearity, independence, normality, and equal variance do not appear to have been seriously violated. ... 0
1 Wines
2
3
4
5
6
7
8
9
CEN3 456^∞ 99 57%98
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
82
33
34
35
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Alcohol content (X)
10.2
11.3
9.1
10.1
12.4
9.7
9.4
9.8
10.6
9.2
10.4
10.3
11.3
10.6
10.8
10.4
10.6
9.1
10.4
10.3
11.6
9.6
11.3
9.8
13.7
12.8
9.2
10.1
11.2
8.9
Wine quality (Y)
6
5
6
6
9
6
5
5
6
5
6
5
7
6
5
5
5
5
5
6
6
5
6
6
9
6
1000 in
6
5
8
5
E
T
Transcribed Image Text:1 Wines 2 3 4 5 6 7 8 9 CEN3 456^∞ 99 57%98 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 82 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Alcohol content (X) 10.2 11.3 9.1 10.1 12.4 9.7 9.4 9.8 10.6 9.2 10.4 10.3 11.3 10.6 10.8 10.4 10.6 9.1 10.4 10.3 11.6 9.6 11.3 9.8 13.7 12.8 9.2 10.1 11.2 8.9 Wine quality (Y) 6 5 6 6 9 6 5 5 6 5 6 5 7 6 5 5 5 5 5 6 6 5 6 6 9 6 1000 in 6 5 8 5 E T
Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Recommended textbooks for you
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
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill