What is the coefficient of determination, and adjusted coefficient of determination? What do these values illustrate? What is the mean squared error for this model? What does it mean?
What is the coefficient of determination, and adjusted coefficient of determination? What do these values illustrate? What is the mean squared error for this model? What does it mean?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
What is the coefficient of determination, and adjusted coefficient of determination? What do these values illustrate?
- What is the
mean squared error for this model? What does it mean?
![SUMMARY
OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R
Square
Standard Error 0.648011208
Observations
ANOVA
Regression
Residual
Total
Intercept
fixed acidity;
volatile acidity
citric acid
residual sugar
chlorides
free sulfur
dioxide
total sulfur
dioxide
density
pH
sulphates
alcohol
0.600459577
0.360551703
0.356119484
df
1599
1587
1598
11 375.754403 34.15949116
0.419918526
Coefficients
SS
-0.18256395
0.01633127
-1.87422516
0.004361333
MS
666.4107
1042.1651
t Stat
F
81.3479022
P-value
Standard
63.53751785 -19.60710094
63.53751785
Error
21.96520845 21.194575 1.036359939 0.300192136 -19.60710094
0.024990553 0.0259485 0.963082682 0.335652752 -0.025906394 0.075887499 -0.025906394 0.075887499
-1.08359026 0.12110128 -8.947801896 9.87236E-19 -1.321125565 -0.846054953 -1.321125565 -0.846054953
Significance F
1.7914E-145
0.41928321 -4.470069717 8.37395E-06
0.00217129 2.008635263 0.044744951
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
0.14717619 -1.240444878 0.214994246 -0.471244142 0.106116245 -0.471244142 0.106116245
0.0150021 1.088599183 0.276495961 -0.013094741 0.04575728 -0.013094741 0.04575728
-17.8811638 21.6330999 -0.826565029 0.408607897 -60.31362221
-0.41365314 0.19159736 -2.158970991 0.031001886 -0.789463688
0.916334413 0.11433747 8.014297061 2.12723E-15 0.692066057
0.276197699 0.02648359 10.42901431 1.12303E-24 0.224251206
-2.69663236 -1.051817956 -2.69663236 -1.051817956
0.000102431 0.008620235 0.000102431 0.008620235
-0.00326458 0.00072873 -4.47982984 8.00461E-06 -0.004693951 -0.001835208 -0.004693951 -0.001835208
24.55129454 -60.31362221 24.55129454
-0.0378426 -0.789463688 -0.0378426
1.140602768 0.692066057 1.140602768
0.328144192 0.224251206 0.328144192](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99272488-36be-4f7f-9699-1306eb66175b%2F65d59aea-b826-4f2c-ae3a-dd226b8b8b57%2Fj6r7n3j_processed.png&w=3840&q=75)
Transcribed Image Text:SUMMARY
OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R
Square
Standard Error 0.648011208
Observations
ANOVA
Regression
Residual
Total
Intercept
fixed acidity;
volatile acidity
citric acid
residual sugar
chlorides
free sulfur
dioxide
total sulfur
dioxide
density
pH
sulphates
alcohol
0.600459577
0.360551703
0.356119484
df
1599
1587
1598
11 375.754403 34.15949116
0.419918526
Coefficients
SS
-0.18256395
0.01633127
-1.87422516
0.004361333
MS
666.4107
1042.1651
t Stat
F
81.3479022
P-value
Standard
63.53751785 -19.60710094
63.53751785
Error
21.96520845 21.194575 1.036359939 0.300192136 -19.60710094
0.024990553 0.0259485 0.963082682 0.335652752 -0.025906394 0.075887499 -0.025906394 0.075887499
-1.08359026 0.12110128 -8.947801896 9.87236E-19 -1.321125565 -0.846054953 -1.321125565 -0.846054953
Significance F
1.7914E-145
0.41928321 -4.470069717 8.37395E-06
0.00217129 2.008635263 0.044744951
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
0.14717619 -1.240444878 0.214994246 -0.471244142 0.106116245 -0.471244142 0.106116245
0.0150021 1.088599183 0.276495961 -0.013094741 0.04575728 -0.013094741 0.04575728
-17.8811638 21.6330999 -0.826565029 0.408607897 -60.31362221
-0.41365314 0.19159736 -2.158970991 0.031001886 -0.789463688
0.916334413 0.11433747 8.014297061 2.12723E-15 0.692066057
0.276197699 0.02648359 10.42901431 1.12303E-24 0.224251206
-2.69663236 -1.051817956 -2.69663236 -1.051817956
0.000102431 0.008620235 0.000102431 0.008620235
-0.00326458 0.00072873 -4.47982984 8.00461E-06 -0.004693951 -0.001835208 -0.004693951 -0.001835208
24.55129454 -60.31362221 24.55129454
-0.0378426 -0.789463688 -0.0378426
1.140602768 0.692066057 1.140602768
0.328144192 0.224251206 0.328144192
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