1. What is the coefficient of determination and adjusted coefficient of determination?  What do these values illustrate? 2. At what point/value is each independent variable significant?  What does a 1 unit increase in each independent variable do to the dependent variable? 3. 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
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1. What is the coefficient of determination and adjusted coefficient of determination?  What do these values illustrate?

2. At what point/value is each independent variable significant?  What does a 1 unit increase in each independent variable do to the dependent variable?

3. What is the mean squared error for this model?  What does it mean?

A
SUMMARY
1 OUTPUT
WN
2
3
4 Multiple R
5 R Square
Regression Statistics
7
Adjusted R
6 Square
Standard Error
Observations
8
9
10 ANOVA
11
12 Regression
13 Residual
14 Total
15
16
17 Intercept
18 fixed acidity;
volatile acidity
19
20 citric acid
residual sugar
21
22 chlorides
free sulfur
23 dioxide
total sulfur
B
24 dioxide
25 density
26 pH
27 sulphates
28 alcohol
00
0.600459577
0.360551703
0.356119484
0.648011208
df
1599
с
Coefficients
SS
D
11 375.7544028 34.15949116
1587 666.4107004 0.419918526
1598 1042.165103
Standard
Error
21.96520845 21.194575
0.024990553 0.025948502
-1.083590259 0.12110128
MS
t Stat
E
F
P-value
F
81.3479022 1.7914E-145
Significance F
-1.874225158 0.419283205 -4.470069717 8.37395E-06
0.004361333 0.002171292 2.008635263 0.044744951
Lower 95%
G
Upper 95%
H
Lower 95.0%
|
Upper 95.0%
1.036359939 0.300192136 -19.60710094 63.53751785 -19.60710094 63.53751785
0.963082682 0.335652752 -0.025906394 0.075887499 -0.025906394 0.075887499
-8.947801896 9.87236E-19 -1.321125565 -0.846054953 -1.321125565 -0.846054953
-0.182563948 0.147176188 -1.240444878 0.214994246 -0.471244142 0.106116245 -0.471244142 0.106116245
0.01633127 0.015002096 1.088599183 0.276495961 -0.013094741 0.04575728 -0.013094741 0.04575728
-2.69663236 -1.051817956 -2.69663236 -1.051817956
0.000102431 0.008620235 0.000102431 0.008620235
-0.00326458 0.000728729 -4.47982984 8.00461E-06 -0.004693951 -0.001835208 -0.004693951 -0.001835208
-17.88116384 21.63309988 -0.826565029 0.408607897 -60.31362221 24.55129454 -60.31362221 24.55129454
-0.413653144 0.191597361 -2.158970991 0.031001886 -0.789463688 -0.0378426 -0.789463688
0.916334413 0.114337465 8.014297061 2.12723E-15 0.692066057 1.140602768 0.692066057
0.276197699 0.026483586 10.42901431 1.12303E-24 0.224251206 0.328144192 0.224251206
-0.0378426
1.140602768
0.328144192
Transcribed Image Text:A SUMMARY 1 OUTPUT WN 2 3 4 Multiple R 5 R Square Regression Statistics 7 Adjusted R 6 Square Standard Error Observations 8 9 10 ANOVA 11 12 Regression 13 Residual 14 Total 15 16 17 Intercept 18 fixed acidity; volatile acidity 19 20 citric acid residual sugar 21 22 chlorides free sulfur 23 dioxide total sulfur B 24 dioxide 25 density 26 pH 27 sulphates 28 alcohol 00 0.600459577 0.360551703 0.356119484 0.648011208 df 1599 с Coefficients SS D 11 375.7544028 34.15949116 1587 666.4107004 0.419918526 1598 1042.165103 Standard Error 21.96520845 21.194575 0.024990553 0.025948502 -1.083590259 0.12110128 MS t Stat E F P-value F 81.3479022 1.7914E-145 Significance F -1.874225158 0.419283205 -4.470069717 8.37395E-06 0.004361333 0.002171292 2.008635263 0.044744951 Lower 95% G Upper 95% H Lower 95.0% | Upper 95.0% 1.036359939 0.300192136 -19.60710094 63.53751785 -19.60710094 63.53751785 0.963082682 0.335652752 -0.025906394 0.075887499 -0.025906394 0.075887499 -8.947801896 9.87236E-19 -1.321125565 -0.846054953 -1.321125565 -0.846054953 -0.182563948 0.147176188 -1.240444878 0.214994246 -0.471244142 0.106116245 -0.471244142 0.106116245 0.01633127 0.015002096 1.088599183 0.276495961 -0.013094741 0.04575728 -0.013094741 0.04575728 -2.69663236 -1.051817956 -2.69663236 -1.051817956 0.000102431 0.008620235 0.000102431 0.008620235 -0.00326458 0.000728729 -4.47982984 8.00461E-06 -0.004693951 -0.001835208 -0.004693951 -0.001835208 -17.88116384 21.63309988 -0.826565029 0.408607897 -60.31362221 24.55129454 -60.31362221 24.55129454 -0.413653144 0.191597361 -2.158970991 0.031001886 -0.789463688 -0.0378426 -0.789463688 0.916334413 0.114337465 8.014297061 2.12723E-15 0.692066057 1.140602768 0.692066057 0.276197699 0.026483586 10.42901431 1.12303E-24 0.224251206 0.328144192 0.224251206 -0.0378426 1.140602768 0.328144192
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