ANOVA df SS MS F Significance F Regression 3 2.4634E+11 8.2114E+10 8.05777132 0.00058536 Residual 26 2.6496E+11 1.0191E+10 Total 29 5.113E+11 Coefficients 5tandard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 145281.014 45051.6345 3.22476678 0.00338798 52676.0535 237885.975 52676.0535 237885.975 # BED -13274.339 19358.1796 -0.6857225 0.49895739 -53065.647 26516.9688 -53065.647 26516.9688 # BATH 73710.5596 31748.82 2.32167872 0.02835138 8449.92556 138971.194 8449.92556 138971.194 SQ. FOOT 27.5144287 31.7894981 0.86551944 0.39467018 -37.82982 92.8586779 -37.82982 92.8586779

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

Interpret the Rfor each model. (4 models in total) 

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2A
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.61153622
R Square
0.37397655
Adjusted R S 0.35161857
Standard Err 106918.894
Observations
30
ANOVA
df
SS
MS
F
Significance F
Regression
1 1.9121E+11 1.9121E+11 16.7267593 0.00033011
Residual
28 3.2009E+11 1.1432E+10
Total
29
5.113E+11
Coefficients itandard Erroi
t Stat
P-value
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept
168078.687 39929.1497 4.20942315 0.00023909 86287.5315 249869.842 86287.5315 249869.842
SQ. FOOT
71.9642244
17.59587
4.0898361 0.00033011 35.9207186
108.00773 35.9207186
108.00773
2B
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.68733137
R Square
0.47242442
Adjusted R S 0.43334474
Standard Err 99953.6445
Observations
30
ANOVA
df
SS
MS
F
Significance F
Regression
2 2.4155E+11 1.2078E+11 12.0887506 0.00017817
Residual
27 2.6975E+11 9990731043
Total
29
5.113E+11
Coefficients tandard Erroi
t Stat
P-value
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept
132431.657 40565.8222 3.26461167 0.00297502 49197.4646 215665.849 49197.4646 215665.849
# BATH
66055.2252 29428.2537 2.24461927 0.03318789 5673.43621 126437.014 5673.43621 126437.014
SQ. FOOT
18.7855236 28.8423715 0.65131689 0.52034749 -40.394134 77.9651817 -40.394134 77.9651817
Transcribed Image Text:2A SUMMARY OUTPUT Regression Statistics Multiple R 0.61153622 R Square 0.37397655 Adjusted R S 0.35161857 Standard Err 106918.894 Observations 30 ANOVA df SS MS F Significance F Regression 1 1.9121E+11 1.9121E+11 16.7267593 0.00033011 Residual 28 3.2009E+11 1.1432E+10 Total 29 5.113E+11 Coefficients itandard Erroi t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 168078.687 39929.1497 4.20942315 0.00023909 86287.5315 249869.842 86287.5315 249869.842 SQ. FOOT 71.9642244 17.59587 4.0898361 0.00033011 35.9207186 108.00773 35.9207186 108.00773 2B SUMMARY OUTPUT Regression Statistics Multiple R 0.68733137 R Square 0.47242442 Adjusted R S 0.43334474 Standard Err 99953.6445 Observations 30 ANOVA df SS MS F Significance F Regression 2 2.4155E+11 1.2078E+11 12.0887506 0.00017817 Residual 27 2.6975E+11 9990731043 Total 29 5.113E+11 Coefficients tandard Erroi t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 132431.657 40565.8222 3.26461167 0.00297502 49197.4646 215665.849 49197.4646 215665.849 # BATH 66055.2252 29428.2537 2.24461927 0.03318789 5673.43621 126437.014 5673.43621 126437.014 SQ. FOOT 18.7855236 28.8423715 0.65131689 0.52034749 -40.394134 77.9651817 -40.394134 77.9651817
20
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.68327558
RSquare
Adjusted R Sq 0.42737407
0.46686551
Standard Erro 100478.855
Observations
30
ANOVA
df
MS
F
Significance F
Regression
2 2.3871E+11 1.1935E+11
11.821941 0.00020526
Residual
27 2.7259E+11 1.0096E+10
Total
29
5.113E+11
Coefficients 5tandard Error
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
143213.395 44778.7578 3.19824404 0.00351498 51334.9735 235091.817 51334.9735 235091.817
# BED
-6565.1654 17655.8185
-0.3718415 0.71291329
-42791.913 29661.5817
-42791.913 29661.5817
# BATH
89203.758 26099.2796 3.41786284 0.00201627 35652.4596 142755.056 35652.4596 142755.056
2D
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.69411544
RSquare
0.48179624
Adjusted R Sq 0.4220035
Standard Erro 100948.944
Observations
30
ANOVA
df
MS
F
Significance F
Regression
3 2.4634E+11 8.2114E+10 8.05777132 0.00058536
Residual
26 2.6496E+11 1.0191E+10
Total
29
5.113E+11
Coefficients 5tandard Error
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
145281.014 45051.6345 3.22476678 0.00338798 52676.0535 237885.975 52676.0535 237885.975
# BED
-13274.339 19358.1796
-0.6857225 0.49895739
-53065.647 26516.9688
-53065.647 26516.9688
# BATH
73710.5596
31748.82 2.32167872 0.02835138 8449.92556 138971.194 8449.92556 138971.194
SQ. FOOT
27.5144287 31.7894981 0.86551944 0.39467018
-37.82982 92.8586779
-37.82982 92.8586779
Transcribed Image Text:20 SUMMARY OUTPUT Regression Statistics Multiple R 0.68327558 RSquare Adjusted R Sq 0.42737407 0.46686551 Standard Erro 100478.855 Observations 30 ANOVA df MS F Significance F Regression 2 2.3871E+11 1.1935E+11 11.821941 0.00020526 Residual 27 2.7259E+11 1.0096E+10 Total 29 5.113E+11 Coefficients 5tandard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 143213.395 44778.7578 3.19824404 0.00351498 51334.9735 235091.817 51334.9735 235091.817 # BED -6565.1654 17655.8185 -0.3718415 0.71291329 -42791.913 29661.5817 -42791.913 29661.5817 # BATH 89203.758 26099.2796 3.41786284 0.00201627 35652.4596 142755.056 35652.4596 142755.056 2D SUMMARY OUTPUT Regression Statistics Multiple R 0.69411544 RSquare 0.48179624 Adjusted R Sq 0.4220035 Standard Erro 100948.944 Observations 30 ANOVA df MS F Significance F Regression 3 2.4634E+11 8.2114E+10 8.05777132 0.00058536 Residual 26 2.6496E+11 1.0191E+10 Total 29 5.113E+11 Coefficients 5tandard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 145281.014 45051.6345 3.22476678 0.00338798 52676.0535 237885.975 52676.0535 237885.975 # BED -13274.339 19358.1796 -0.6857225 0.49895739 -53065.647 26516.9688 -53065.647 26516.9688 # BATH 73710.5596 31748.82 2.32167872 0.02835138 8449.92556 138971.194 8449.92556 138971.194 SQ. FOOT 27.5144287 31.7894981 0.86551944 0.39467018 -37.82982 92.8586779 -37.82982 92.8586779
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