3.Which model do you think is the “best” reduced model? Discuss why you choose this model. Analysis of Variance Table (Step back model) Response: rent           Df Sum Sq Mean Sq F value    Pr(>F)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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3.Which model do you think is the “best” reduced model? Discuss why you choose this model.

Analysis of Variance Table (Step back model)

Response: rent

          Df Sum Sq Mean Sq F value    Pr(>F)   

age        1  21000   21000 17.1136 0.0003079 ***

sqft       1  35364   35364 28.8196 1.134e-05 ***

sd         1   5961    5961  4.8576 0.0362339 * 

unts       1   8678    8678  7.0722 0.0130049 * 

gar        1  33364   33364 27.1899 1.713e-05 ***

cp         1   7641    7641  6.2269 0.0189934 * 

Residuals 27  33131    1227                     

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

 

Step forward model:

Response: rent

          Df Sum Sq Mean Sq F value    Pr(>F)   

age        1  21000   21000 16.6255  0.000406 ***

sqft       1  35364   35364 27.9976 1.757e-05 ***

sd         1   5961    5961  4.7191  0.039517 * 

unts       1   8678    8678  6.8705  0.014697 * 

gar        1  33364   33364 26.4144 2.599e-05 ***

cp         1   7641    7641  6.0493  0.021176 * 

ss         1    419     419  0.3316  0.569855   

fit        1   1135    1135  0.8983  0.352314   

Residuals 25  31578    1263                     

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Stepwise model:

Response: rent

          Df Sum Sq Mean Sq F value    Pr(>F)   

age        1  21000   21000 17.1136 0.0003079 ***

sqft       1  35364   35364 28.8196 1.134e-05 ***

sd         1   5961    5961  4.8576 0.0362339 * 

unts       1   8678    8678  7.0722 0.0130049 * 

gar        1  33364   33364 27.1899 1.713e-05 ***

cp         1   7641    7641  6.2269 0.0189934 * 

Residuals 27  33131    1227                     

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

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