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Statistics

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Annex A Basic Analysis | | Reciprocating | Scroll | All | Average Price | Europe | $ 31,31 | $ 38,60 | $ 32,28 | | Latin | $ 38,71 | Does not exist | $ 38,71 | | North | $ 32,43 | $ 34,69 | $ 33,11 | | Total | $ 33,73 | $ 35,67 | $ 34,08 | Average Volume | Europe | 111.307,69 | 88.000,00 | 108.200,00 | | Latin | 67.000,00 | Does not exist | 67.000,00 | | North | 121.142,86 | 174.500,00 | 137.150,00 | | Total | 103.054,05 | 152.875,00 | 111.911,11 | Average BTU | Europe | 410,00 | 850,00 | 468,67 | | Latin | 482,50 | Does not exist | 482,50 | | North | 523,21 | 893,33 | 634,25 | | Total | 472,43 | 882,50 | 545,33 | Average Efficiency | Europe | 4,49 | 4,77 | 4,53 | | Latin | 4,94 | Does not exist | 4,94 | | North | 3,93 | 3,35 | 3,76 | | Total | 4,40 | 3,71 | 4,28 | Total parts | Europe | 13,00 | 2,00 | 15,00 | | Latin | 10,00 | Does not exist | 10,00 | | North | 14,00 | 6,00 | 20,00 | | Total | 37,00 | 8,00 | 45,00 |

Annex B1 Correlation Matrix | Price | Capacity | Weight | EER* | Unit | Latin | North | Europe | Reciprocating | Scroll | Price | 1 | | | | | | | | | | | | | | | | | | | | | Capacity | 0,323 | 1 | | | | | | | | | | 0,03 | | | | | | | | | | Weight | 0,319 | 0,998 | 1 | | | | | | | | | 0,033 | 0 | | | | | | | | | EER* | 0,311 | -0,342 | -0,344 | 1 | | | | | | | | 0,037 | 0,021 | 0,021 | | | | | | | | Volume | -0,351 | 0,072 | 0,085 | -0,247 | 1 | | | | | | | 0,018 | 0,64 | 0,577 | 0,102 | | | | | | | Latin | 0,619 | -0,136 | -0,133 | 0,558 | -0,177 | 1 | | | | | | 0 | 0,372 | 0,384 | 0 | 0,244 | | | | | | North | -0,216 | 0,323 | 0,316 | -0,731 | 0,167 | -0,478 | 1 | | | | | 0,153 | 0,031 | 0,034 | 0 | 0,274 | 0,001 | | | | | Europe | -0,317 | -0,22 | -0,216 | 0,279 | -0,019 | -0,378 | -0,632 | 1 | | | | 0,034 | 0,147 | 0,154 | 0,064 | 0,899 | 0,01 | 0 | | | | Reciprocating | -0,185 | -0,636 | -0,64 | 0,418 | -0,141 | 0,249 | -0,286 | 0,082 | 1 | | | 0,224 | 0 | 0 | 0,004 | 0,357 | 0,1 | 0,057 | 0,591 | | | Scroll | 0,185 | 0,636 | 0,64 | -0,418 | 0,141 | -0,249 | 0,286 | -0,082 | -1 | 1 | | 0,224 | 0 | 0 | 0,004 | 0,357 | 0,1 | 0,057 | 0,591 | * | | Cell Contents:Pearson correlation P-value | | | | | | | | | | |

Annex B2 Matrix Plot

Annex C Scatter Plot, Price vs predictors

Annex D1 Regression analysis first model

Regression Analysis: Price/ Unit versus Capacity BTU/Hr; EER*; ...

* Europe is highly correlated with other X variables
* Europe has been removed from the equation.

* Scroll is highly correlated with other X variables
* Scroll has been removed from the equation.

The regression equation is
Price/ Unit = 54,2 + 0,00516 Capacity BTU/Hr - 5,75 EER* + 0,83 EERQuad - 1,23 lnVolume + 5,27 Latin + 0,55 North - 1,76 Reciprocating

Predictor Coef SE Coef T P VIF
Constant 54,20 21,39 2,53 0,016
Capacity BTU/Hr 0,005161 0,002148 2,40 0,021 1,787
EER* -5,752 9,284 -0,62 0,539 222,344
EERQuad 0,827 1,103 0,75 0,458 222,670 lnVolume -1,2257 0,5269 -2,33 0,026 1,101
Latin 5,266 1,315 4,00 0,000 1,905
North 0,551 1,198 0,46 0,648 2,259
Reciprocating -1,765 1,465 -1,20 0,236 2,000

S = 2,65729 R-Sq = 63,7% R-Sq(adj) = 56,9%

Analysis of Variance

Source DF SS MS F P
Regression 7 459,384 65,626 9,29 0,000
Residual Error 37 261,265 7,061
Total 44 720,649

Source DF Seq SS
Capacity BTU/Hr 1 75,380
EER* 1 145,422
EERQuad 1 49,167 lnVolume 1 74,699
Latin 1 103,857
North 1 0,621
Reciprocating 1 10,238

Unusual Observations

Capacity Price/
Obs BTU/Hr Unit Fit SE Fit Residual St Resid 40 825 28,230 32,548 1,570 -4,318 -2,01R

R denotes an observation with a large standardized residual.

Annex D2 Residual plots of the first model

Annex E1 Regression analysis, second model
Except EER

Regression Analysis: Price/ Unit versus Capacity BTU/Hr; lnVolume; ...

* Europe is highly correlated with other X variables
* Europe has been removed from the equation.

* Scroll is highly correlated with other X variables
* Scroll has been removed from the equation.

The regression equation is
Price/ Unit = 44,7 + 0,00530 Capacity BTU/Hr - 1,19 lnVolume + 6,12 Latin - 0,237 North - 1,68 Reciprocating

Predictor Coef SE Coef T P VIF
Constant 44,698 6,196 7,21 0,000
Capacity BTU/Hr 0,005298 0,002134 2,48 0,017 1,771 lnVolume -1,1921 0,5151 -2,31 0,026 1,056
Latin 6,119 1,119 5,47 0,000 1,384
North -0,2375 0,9495 -0,25 0,804 1,424
Reciprocating -1,681 1,371 -1,23 0,228 1,758

S = 2,65254 R-Sq = 61,9% R-Sq(adj) = 57,0%

Analysis of Variance

Source DF SS MS F P
Regression 5 446,245 89,249 12,68 0,000
Residual Error 39 274,403 7,036
Total 44 720,649

Source DF Seq SS
Capacity BTU/Hr 1 75,380 lnVolume 1 99,519
Latin 1 260,389
North 1 0,382
Reciprocating 1 10,576

Unusual Observations

Capacity Price/
Obs BTU/Hr Unit Fit SE Fit Residual St Resid 18 350 33,880 39,018 0,989 -5,138 -2,09R 40 825 28,230 32,705 1,483 -4,475 -2,03R

R denotes an observation with a large standardized residual.

Annex E2 Residual plots, second model

Annex F1 Regression analysis, third model
Except Reciprocating

Regression Analysis: Price/ Unit versus Capacity BTU/Hr; lnVolume; ...

* Europe is highly correlated with other X variables
* Europe has been removed from the equation.

The regression equation is
Price/ Unit = 42,4 + 0,00689 Capacity BTU/Hr - 1,18 lnVolume + 5,88 Latin - 0,221 North

Predictor Coef SE Coef T P VIF
Constant 42,401 5,943 7,13 0,000
Capacity BTU/Hr 0,006888 0,001705 4,04 0,000 1,117 lnVolume -1,1837 0,5182 -2,28 0,028 1,056
Latin 5,876 1,108 5,30 0,000 1,340
North -0,2212 0,9553 -0,23 0,818 1,423

S = 2,66917 R-Sq = 60,5% R-Sq(adj) = 56,5%

Analysis of Variance

Source DF SS MS F P
Regression 4 435,67 108,92 15,29 0,000
Residual Error 40 284,98 7,12
Total 44 720,65

Source DF Seq SS
Capacity BTU/Hr 1 75,38 lnVolume 1 99,52
Latin 1 260,39
North 1 0,38

Annex F2 Residual plots, thrid model

Annex G1 Descriptive statistics, part 346-0217

Annex G2 Descriptive statistics, part925-1677

Annex G3 Descriptive statistics, part823-6516

Annex G4 Descriptive statistics, part 783-9488

Annex G5 Descriptive statistics, facility Christiansen

Annex G6 Descriptive statistics, facility Bugendorf

Annex G7 Descriptive statistics, facility Albertos

aNNEX g8 Descriptive statistics, facility Del Rio

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