regression of angle withn liquid limit.doc

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*CurveEstimation.TSETNEWVAR=NONE.CURVEFIT/VARIABLES=ANGLEWITHLL/CONSTANT/MODEL=LINEARLOGARITHMICINVERSEQUADRATICCUBICCOMPOUNDPOWERSGROWTHEXPONENTIALLGSTIC/PRINTANOVA/PLOTFIT.

CurveFit

NotesOutput Created24-Oct-2014 06:42:54Comments

InputActive DatasetDataSet0

Filter

Weight

Split File

N of Rows in Working Data File5Missing Value HandlingDefinition of MissingUser-defined missing values are treated as missing.

Cases UsedCases with a missing value in any variable are not used in the analysis.SyntaxCURVEFIT /VARIABLES=ANGLE WITH LL /CONSTANT /MODEL=LINEAR LOGARITHMIC INVERSE QUADRATIC CUBIC COMPOUND POWER S GROWTH EXPONENTIAL LGSTIC /PRINT ANOVA /PLOT FIT.

ResourcesProcessor Time00:00:00.375

Elapsed Time00:00:00.250UseFromFirst observation

ToLast observationPredictFromFirst Observation following the use period

ToLast observationTime Series Settings (TSET)Amount of OutputPRINT = DEFAULT

Saving New VariablesNEWVAR = NONE

Maximum Number of Lags in Autocorrelation or Partial Autocorrelation PlotsMXAUTO = 16

Maximum Number of Lags Per Cross-Correlation PlotsMXCROSS = 7

Maximum Number of New Variables Generated Per ProcedureMXNEWVAR = 60

Maximum Number of New Cases Per ProcedureMXPREDICT = 1000

Treatment of User-Missing ValuesMISSING = EXCLUDE

Confidence Interval Percentage ValueCIN = 95

Tolerance for Entering Variables in Regression EquationsTOLER = .0001

Maximum Iterative Parameter ChangeCNVERGE = .001

Method of Calculating Std. Errors for AutocorrelationsACFSE = IND

Length of Seasonal PeriodUnspecified

Variable Whose Values Label Observations in PlotsUnspecified

Equations IncludeCONSTANT

[DataSet0]

Model DescriptionModel NameMOD_13Dependent Variable1ANGLEEquation1Linear

2Logarithmic

3Inverse

4Quadratic

5Cubic

6Compounda

7Powera

8Sa

9Growtha

10Exponentiala

11LogisticaIndependent VariableLLConstantIncludedVariable Whose Values Label Observations in PlotsUnspecifiedTolerance for Entering Terms in Equations.0001a. The model requires all non-missing values to be positive.

Case Processing Summary

NTotal Cases5Excluded Casesa0Forecasted Cases0Newly Created Cases0a. Cases with a missing value in any variable are excluded from the analysis.

Variable Processing Summary

Variables

DependentIndependent

ANGLELLNumber of Positive Values55Number of Zeros00Number of Negative Values00Number of Missing ValuesUser-Missing00

System-Missing00

ANGLE

Linear

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.020.000-.3333.293The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0131.013.001.975Residual32.532310.844

Total32.5444

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL.022.658.020.034.975(Constant)31.61035.640

.887.440

Logarithmic

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.017.000-.3333.293The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0091.009.001.979Residual32.535310.845

Total32.5444

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

ln(LL)1.04735.890.017.029.979(Constant)28.651143.243

.200.854

Inverse

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.014.000-.3333.293The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0061.006.001.982Residual32.538310.846

Total32.5444

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

1 / LL-46.7041954.997-.014-.024.982(Constant)33.69236.194

.931.421

Quadratic

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.120.014-.9714.005The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.4662.233.015.986Residual32.079216.039

Total32.5444

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL-5.68633.976-4.991-.167.882LL ** 2.052.3115.012.168.882(Constant)187.365927.719

.202.859

Cubic

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.118.014-.9724.006The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.4522.226.014.986Residual32.093216.046

Total32.5444

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL-2.80917.138-2.465-.164.885LL ** 3.000.0022.488.165.884(Constant)134.572624.110

.216.849

Excluded Terms

Beta IntSig.Partial CorrelationMinimum ToleranceLL ** 2a1.469E41.380.399.810.000a. The tolerance limit for entering variables is reached.

Compound

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.024.001-.333.103The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0001.000.002.969Residual.0323.011

Total.0324

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL1.001.0211.02448.441.000(Constant)31.24034.951

.894.437The dependent variable is ln(ANGLE).

Power

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.020.000-.333.103The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0001.000.001.974Residual.0323.011

Total.0324

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

ln(LL).0401.127.020.035.974(Constant)27.911125.508

.222.838The dependent variable is ln(ANGLE).

S

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.017.000-.333.103The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0001.000.001.979Residual.0323.011

Total.0324

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

1 / LL-1.78061.373-.017-.029.979(Constant)3.5211.136

3.099.053The dependent variable is ln(ANGLE).

Growth

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.024.001-.333.103The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0001.000.002.969Residual.0323.011

Total.0324

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL.001.021.024.042.969(Constant)3.4421.119

3.076.054The dependent variable is ln(ANGLE).

Exponential

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.024.001-.333.103The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0001.000.002.969Residual.0323.011

Total.0324

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL.001.021.024.042.969(Constant)31.24034.951

.894.437The dependent variable is ln(ANGLE).

Logistic

Model SummaryRR SquareAdjusted R SquareStd. Error of the Estimate.024.001-.333.103The independent variable is LL.

ANOVA

Sum of SquaresdfMean SquareFSig.Regression.0001.000.002.969Residual.0323.011

Total.0324

The independent variable is LL.

Coefficients

Unstandardized CoefficientsStandardized CoefficientstSig.

BStd. ErrorBeta

LL.999.021.97648.441.000(Constant).032.036

.894.437The dependent variable is ln(1 / ANGLE).