Beispiel zur Eindimensionalen RegressionWS 98/99Umdruck 1Seite -1 -

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Beispiel zur Eindimensionalen Regression WS 98/99 Umdruck 1

Seite -1 - Worksheet size: 100000 cells

MTB > Note Beispiel zur Eindimensionalen Regression MTB > =============================================

MTB > set c1

DATA> 38 45 50 45 51 53 50 55 61 DATA> end

MTB > set c2

DATA> 80 90 110 90 110 130 90 110 130 DATA> end

MTB > name c1 'Ertrag' c2 'N-Gabe' MTB > prin c1 c2

Data Display

Row Ertrag N-Gabe 1 38 80 2 45 90 3 50 110 4 45 90 5 51 110 6 53 130 7 50 90 8 55 110 9 61 130

MTB > plot 'Ertrag'*'N-Gabe';

SUBC> Symbol.

130 120 110 100 90 80 60

50

40

N-Gabe

Ertrag

MTB > Name c3 ='SRES1' c4 ='FITS1' c5 ='RESI1' c6 = 'COEF1'

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Seite -2 - MTB > Regress 'Ertrag' 1 'N-Gabe';

SUBC> SResiduals 'SRES1';

SUBC> Fits 'FITS1';

SUBC> Constant;

SUBC> Residuals 'RESI1';

SUBC> Coefficients 'COEF1'.

Regression Analysis

The regression equation is Ertrag = 16.8 + 0.316 N-Gabe

Predictor Coef Stdev t-ratio p Constant 16.763 7.309 2.29 0.056 N-Gabe 0.31610 0.06906 4.58 0.000 s = 3.536 R-sq = 75.0% R-sq(adj) = 71.4%

Analysis of Variance

SOURCE DF SS MS F p Regression 1 262.01 262.01 20.95 0.000 Error 7 87.54 12.51

Total 8 349.56

MTB > %Fitline 'Ertrag' 'N-Gabe'

Executing from file: W:\STATISTI.KSW\MTAB1096\MACROS\Fitline.MAC Macro is running ... please wait

130 120 110 100 90 80 65

55

45

35

N-Gabe

Ertrag

R-Squared = 0.750 Y = 16.7627 + 0.316102X

Regression Plot

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Seite -3 - MTB > prin c1-c6

Data Display

Row Ertrag N-Gabe SRES1 FITS1 RESI1 COEF1 1 38 80 -1.40890 42.0508 -4.05085 16.7627 2 45 90 -0.06659 45.2119 -0.21186 0.3161 3 50 110 -0.46313 51.5339 -1.53390

4 45 90 -0.06659 45.2119 -0.21186 5 51 110 -0.16120 51.5339 -0.53390 6 53 130 -1.71664 57.8559 -4.85593 7 50 90 1.50503 45.2119 4.78814 8 55 110 1.04653 51.5339 3.46610 9 61 130 1.11147 57.8559 3.14407 MTB >