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Regression Analysis: Statistical Interpretation and Residual Analysis, Exercises of Statistics

Seattle Institute of Oriental MedicineStatistics

A comprehensive analysis of regression results, including statistical measures like the coefficient of determination (r-squared), analysis of variance (anova), and residual analysis. It provides insights into the relationship between variables and the model's performance. Exercises and visualizations to enhance understanding.

Typology: Exercises

2023/2024

Uploaded on 10/16/2024

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Resumen
Estadísticas de la regresión
Coeficiente de correlación múl
0.974494576913158
Coeficiente de determinación
0.949639680433154
R^2 ajustado 0.94124629383868
Error típico 0.0775122828463762
Observaciones 15
ANÁLISIS DE VARIANZA
Grados de libertad Suma de cuadrados
Regresión 2 1.35954215209532
Residuos 12 0.0720978479046795
Total 14 1.43164
Coeficientes Error típico
Intercepción -0.160458042670197 0.0903891033022627
Variable X 1 0.148727022760833 0.0099713169971111
Variable X 2 0.0769151942563267 0.0201068679771222
Análisis de los residuales
Observación Pronóstico para Y Residuos
1 0.382614287896532 0.0473857121034676
2 0.310802459392026 -0.000802459392026167
3 0.357972249096186 -0.0379722490961863
4 0.385165970772443 0.0748340292275574
5 1.06931027547227 0.180689724527726
6 0.412359692448699 0.027640307551301
7 0.568741763837263 -0.0487417638372627
8 0.37284495137227 -0.0828449513722696
9 1.3939580426702 -0.103958042670197
10 0.350317200468456 -0.000317200468455625
11 0.325675161668109 0.0243248383318905
12 0.769304547074698 0.0106954529253018
13 0.513916925505372 -0.0839169255053718
14 0.501595906105199 -0.0315959061051988
15 0.355420566220276 0.0245794337797239
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Resumen

ANÁLISIS DE VARIANZA

Análisis de los residuales

Resultados de datos de probabilidad

1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6. -0. 0

Variable X 2 Gráfico de los

residuales

Variable X 2 Residuos 0 1 2 3 4 5 6 7 8 9 10 0 1 2

Variable X 1 Curva de regresión

ajustada

Y Pronóstico para Y Variable X 1 Y 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6. 0 1 2

Variable X 2 Curva de regresión

ajustada

Y Pronóstico para Y Variable X 2 Y

Gasto de alimentación Ingresos

  • Coeficiente de correlación múl 0. Estadísticas de la regresión
  • Coeficiente de determinación 0.
  • R^2 ajustado 0.
  • Error típico 0.
  • Observaciones
  • Regresión 2 1. Grados de libertad Suma de cuadrados
  • Residuos 12 0.
  • Total 14 1.
  • Intercepción -0.160458042670197 0. Coeficientes Error típico
  • Variable X 1 0.148727022760833 0.
  • Variable X 2 0.0769151942563267 0. - 1 0.382614287896532 0. Observación Pronóstico para Y Residuos - 2 0.310802459392026 -0. - 3 0.357972249096186 -0. - 4 0.385165970772443 0. - 5 1.06931027547227 0. - 6 0.412359692448699 0. - 7 0.568741763837263 -0. - 8 0.37284495137227 -0. - 9 1.3939580426702 -0.
    • 10 0.350317200468456 -0.
    • 11 0.325675161668109 0.
    • 12 0.769304547074698 0.
    • 13 0.513916925505372 -0.
    • 14 0.501595906105199 -0.
    • 15 0.355420566220276 0.
      • 0.67977107604766 113.141420300875 1.6312888353E- Promedio de los cuadrados F Valor crítico de F
    • -1.77519232748247 0.101211364691441 -0.35739898060728 0. Estadístico t Probabilidad Inferior 95% Superior 95%
      • 14.9154843641941 4.14577068789E-09 0.12700138935885 0.
      • 3.82531950494933 0.002416020104607 0.03310609234335 0.
        • 3.33333333333333 0. Percentil Y
          • 10 0.
        • 16.6666666666667 0.
        • 23.3333333333333 0.
          • 30 0.
        • 36.6666666666667 0.
        • 43.3333333333333 0.
          • 50 0.
        • 56.6666666666667 0.
        • 63.3333333333333 0.
          • 70 0.
        • 76.6666666666667 0.
        • 83.3333333333333 0.
          • 90 1.
        • 96.6666666666667 1. - -0. - 0.
      • y x
    • 0.43 2.
    • 0.31 1.
    • 0.32 0.
    • 0.46 1.
    • 1.25 6.
    • 0.44 2.
    • 0.52 1.
    • 0.29
    • 1.29 8.
    • 0.35 2.
    • 0.35 1.
    • 0.78 4.
    • 0.43 3.
    • 0.47 2.
    • 0.38 1.
  • Intercepción -0.
  • Variable X 1 0.
  • Variable X 2 0. - 0.160458042670197+0. 𝑦=- - x - 3 0.382614287896532 0. Tamaño - 4 0.310802459392026 -0. - 5 0.357972249096186 -0. - 4 0.385165970772443 0. - 4 1.06931027547227 0. - 3 0.412359692448699 0. - 6 0.568741763837263 -0. - 5 0.372844951372269 -0. - 3 1.3939580426702 -0. - 2 0.350317200468456 -0. - 4 0.325675161668109 0. - 3 0.769304547074698 0. - 2 0.513916925505372 -0. - 3 0.501595906105199 -0. - 4 0.355420566220276 0. - 0. promedio
    • r
  • 8042670197+0.148727022760833X1+0.0769151942563267X
    • 0.0022454057115527 0. error cuadrado Den
  • 6.4394107585092E-07 0.
    • 0.0014418917014228 0.
    • 0.0056001319304309 0.
    • 0.0326487765499053 0.
    • 0.0007639866015305 0.
    • 0.0023757595419675 0.
    • 0.0068632859678737 0.
    • 0.0108072746358185 0.
  • 1.0061613718847E-07 0.
    • 0.0005916977598726 0.
    • 0.0001143927132773 0.
    • 0.0070420503862741 0.
    • 0.0009983012826085 0.
    • 0.0006041485649318 0.
    • 0.0720978479046794 1. suma suma