MATLAB: Pvalues = zero

non-linear regressionpvalue

The pvalues of the coefficients and model are equal to zero. Are they too significant to be true?
mdl = 
Nonlinear regression model:
    Emod ~ [Nonlinear formula with 7 coefficients and 9 predictors]
Estimated Coefficients:
          Estimate        SE        tStat       pValue   
          ________    __________    ______    ___________
      b1     4.5028        0.05506     81.78              0
      b2    0.99989     0.00011413    8761.1              0
      b3     4.3701       0.048136    90.786              0
      b4    0.99986     3.0081e-05     33239              0
      b5     1.0002        0.00125    800.15              0
      b6     1.0246       0.004444    230.55              0
      b7     4.4177       0.065778     67.16    8.3514e-279
Number of observations: 597, Error degrees of freedom: 591
Root Mean Squared Error: 3.7
R-Squared: 0.348,  Adjusted R-Squared 0.342
F-statistic vs. zero model: 7.69e+03, p-value = 0

Best Answer

Looking at the t-statistics, the p-values are simply too small to be calculated. Very small p-values are characteristically the result of a very large data set (here 597).
So yes they are all highly statistically significantly different from zero, meaning that they are all required in the regression, and all help to explain the result.
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