I have a big question here. Although I search over internet and also in research papers but couldn't find an answer to it.

I ran elastic net over a dataset that had close to 300 variables and a continuous outcome variable (say, Y). And below are the coefficients that are obtained from the best model after tuning hyper-parameters and using other options such as cross validation etc.

Variable    coefficient
Intercept   0.819100262
sale_1      0.064026411
sale_2      0.017481917
Tranx_1     -0.0080267
Qty_1       0.010714072
HS_1        -0.041269443
MSLY_1      -0.000621858
HS_2        -0.086004827

I masked the above variables for some reasons.

My question is can I write the final model as represented by the below equation:

Y  =  (0.819100262 * Intercept) + (0.064026411 * sale_1)    +
      (0.017481917 * sale_2)    + (-0.0080267 * Tranx_1)    +
      (0.010714072 * Qty_1)     +  (-0.041269443 * HS_1)    +
      (-0.000621858 * MSLY_1)   + (-0.086004827 * HS_2) 

closed as unclear what you're asking by whuber Sep 23 '18 at 15:53

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  • $\begingroup$ Welcome to our site. Could you explain what you might have in mind by "any other equations"? Where do you suppose they would come from and what form might they take? $\endgroup$ – whuber Sep 21 '18 at 12:15
  • $\begingroup$ @whuber Thanks for responding. Any other equation means, not like linear regression equation. e.g. just an arbitrary thought of equation... Y = x1^2 * (1 + e^X2+X4).. and to your second question, I am sorry but I am not sure about. Surely, I am looking for a knowledge enhancing answer that could help not only to me but also to other readers and learners as well. $\endgroup$ – I_m_LeMarque Sep 22 '18 at 7:23
  • $\begingroup$ In this sense, "any other equation" is so terrifically general that it is basically asking "how do I model my data." You need to be more specific. $\endgroup$ – whuber Sep 23 '18 at 15:54
  • $\begingroup$ @whuber, sorry for my bad English, may be i could not bring enough essense so modified the above question. I hope this is OK? $\endgroup$ – I_m_LeMarque Sep 25 '18 at 6:57