Why is correlation between my independent variables helping my linear regression model?Can we predict...

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Why is correlation between my independent variables helping my linear regression model?


Can we predict correlation between independent variables based on dependent variablesWhy augmenting the training data with binary attributes works better for our dataset?Linear regression on probabilistic dataXGBoost: predict on only valuable featuresBest way to normalize datasets for a linear regression model?Choosing input variables for Linear Regression for higher accuracyPlease help to identify if there is meaning of linear variables separation by features in phase space?How to calculate and print unseen time series values for LSTM after train, valid and test dataNeed input on which features to drop in classification modelReducing Bias when trying to find Feature Importance using a Random Forest













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I am working with PUBG data and developing a linear regression model for the same ! Now there were three features in my original dataset, ridedistance, swimdistance, walkdistance. I combined the three with a new feature : distance covered which is the sum of the above mentioned three features. When putting it in a linearregression model, when I use the three features and the fourth one as well, I get a better score as compared to using the three featues only or using only the fourth feature. I have read that correlation between features when developing a model should not be there. But when all features (4 of them) having correlation are used to develop a model, the model has a better square (R-square). Why is this happening ?










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bumped to the homepage by Community 5 mins ago


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  • $begingroup$
    It would be better if you specify the model...is it a NN linear regression model? or simply a ML regression model? Also what are you trying to predict?
    $endgroup$
    – DuttaA
    Jan 27 at 16:49










  • $begingroup$
    @DuttaA It is a linear regression model from scikit-learn. There are 29 total columns (all continuous) and I am trying to predict a float number from 0 to 1 which can have any value upto 2 places of decimal.
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:50










  • $begingroup$
    I don't know what sickit-learn is using, so you need to specify what exactly are you using...whether it is a NN based model or not..
    $endgroup$
    – DuttaA
    Jan 27 at 16:52










  • $begingroup$
    It;s not NN based model. It's a model based on gradient descent and regression much like y_predict = m1x1 + m2x2 + ... + c
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:58
















0












$begingroup$


I am working with PUBG data and developing a linear regression model for the same ! Now there were three features in my original dataset, ridedistance, swimdistance, walkdistance. I combined the three with a new feature : distance covered which is the sum of the above mentioned three features. When putting it in a linearregression model, when I use the three features and the fourth one as well, I get a better score as compared to using the three featues only or using only the fourth feature. I have read that correlation between features when developing a model should not be there. But when all features (4 of them) having correlation are used to develop a model, the model has a better square (R-square). Why is this happening ?










share|improve this question









$endgroup$




bumped to the homepage by Community 5 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.















  • $begingroup$
    It would be better if you specify the model...is it a NN linear regression model? or simply a ML regression model? Also what are you trying to predict?
    $endgroup$
    – DuttaA
    Jan 27 at 16:49










  • $begingroup$
    @DuttaA It is a linear regression model from scikit-learn. There are 29 total columns (all continuous) and I am trying to predict a float number from 0 to 1 which can have any value upto 2 places of decimal.
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:50










  • $begingroup$
    I don't know what sickit-learn is using, so you need to specify what exactly are you using...whether it is a NN based model or not..
    $endgroup$
    – DuttaA
    Jan 27 at 16:52










  • $begingroup$
    It;s not NN based model. It's a model based on gradient descent and regression much like y_predict = m1x1 + m2x2 + ... + c
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:58














0












0








0





$begingroup$


I am working with PUBG data and developing a linear regression model for the same ! Now there were three features in my original dataset, ridedistance, swimdistance, walkdistance. I combined the three with a new feature : distance covered which is the sum of the above mentioned three features. When putting it in a linearregression model, when I use the three features and the fourth one as well, I get a better score as compared to using the three featues only or using only the fourth feature. I have read that correlation between features when developing a model should not be there. But when all features (4 of them) having correlation are used to develop a model, the model has a better square (R-square). Why is this happening ?










share|improve this question









$endgroup$




I am working with PUBG data and developing a linear regression model for the same ! Now there were three features in my original dataset, ridedistance, swimdistance, walkdistance. I combined the three with a new feature : distance covered which is the sum of the above mentioned three features. When putting it in a linearregression model, when I use the three features and the fourth one as well, I get a better score as compared to using the three featues only or using only the fourth feature. I have read that correlation between features when developing a model should not be there. But when all features (4 of them) having correlation are used to develop a model, the model has a better square (R-square). Why is this happening ?







python scikit-learn data linear-regression






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Jan 27 at 12:30









Rishabh SharmaRishabh Sharma

554




554





bumped to the homepage by Community 5 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.







bumped to the homepage by Community 5 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.














  • $begingroup$
    It would be better if you specify the model...is it a NN linear regression model? or simply a ML regression model? Also what are you trying to predict?
    $endgroup$
    – DuttaA
    Jan 27 at 16:49










  • $begingroup$
    @DuttaA It is a linear regression model from scikit-learn. There are 29 total columns (all continuous) and I am trying to predict a float number from 0 to 1 which can have any value upto 2 places of decimal.
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:50










  • $begingroup$
    I don't know what sickit-learn is using, so you need to specify what exactly are you using...whether it is a NN based model or not..
    $endgroup$
    – DuttaA
    Jan 27 at 16:52










  • $begingroup$
    It;s not NN based model. It's a model based on gradient descent and regression much like y_predict = m1x1 + m2x2 + ... + c
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:58


















  • $begingroup$
    It would be better if you specify the model...is it a NN linear regression model? or simply a ML regression model? Also what are you trying to predict?
    $endgroup$
    – DuttaA
    Jan 27 at 16:49










  • $begingroup$
    @DuttaA It is a linear regression model from scikit-learn. There are 29 total columns (all continuous) and I am trying to predict a float number from 0 to 1 which can have any value upto 2 places of decimal.
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:50










  • $begingroup$
    I don't know what sickit-learn is using, so you need to specify what exactly are you using...whether it is a NN based model or not..
    $endgroup$
    – DuttaA
    Jan 27 at 16:52










  • $begingroup$
    It;s not NN based model. It's a model based on gradient descent and regression much like y_predict = m1x1 + m2x2 + ... + c
    $endgroup$
    – Rishabh Sharma
    Jan 27 at 16:58
















$begingroup$
It would be better if you specify the model...is it a NN linear regression model? or simply a ML regression model? Also what are you trying to predict?
$endgroup$
– DuttaA
Jan 27 at 16:49




$begingroup$
It would be better if you specify the model...is it a NN linear regression model? or simply a ML regression model? Also what are you trying to predict?
$endgroup$
– DuttaA
Jan 27 at 16:49












$begingroup$
@DuttaA It is a linear regression model from scikit-learn. There are 29 total columns (all continuous) and I am trying to predict a float number from 0 to 1 which can have any value upto 2 places of decimal.
$endgroup$
– Rishabh Sharma
Jan 27 at 16:50




$begingroup$
@DuttaA It is a linear regression model from scikit-learn. There are 29 total columns (all continuous) and I am trying to predict a float number from 0 to 1 which can have any value upto 2 places of decimal.
$endgroup$
– Rishabh Sharma
Jan 27 at 16:50












$begingroup$
I don't know what sickit-learn is using, so you need to specify what exactly are you using...whether it is a NN based model or not..
$endgroup$
– DuttaA
Jan 27 at 16:52




$begingroup$
I don't know what sickit-learn is using, so you need to specify what exactly are you using...whether it is a NN based model or not..
$endgroup$
– DuttaA
Jan 27 at 16:52












$begingroup$
It;s not NN based model. It's a model based on gradient descent and regression much like y_predict = m1x1 + m2x2 + ... + c
$endgroup$
– Rishabh Sharma
Jan 27 at 16:58




$begingroup$
It;s not NN based model. It's a model based on gradient descent and regression much like y_predict = m1x1 + m2x2 + ... + c
$endgroup$
– Rishabh Sharma
Jan 27 at 16:58










1 Answer
1






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0












$begingroup$

It seems that you are dealing with the problem of Multicollinearity. Multicollinearity happens when your predictors are correlated with other predictors in the model.



Moderate multicollinearity may not be problematic. However, severe multicollinearity is a problem because it can increase the variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model. The result is that the coefficient estimates are unstable and difficult to interpret.



You can use adjusted R-squared to see if the new added variable is actually helping your model to better explain the variance.






share|improve this answer









$endgroup$













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    1 Answer
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    1 Answer
    1






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    active

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    0












    $begingroup$

    It seems that you are dealing with the problem of Multicollinearity. Multicollinearity happens when your predictors are correlated with other predictors in the model.



    Moderate multicollinearity may not be problematic. However, severe multicollinearity is a problem because it can increase the variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model. The result is that the coefficient estimates are unstable and difficult to interpret.



    You can use adjusted R-squared to see if the new added variable is actually helping your model to better explain the variance.






    share|improve this answer









    $endgroup$


















      0












      $begingroup$

      It seems that you are dealing with the problem of Multicollinearity. Multicollinearity happens when your predictors are correlated with other predictors in the model.



      Moderate multicollinearity may not be problematic. However, severe multicollinearity is a problem because it can increase the variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model. The result is that the coefficient estimates are unstable and difficult to interpret.



      You can use adjusted R-squared to see if the new added variable is actually helping your model to better explain the variance.






      share|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        It seems that you are dealing with the problem of Multicollinearity. Multicollinearity happens when your predictors are correlated with other predictors in the model.



        Moderate multicollinearity may not be problematic. However, severe multicollinearity is a problem because it can increase the variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model. The result is that the coefficient estimates are unstable and difficult to interpret.



        You can use adjusted R-squared to see if the new added variable is actually helping your model to better explain the variance.






        share|improve this answer









        $endgroup$



        It seems that you are dealing with the problem of Multicollinearity. Multicollinearity happens when your predictors are correlated with other predictors in the model.



        Moderate multicollinearity may not be problematic. However, severe multicollinearity is a problem because it can increase the variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model. The result is that the coefficient estimates are unstable and difficult to interpret.



        You can use adjusted R-squared to see if the new added variable is actually helping your model to better explain the variance.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Jan 28 at 2:32









        Amirhos ImaniAmirhos Imani

        1334




        1334






























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