Mean Squared Error (MSE): 2150461.9855868304 Root Mean Squared Error (RMSE): 1466.4453571772904 R-squared (R²) Score: -0.005936692333339044 Intercept: 49252.18987390094 Coefficients: Feature Coefficient Importer_quality 5.619887 Exporter_quality -3.609950 Year 1.588036 Agreement -11.532711 Product_category_Category_B -128.423976 Product_category_Category_C -134.246852 Product_category_Category_D -115.542548 Country_origin_Country_Y 150.971723 Country_origin_Country_Z 137.026169 Country_destination_Country_J 26.563896 Country_destination_Country_K 120.114008 Country_destination_Country_L 22.291822 Shipping_method_Rail 3.701013 Shipping_method_Road 7.591860 Shipping_method_Road_ 528.303054 Shipping_method_Sea 19.100443 Shipping_method_Sea_ -105.760755 May i know why the code is missing target variables mentioned below: 1) Product_category = Category_A 2) Country_origin = Country_X 3) Country_destination = Country_I 4) Shipping_method = Air
Question
Mean Squared Error (MSE): 2150461.9855868304 Root Mean Squared Error (RMSE): 1466.4453571772904 R-squared (R²) Score: -0.005936692333339044
Intercept: 49252.18987390094
Coefficients: Feature Coefficient Importer_quality 5.619887 Exporter_quality -3.609950 Year 1.588036 Agreement -11.532711 Product_category_Category_B -128.423976 Product_category_Category_C -134.246852 Product_category_Category_D -115.542548 Country_origin_Country_Y 150.971723 Country_origin_Country_Z 137.026169 Country_destination_Country_J 26.563896 Country_destination_Country_K 120.114008 Country_destination_Country_L 22.291822 Shipping_method_Rail 3.701013 Shipping_method_Road 7.591860 Shipping_method_Road_ 528.303054 Shipping_method_Sea 19.100443 Shipping_method_Sea_ -105.760755
May i know why the code is missing target variables mentioned below:
- Product_category = Category_A
- Country_origin = Country_X
- Country_destination = Country_I
- Shipping_method = Air
Solution
The reason why the target variables you mentioned are missing is likely due to the fact that they have been used as reference categories in your regression model.
When you create dummy variables for categorical variables in regression analysis, one category usually needs to be left out as the reference category. This is to avoid the "dummy variable trap", which is a scenario in which the independent variables are multicollinear - a scenario in which two or more variables are highly correlated; in simple terms one variable can be predicted from the others.
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For the variable 'Product_category', 'Category_A' is likely the reference category. This means that the coefficients of the other categories (B, C, D) are in relation to 'Category_A'.
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Similarly, for 'Country_origin', 'Country_X' is the reference category. The coefficients of 'Country_Y' and 'Country_Z' are in relation to 'Country_X'.
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For 'Country_destination', 'Country_I' is the reference category. The coefficients of 'Country_J', 'Country_K', and 'Country_L' are in relation to 'Country_I'.
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For 'Shipping_method', 'Air' is the reference category. The coefficients of 'Rail', 'Road', 'Road_', 'Sea', and 'Sea_' are in relation to 'Air'.
In other words, the coefficients for these reference categories are included in the model intercept.
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