Question-16

Assume we have trained a linear regression model on a dataset with two features:

• weight (in kilograms)
• height (in meters).

The model learned the parameters \(w_0\), \(w_1\) , and \(w_2\), where \(w_0\) is the bias, \(w_1\) corresponds to weight (in kilograms), and \(w_2\) corresponds to height (in meters). Now, if we change the unit of weight to grams and retrain the model on the same dataset, how will the learned weight parameters \(w_1\) and \(w_2\) change?

• \(w_1\) will increase by a factor of 1000, \(w_2\) will remain the same.

• \(w_1\) will decrease by a factor of 1000, \(w_2\) will remain the same.

• Both \(w_1\) and \(w_2\) will increase by a factor of 1000.

• Both \(w_1\) and \(w_2\) will remain unchanged.

Answer

• \(w_1\) will increase by a factor of 1000, \(w_2\) will remain the same.

• \(w_1\) will decrease by a factor of 1000, \(w_2\) will remain the same.

• Both \(w_1\) and \(w_2\) will increase by a factor of 1000.

• Both \(w_1\) and \(w_2\) will remain unchanged.

Solution