mpg = mileage per gallon and hp = horsepower
Why is this model a linear model despite having a square of horsepower in it?
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2$\begingroup$ Models are called linear when they are a linear function of the coefficients. $\endgroup$– Michael R. ChernickNov 1, 2019 at 3:40
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2$\begingroup$ Ok i got the answer. For the model to be linear it needs to be linear in terms of parameters not the predictors. Here betas are parameters and horsepower is predictor $\endgroup$– Bhuwan BhattNov 1, 2019 at 3:55
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$\begingroup$ I'm voting to close this question topic because the OP answered it in a comment $\endgroup$– Peter FlomNov 1, 2019 at 11:39
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2 Answers
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In order to explain this, I would consider the following quadratic function.
By comparing this function with your function, x1 would be similar to your hp (horsepower).
Actually what we have really done is, we have created a new feature x2 where
By plugging this new feature to the above hypothesis we get the following function which is just like a linear model
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$\begingroup$ i have posted the correct answer below. $\endgroup$ Nov 4, 2019 at 11:47
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Ok i got the answer. For the model to be linear it needs to be linear in terms of parameters not the predictors. Here betas are parameters and horsepower is predictor