Is there a linearity condition for polynomial regression?  I was provided data to make a linear regression model from.  The linear regression did not fit the data well, and this could be seen when looking at a plot of the residuals vs the independent variable as it violated the linearity assumption.  As a result I was asked to provide a polynomial regression.  The polynomial model fit much better, and to provide further evidence of this I was asked to discuss the assumptions of regression.  I believed the linearity condition was met as the same residual vs independent variable plot had no clear pattern to it.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Is there a linearity condition for polynomial regression?  I was provided data to make a linear regression model from.  The linear regression did not fit the data well, and this could be seen when looking at a plot of the residuals vs the independent variable as it violated the linearity assumption.  As a result I was asked to provide a polynomial regression.  The polynomial model fit much better, and to provide further evidence of this I was asked to discuss the assumptions of regression.  I believed the linearity condition was met as the same residual vs independent variable plot had no clear pattern to it.

 

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