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.
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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