Solving LSE of y=ax+bsinx: Find a & b

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SUMMARY

The discussion focuses on finding the least squares estimates of the coefficients a and b in the equation y = ax + bsin(x). The recommended approach involves creating a new variable z = sin(x) and performing a regression analysis on the modified model y = ax + bz + e. This method effectively allows for the estimation of both coefficients using standard regression techniques.

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peripatein
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If y = ax + bsinx, how may the least square estimates of a and b be found? Please advise!
 
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Hey peripatein.

For this, you need to create another variable for sin(x) where z = sin(x) and do a regression on the model:

y = ax + bz + e
 

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