First I am a beginner and am trying to understand linear regression. I was reading an article and saw a formula:

Power = Irradiance * (A + B * Irradiance + C * Temperature + D * Windspeed)

Given the above, the article said that "linear regression is performed on test data to determine constants A, B, C and D". Will someone be able to enlighten me on the constants A to D in a general terms? Will appreciate if someone can point out some website to help me understand linear regression and how to find these constants.

Thank you.

  • $\begingroup$ Linear regression would be more of the form $y=A+Bx_1+Cx_2+Dx_3+\epsilon$ so in your example you might consider $y=\frac{\text{Power}}{\text{Irradiance}}$, $x_1=\text{Irradiance}$, $x_2=\text{Temperature}$, $x_3=\text{Windspeed}$ $\endgroup$ – Henry Feb 16 at 15:32
  • $\begingroup$ Thanks Henry, is this consider a multiple linear regression? If I insert in data into irradiance, temperature and wind speed and apply multiple linear regression method I should be getting the 4 constants? Sorry if it does not make sense to you since I may be thinking/terming it incorrectly. $\endgroup$ – SunnyBoiz Feb 16 at 15:49

Welcome to the site.

The equation given is not a good starting example, as it involves multiple interactions.

Rather than a website, I suggest a course - either at a university or online. A second (and less optimal) suggestion would be a good book. It's been a while since I looked for a book on introduction to regression, but I do like e.g. Regression Analysis by Example by Chatterjee.

If you've never studied statistics at all, you should start with an introductory course or book. My favorite first book on statistics is Statistics by Freedman, Pisani and Purves.

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  • $\begingroup$ Thanks for your advice Peter. I am currently attending a university course but it is still 1 year before I start to seriously touch on these. I will really want to understand it, at least a portion of it, prior to learning it in school. Is it fine if you can expand on what you meant by multiple interactions? I assume this will be a multiple linear regression in this case? $\endgroup$ – SunnyBoiz Feb 16 at 15:23
  • $\begingroup$ You have one independent variable outside the parentheses. $\endgroup$ – Peter Flom Feb 16 at 23:01

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