How to Perform Logarithmic Regression by Hand?

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SUMMARY

The discussion focuses on performing logarithmic regression by hand, specifically using the model y = b1 + b2ln(x). The participant is familiar with executing this regression in R but seeks a manual method. It is confirmed that this can be accomplished using the least squares method by transforming the variable x to x' = ln(x) and then conducting a linear regression of y against x'.

PREREQUISITES
  • Understanding of logarithmic functions and their properties
  • Familiarity with linear regression concepts
  • Knowledge of the least squares method
  • Basic skills in statistical analysis
NEXT STEPS
  • Practice performing linear regression using transformed variables
  • Study the least squares method in depth
  • Explore statistical software options for regression analysis, such as R
  • Learn about the implications of using logarithmic transformations in regression models
USEFUL FOR

Statisticians, data analysts, students in statistics courses, and anyone interested in understanding regression techniques and their manual calculations.

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I'm trying to write some code to do a regression on data weight (x) and time (y). As best as I can tell, the model should be y = b1 + b2ln(x), but I don't know how you can do this by hand (I know how to in R...). I also know how to do a simple linear regression by hand.

Can it be done using the least squares method?
 
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Well, this is a linear equation in x'=ln(x). So you could do a linear regression of y vs x'.
 

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