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Interactive Log/Log & Log/Linear Graphs

Function: \( y = x \)
Log‑transformed form: \( \log(y) = \log(x) \)
Regression results:
Theoretical slope/intercept
Fitted slope/intercept
R² value
Colour Guide
Blue (solid): main function
Red (solid): regression line in transformed space
Red (dashed): regression curve mapped back to raw space
Grey (thin): gridlines (linear or log depending on axis)
Dark grey: axes at x = 1 and y = 1
How to Use This Graph
• Choose a function using the buttons above.
• Adjust parameters (a, p, b) with the sliders.
• Change the axis type to see when the graph becomes a straight line.
• The three equation boxes show the function, its log form, and regression results.
• The blue curve is the function; red lines show regression behaviour.
• The table below lists sample points and their logarithms.

Sample points

xylog₁₀(x)log₁₀(y)

© Alexander Forrest