What is the Linear Regression Calculator?
Fit a simple linear regression line to paired X and Y observations. ITS Research Solution keeps the interactive tool above the explanation so you can calculate first and then review the method used.
Formula or method
ŷ = a + bx, where b = Σ[(x−x̄)(y−ȳ)] / Σ[(x−x̄)²].
How to use this tool
Enter the requested values using consistent units, run the calculation and review the main result plus any supporting values. The tool reports slope, intercept, Pearson r and R².
Interpretation and limitations
Simple linear regression requires appropriate assumptions for inferential use beyond descriptive fitting. Always check source data, units, rounding and discipline-specific requirements before using a result in assessed, published, regulated or high-stakes work.
Frequently asked questions
How is this result calculated?
u0177 = a + bx, where b = u03a3[(xu2212xu0304)(yu2212u0233)] / u03a3[(xu2212xu0304)u00b2].
Can I use this result in formal academic or research work?
Use it as a transparent calculation aid, then verify the assumptions, units, rounding and any institution-, journal- or field-specific requirements before formal use.