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MATH / REGRESSION

Linear Regression from Sums Calculator

Fit a least-squares line from count and aggregate paired-data sums. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Fit a least-squares line from count and aggregate paired-data sums. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

b_1=[n sum(xy)-sum(x)sum(y)]/[n sum(x^2)-(sum x)^2]

What you provide

What you provide

  • Paired observation count, using the same scenario as the other inputs
  • Sum of x values, using the same scenario as the other inputs
  • Sum of y values, using the same scenario as the other inputs
  • Sum of squared x values, using the same scenario as the other inputs
  • Sum of paired products, using the same scenario as the other inputs

What you receive

What you receive

  • Regression slope from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Interpret the result only when the sampling design, independence, distribution, and measurement assumptions fit the data.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors