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Unadjusted R squared — Adjusted R Squared Calculator

Adjusted R Squared: Calculate unadjusted r squared from Adjusted R squared, Observation count, Predictor count. Check the formula, input units and worked result on this page.

Enter your values

%
Formula symbol: adjusted. Enter the percentage as a number: for 15%, enter 15. Allowed range: -1,000,000–100.
Formula symbol: n. Enter a numeric value. Use a whole number. Must be greater than zero.
Formula symbol: predictors. Enter a numeric value. Use a whole number. Must be greater than zero.

Use a decimal point, without thousands separators.

n must exceed predictor count plus one; the intercept is not counted as a predictor. Solving sample size holds R squared fixed as a planning assumption and rounds n up.
Example result
Unadjusted R squared
75 %

The initial result uses the example values. Enter your own values and calculate again.

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How it works

For a regression with intercept, R squared is adjusted using observation and predictor counts. This form solves for unadjusted r squared; enter the known quantities in Adjusted R squared, Observation count, Predictor count.

Inputs and units
Unadjusted R squared — Adjusted R Squared Calculator · Inputs and units
InputExample valueWhat to enter
Adjusted R squared73.14814814814815 %Formula symbol: adjusted. Enter the percentage as a number: for 15%, enter 15. Allowed range: -1,000,000–100.
Observation count30Formula symbol: n. Enter a numeric value. Use a whole number. Must be greater than zero.
Predictor count2Formula symbol: predictors. Enter a numeric value. Use a whole number. Must be greater than zero.
r = (100 - (((100 - adjusted) * ((n - predictors) - 1)) / (n - 1)))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Adjusted R squared
73.14814814814815 %
Observation count
30
Predictor count
2

Complete example results

Unadjusted R squared
75 %

Reading the result

The result solves for unadjusted r squared from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the unadjusted r squared result?

n must exceed predictor count plus one; the intercept is not counted as a predictor. Solving sample size holds R squared fixed as a planning assumption and rounds n up.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: online.stat.psu.edu

Methods & accuracy

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