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Total sum of squares — R Squared from Sums of Squares Calculator

R Squared from Sums of Squares: Calculate total sum of squares from R squared percentage, Residual sum of squares. Check the formula, input units and worked result on this page.

Enter your values

%
Formula symbol: r. Enter the percentage as a number: for 15%, enter 15. Allowed range: -1,000,000–100.
Formula symbol: sse. Enter a numeric value. Use a non-negative value.

Use a decimal point, without thousands separators.

SSE and SST need the same data and evaluation basis. Negative R squared is possible; it is shown as a percentage and is not always squared correlation.
Example result
Total sum of squares
40

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

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How it works

Residual sum of squares is compared with total sum of squares around the mean. This form solves for total sum of squares; enter the known quantities in R squared percentage, Residual sum of squares.

Inputs and units
Total sum of squares — R Squared from Sums of Squares Calculator · Inputs and units
InputExample valueWhat to enter
R squared percentage75 %Formula symbol: r. Enter the percentage as a number: for 15%, enter 15. Allowed range: -1,000,000–100.
Residual sum of squares10Formula symbol: sse. Enter a numeric value. Use a non-negative value.
sst = ((100 * sse) / (100 - r))

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.

R squared percentage
75 %
Residual sum of squares
10

Complete example results

Total sum of squares
40

Reading the result

The result solves for total sum of squares 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 total sum of squares result?

SSE and SST need the same data and evaluation basis. Negative R squared is possible; it is shown as a percentage and is not always squared correlation.

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: itl.nist.gov

Methods & accuracy

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