How it works
Residual sum of squares is compared with total sum of squares around the mean. This form solves for residual sum of squares; enter the known quantities in R squared percentage, Total sum of squares.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| R squared percentage | 75 % | Formula symbol: r. Enter the percentage as a number: for 15%, enter 15. Allowed range: -1,000,000–100. |
| Total sum of squares | 40 | Formula symbol: sst. Enter a numeric value. Must be greater than zero. |
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 %
- Total sum of squares
- 40
Complete example results
- Residual sum of squares
- 10
Reading the result
The result solves for residual 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 residual 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