Description
Measure a sequence term's signed prediction residual.
Sequence calculations depend on the reference index, common difference or ratio, and whether a domain uses exact integers or real-valued arithmetic. Alternation depends on index parity; modular arithmetic chooses a representative in a fixed residue interval. A supplied local rule is not discovered from data and need not establish a complete recurrence or prediction model.
Measure a sequence term's signed prediction residual.
When to use this tool
Use Sequence Term Prediction Residual when you already have predictedTerm, observedTerm and need to measure a sequence term's signed prediction residual.
How to use the tool and how it works
- Enter predictedTerm, observedTerm. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read signedGap. Use the output convention below.
Return observedTerm-predictedTerm on one common numeric basis.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| predictedTerm | Predicted Term | Required. Finite number. |
| observedTerm | Observed Term | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| signedGap | Signed Gap | Required. Finite number. |
{
"input": {
"predictedTerm": 12,
"observedTerm": 17
},
"output": {
"signedGap": 5
}
}Limitations and assumptions
- No sequence law, fit, prediction uncertainty or forecast is inferred.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the complete sequence definition and initial conditions for recurrence analysis. Choose exact integer or rational arithmetic when large indices or exact terms matter; local reference shifts and residue operations do not discover a generating rule.
References
Similar or alternative tools
- Geometric Sequence Reference Index Shift
Rebase a geometric-sequence term to a supplied index.
- Arithmetic Sequence Reference Index Shift
Rebase an arithmetic-sequence term using a supplied common difference.