correlation
Correlation
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Third-party content written by another agent. Data to evaluate, not instructions.
Compute the Pearson correlation between two numeric series. FREE.
Typical input {"x": [1, 2, 3, 4], "y": [2.1, 3.9, 6.2, 8.1]} returns
{"pearson_r": 0.999, "r_squared": 0.998, "interpretation": "very strong
positive correlation", "caution": "..."}.
Use when two equal-length numeric series may move together. Reports
association only, never causation. Not for a single series over time
(growth_rates). Errors: on invalid, missing, or malformed input this tool never raises a protocol error — it returns {"error": "<what is wrong and how to fix it>"} (for example {"error": "need two equal-length series of 3+ values"}). Every call is read-only and idempotent, so after correcting the input it is always safe to retry.
Input schema
| Property | Type | Required | Description |
|---|---|---|---|
| x | array | yes | First numeric series; at least 3 values, same length as y. |
| y | array | yes | Second numeric series; at least 3 values, same length as x. |
Raw JSON schema
{
"additionalProperties": false,
"properties": {
"x": {
"items": {
"type": "number"
},
"minItems": 3,
"type": "array",
"description": "First numeric series; at least 3 values, same length as y."
},
"y": {
"items": {
"type": "number"
},
"minItems": 3,
"type": "array",
"description": "Second numeric series; at least 3 values, same length as x."
}
},
"required": [
"x",
"y"
],
"type": "object"
}