Pearson correlation API

Returns the Pearson correlation coefficient plus means, covariance and a strength label for two equal-length vectors. Answers 'How correlated are these two vectors?', 'What is the Pearson r between a and b?'.

Price$0.01per request

MethodPOST

Route/v1/retrieval/pearson-correlation

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

pearsoncorrelationcovariancevectorstatisticssimilarityretrievalrag

API URLhttps://x402.hexl.dev/v1/retrieval/pearson-correlation

Integration docs

Example request

{
  "a": [
    1,
    2,
    3,
    4
  ],
  "b": [
    2,
    4,
    5,
    8
  ]
}

Example response

{
  "pearson": 0.98115578,
  "meanA": 2.5,
  "meanB": 4.75,
  "covariance": 2.375,
  "n": 4,
  "interpretation": "strong",
  "formula": "cov(a,b) / (std(a)*std(b))"
}

Input schema

{
  "type": "object",
  "required": [
    "a",
    "b"
  ],
  "properties": {
    "a": {
      "type": "array",
      "items": {
        "type": "number"
      }
    },
    "b": {
      "type": "array",
      "items": {
        "type": "number"
      }
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}