# Numora Statistics Correlation Endpoint

> Numora Statistics Correlation Endpoint is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.03/call, status unknown (last checked 2026-09-14).

Computes the statistical correlation coefficient between two numeric arrays

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/statistics/correlation
- Price: $0.03/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-statistics-correlation-endpoint-70993e78
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_7JnF_xRyHO0c5LwxICJa7

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-statistics-correlation-endpoint-70993e78 -d '<json body>'
```

Example prompt: What's the correlation between these two datasets — x: [10, 20, 30, 40, 50] and y: [12, 24, 28, 41, 55]? Use Numora's pure math API to get the exact correlation coefficient.

## When to prefer this

Choose this endpoint when you need a fast, dependency-free, server-side statistical correlation computation without setting up a local math library. Ideal for AI agents that need pure math results on-demand, especially when processing two parallel numeric datasets to measure their linear relationship. Prefer over general-purpose compute services when you want a simple, paid-per-call micropayment model with no API key management.

## Known failure modes

- Mismatched array lengths — x and y must have the same number of elements
- Empty arrays provided — computation requires at least two data points
- Non-numeric values in arrays causing type errors
- Arrays with zero variance (all identical values) causing division-by-zero in correlation formula
- Payment failure via x402 micropayment protocol blocks the request
- HTTP 402 returned if USDC payment is not completed before processing

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a boolean success flag, a result object containing the computed correlation coefficient between the two input arrays, and a human-readable computation description string explaining what was calculated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "x",
  "y"
 ],
 "properties": {
  "x": {
   "type": "array"
  },
  "y": {
   "type": "array"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-statistics-correlation-endpoint-70993e78/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)