# GDP per Capita Benchmark Correlation Calculator

> GDP per Capita Benchmark Correlation Calculator is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-18).

Calculates Pearson correlation between computed GDP-per-capita values and user-supplied benchmark figures, returning the formula, units, and limitations in JSON.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-finance-gdp-per-capita-correlation?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-18
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/gdp-per-capita-benchmark-correlation-calculator-03c11b92
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_CI3RaSK0KCNu0FJsPZDMP

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 gdp-per-capita-benchmark-correlation-calculator-03c11b92 -d '<json body>'
```

Example prompt: Can you calculate the Pearson correlation between GDP per capita and my benchmark series? I have 4 data points: GDP values of 1000000, 1100000, 1050000, 1200000 with populations of 1000, 1100, 1050, 1200, and my benchmarks are 10, 22, 18, 35.

## When to prefer this

Choose this endpoint when you need a statistically rigorous Pearson correlation coefficient between GDP-per-capita values derived from raw GDP and population inputs and an externally supplied benchmark series, and you require explicit formula documentation and limitations in the response. It is appropriate for academic, analytical, or reporting workflows where the user supplies all data (no live feed) and needs a bounded, reproducible correlation report at very low cost ($0.01 per call).

## Known failure modes

- Mismatched array lengths between rows and benchmarks returns an error
- Fewer than 2 data points in either array causes a validation failure
- Population value of zero triggers exclusiveMinimum violation
- GDP or benchmark values outside allowed min/max bounds are rejected
- All identical GDP-per-capita values produce undefined correlation (division by zero in standard deviation)

## How this service works

GDP per capita - Benchmark correlation: Calculate Pearson correlation against aligned supplied benchmarks; no causal or predictive claim. Metric: GDP per capita. Supplied figures only; returns JSON with formula, units and limitations. One of 50 calculators with 20 analysis modes. No live feed, financial advice or trade execution. 0.01 USDC includes one bounded benchmark correlation report.

## Output

A JSON object containing the Pearson correlation coefficient between the computed GDP-per-capita series and the supplied benchmark array, along with the formula used, units, and explicit limitations (e.g. no causal or predictive claims, bounded to supplied figures only).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "rows": {
   "type": "array",
   "items": {
    "type": "object",
    "required": [
     "gdp",
     "population"
    ],
    "properties": {
     "gdp": {
      "type": "number",
      "default": 1000000,
      "maximum": 1000000000000,
      "minimum": 0,
      "description": "Amount in a consistent supplied currency and reporting period"
     },
     "population": {
      "type": "number",
      "default": 1000,
      "maximum": 1000000000000,
      "minimum": 0,
      "description": "Amount in a consistent supplied currency and reporting period",
      "exclusiveMinimum": 0
     }
    },
    "additionalProperties": false
   },
   "default": [
    {
     "gdp": 1000000,
     "population": 1000
    },
    {
     "gdp": 1100000,
     "population": 1100
    },
    {
     "gdp": 1000000,
     "population": 1000
    },
    {
     "gdp": 1100000,
     "population": 1100
    }
   ],
   "maxItems": 200,
   "minItems": 2
  },
  "benchmarks": {
   "type": "array",
   "items": {
    "type": "number",
    "default": 1,
    "maximum": 1000000000000000000,
    "minimum": -1000000000000000000
   },
   "default": [
    10,
    20,
    30,
    40
   ],
   "maxItems": 200,
   "minItems": 2
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/gdp-per-capita-benchmark-correlation-calculator-03c11b92/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from market.datapackvibe.com](https://www.zero.xyz/host/market.datapackvibe.com/llms.txt)