# Labour Force Participation Benchmark Correlation Calculator

> Labour Force Participation 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 labour force participation rates and user-supplied benchmark figures, returning a JSON report with formula, units, and limitations.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-finance-labour-participation-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/labour-force-participation-benchmark-correlation-calculator-ef720398
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_9hz4lzqQybEZxwCAo8-zY

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 labour-force-participation-benchmark-correlation-calculator-ef720398 -d '<json body>'
```

Example prompt: Can you calculate the Pearson correlation between these labour force participation data points — rows of labour_force and eligible_population values like (1000, 1500), (1100, 1650), (950, 1480), (1200, 1700) — against my benchmark series [10, 20, 30, 40] and give me the correlation report with formula and limitations?

## When to prefer this

Choose this endpoint when you need a quick, bounded Pearson correlation report between labour force participation rates (computed from labour_force and eligible_population pairs) and any externally supplied benchmark series, without requiring live data feeds, causal inference, or financial advice. Ideal for policy analysts, economists, or researchers who have their own cleaned data and want a statistically rigorous correlation metric with transparent formula and limitations disclosure for a flat $0.01 USDC fee.

## Known failure modes

- Fewer than 2 rows or benchmark values provided — minimum items validation error
- Row count and benchmark array length mismatch — misaligned series
- eligible_population of zero or below — exclusiveMinimum violation
- Values exceeding maximum bounds (1e12 for population/labour, 1e18 for benchmarks) — validation error
- Non-numeric values in rows or benchmarks — type validation failure

## How this service works

Labour force participation - Benchmark correlation: Calculate Pearson correlation against aligned supplied benchmarks; no causal or predictive claim. Metric: Labour force participation. 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 computed Pearson correlation coefficient between the derived labour force participation rates and the supplied benchmark series, along with the mathematical formula used, units of measurement, and explicit limitations (no causal or predictive claims, no live data).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "rows": {
   "type": "array",
   "items": {
    "type": "object",
    "required": [
     "labour_force",
     "eligible_population"
    ],
    "properties": {
     "labour_force": {
      "type": "number",
      "default": 1000,
      "maximum": 1000000000000,
      "minimum": 0,
      "description": "Amount in a consistent supplied currency and reporting period"
     },
     "eligible_population": {
      "type": "number",
      "default": 1500,
      "maximum": 1000000000000,
      "minimum": 0,
      "description": "Amount in a consistent supplied currency and reporting period",
      "exclusiveMinimum": 0
     }
    },
    "additionalProperties": false
   },
   "default": [
    {
     "labour_force": 1000,
     "eligible_population": 1500
    },
    {
     "labour_force": 1100,
     "eligible_population": 1650.0000000000002
    },
    {
     "labour_force": 1000,
     "eligible_population": 1500
    },
    {
     "labour_force": 1100,
     "eligible_population": 1650.0000000000002
    }
   ],
   "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/labour-force-participation-benchmark-correlation-calculator-ef720398/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
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