# Price Index Inflation Rate – Benchmark Correlation Calculator

> Price Index Inflation Rate – 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 the Pearson correlation between computed price-index inflation rates and user-supplied benchmark values, returning a JSON report with formula, units, and stated limitations.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-finance-inflation-change-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/price-index-inflation-rate-benchmark-correlation-calculator-d2a2b82e
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_A4cgsPYgrmkDJKJ8JLiRe

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 price-index-inflation-rate-benchmark-correlation-calculator-d2a2b82e -d '<json body>'
```

Example prompt: I have four periods of price index data — (100→110), (110→121), (100→110), (110→121) — and benchmark values of 10, 20, 30, 40. Can you calculate the Pearson correlation between the resulting inflation rates and those benchmarks and give me the formula, units, and any limitations?

## When to prefer this

Choose this endpoint when you need a quick, statistically grounded Pearson correlation between a set of price-index-derived inflation rates and an externally supplied benchmark series, and you only have user-provided figures (no live data feed required). It is ideal for offline analysis, research cross-checks, or portfolio analytics where you want a documented formula and explicit limitation disclosure in the output. Prefer alternatives if you need live CPI data retrieval, causal modeling, predictive forecasting, or financial advice.

## Known failure modes

- Fewer than 2 rows or benchmark values provided — request rejected (minItems violation)
- Mismatched array lengths between rows and benchmarks may produce unexpected correlation results
- Zero-variance series (all identical inflation rates or benchmarks) causes undefined Pearson correlation
- current_index or previous_index equal to zero rejected (exclusiveMinimum:0)
- Values exceeding maximum bounds (1e12) rejected with validation error
- Malformed JSON body returns HTTP 4xx error

## How this service works

Price index inflation rate - Benchmark correlation: Calculate Pearson correlation against aligned supplied benchmarks; no causal or predictive claim. Metric: Price index inflation rate. 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 inflation rates and the supplied benchmark values, along with the mathematical formula used, units of measurement, and explicit limitations (no causal inference, no predictive claims, no live data).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "rows": {
   "type": "array",
   "items": {
    "type": "object",
    "required": [
     "current_index",
     "previous_index"
    ],
    "properties": {
     "current_index": {
      "type": "number",
      "default": 110,
      "maximum": 1000000000000,
      "minimum": 0,
      "description": "Amount in a consistent supplied currency and reporting period",
      "exclusiveMinimum": 0
     },
     "previous_index": {
      "type": "number",
      "default": 100,
      "maximum": 1000000000000,
      "minimum": 0,
      "description": "Amount in a consistent supplied currency and reporting period",
      "exclusiveMinimum": 0
     }
    },
    "additionalProperties": false
   },
   "default": [
    {
     "current_index": 110,
     "previous_index": 100
    },
    {
     "current_index": 121.00000000000001,
     "previous_index": 110.00000000000001
    },
    {
     "current_index": 110,
     "previous_index": 100
    },
    {
     "current_index": 121.00000000000001,
     "previous_index": 110.00000000000001
    }
   ],
   "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/price-index-inflation-rate-benchmark-correlation-calculator-d2a2b82e/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)