# Return Processing Cost Per Case – Benchmark Correlation

> Return Processing Cost Per Case – Benchmark Correlation is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-15).

Computes benchmark correlation between retail return processing cost per case (labour, postage, other costs) and supplied benchmark values across up to 200 records.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-ar-retail-return-processing-cost-correlation?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/return-processing-cost-per-case-benchmark-correlation-eda7ea70
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_C3tiTXFZ17rDKC4PGaVvZ

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 return-processing-cost-per-case-benchmark-correlation-eda7ea70 -d '<json body>'
```

Example prompt: I have 4 rows of retail returns data — labour costs of 100, 110, 100, 110; postage costs of 50, 55, 50, 55; other costs of 20, 22, 20, 22; and processed returns of 10, 11, 10, 11 — can you run a benchmark correlation report against the reference values 10, 20, 30, 40?

## When to prefer this

Use this endpoint when you need to statistically correlate retail returns processing cost-per-case data against a provided benchmark series, specifically within a retail operations context and with datasets up to 200 records. It is purpose-built for return processing cost analytics and is more targeted than a generic correlation tool.

## Known failure modes

- Fewer than 2 rows supplied — minimum array length not met
- Fewer than 2 benchmark values supplied — minimum benchmark array length not met
- processed_returns value of zero — excluded by exclusiveMinimum constraint causing division by zero
- Numeric values exceeding maximum bounds cause validation errors
- More than 200 rows or benchmarks supplied — maxItems exceeded
- Missing required fields (labour_cost, postage_cost, other_cost, processed_returns) in any row

## How this service works

Return processing cost per case - Benchmark correlation: Benchmark correlation for Return processing cost per case. Supplied retail figures only, up to 200 records. No platform access, live rates or order execution. One of 25 new profiles across 20 shared operations in this industry. 0.01 USDC includes one bounded benchmark correlation report.

## Output

A bounded benchmark correlation report showing the statistical correlation between the computed return processing cost per case (derived from labour, postage, and other costs divided by processed returns) and the supplied benchmark series, across up to 200 input records.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "rows": {
   "type": "array",
   "items": {
    "type": "object",
    "required": [
     "labour_cost",
     "postage_cost",
     "other_cost",
     "processed_returns"
    ],
    "properties": {
     "other_cost": {
      "type": "number",
      "default": 20,
      "maximum": 1000000000000,
      "minimum": 0
     },
     "labour_cost": {
      "type": "number",
      "default": 100,
      "maximum": 1000000000000,
      "minimum": 0
     },
     "postage_cost": {
      "type": "number",
      "default": 50,
      "maximum": 1000000000000,
      "minimum": 0
     },
     "processed_returns": {
      "type": "number",
      "default": 10,
      "maximum": 1000000000000,
      "minimum": 0,
      "exclusiveMinimum": 0
     }
    },
    "additionalProperties": false
   },
   "default": [
    {
     "other_cost": 20,
     "labour_cost": 100,
     "postage_cost": 50,
     "processed_returns": 10
    },
    {
     "other_cost": 22,
     "labour_cost": 110.00000000000001,
     "postage_cost": 55.00000000000001,
     "processed_returns": 11
    },
    {
     "other_cost": 20,
     "labour_cost": 100,
     "postage_cost": 50,
     "processed_returns": 10
    },
    {
     "other_cost": 22,
     "labour_cost": 110.00000000000001,
     "postage_cost": 55.00000000000001,
     "processed_returns": 11
    }
   ],
   "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/return-processing-cost-per-case-benchmark-correlation-eda7ea70/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)