{"uid":"cap_9hz4lzqQybEZxwCAo8-zY","slug":"labour-force-participation-benchmark-correlation-calculator-ef720398","name":"Labour Force Participation Benchmark Correlation Calculator","description":"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.","url":"https://market.datapackvibe.com/x402/assistant-finance-labour-participation-correlation?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"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}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_tfzHn3ibWZCMLF_Snmo3W","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates Pearson correlation between labour force participation rates and user-supplied benchmark figures, returning a JSON report with formula, units, and limitations.","exampleAgentPrompt":"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?","exampleUseCases":[{"title":"Policy analyst benchmarking participation trends","prompt":"I have quarterly labour force data for the past two years — pairs of labour force counts and eligible population sizes — and a benchmark index series of the same length. Can you run a Pearson correlation between the participation rates and my benchmark values and return the formula, units, and any limitations?"},{"title":"Economist comparing workforce to GDP growth series","prompt":"I want to check how closely our regional labour force participation aligns with a GDP growth benchmark. Here are 8 data rows with labour_force and eligible_population figures, and 8 corresponding benchmark values. Please compute the Pearson correlation and explain the formula used."},{"title":"HR researcher validating participation against industry index","prompt":"We track monthly labour force participation across 12 periods — each row has a labour_force number and eligible_population — and I have an industry benchmark index for those same 12 months. Can you calculate the Pearson correlation between our participation rates and the benchmark and tell me the limitations of the result?"}],"resultDescription":"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).","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-18T12:56:35.445Z","isFirstParty":false,"canonicalSlug":"labour-force-participation-benchmark-correlation-calculator-ef720398"}