{"uid":"cap_CI3RaSK0KCNu0FJsPZDMP","slug":"gdp-per-capita-benchmark-correlation-calculator-03c11b92","name":"GDP per Capita Benchmark Correlation Calculator","description":"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.","url":"https://market.datapackvibe.com/x402/assistant-finance-gdp-per-capita-correlation?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"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}}},"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_N6B8c_3wXtX-4Qc3hCLS1","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 computed GDP-per-capita values and user-supplied benchmark figures, returning the formula, units, and limitations in JSON.","exampleAgentPrompt":"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.","exampleUseCases":[{"title":"Country GDP per capita vs IMF benchmark","prompt":"I have GDP and population figures for 5 countries — GDPs are 500000000, 750000000, 1200000000, 300000000, 900000000 and populations are 1000000, 1500000, 2000000, 800000, 1800000. My benchmarks are 520, 510, 600, 385, 505. Can you run a Pearson correlation between their GDP per capita and those benchmark values and tell me the formula and any limitations?"},{"title":"Regional economic alignment check","prompt":"I want to see how well GDP per capita tracks a regional development index. Here are my GDP and population rows: [(2000000,2000),(3000000,2500),(4000000,3000),(3500000,2800)] and my benchmark index values are 45, 62, 78, 71. Calculate the Pearson correlation for me and return the result with units and caveats."},{"title":"Academic research correlation validation","prompt":"For my research paper I need a Pearson correlation report between GDP per capita computed from these figures — GDPs 100000,200000,150000 and populations 500,900,700 — and my supplied benchmark series 180, 230, 205. Please include the formula, units, and limitations in the output."}],"resultDescription":"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).","failureModes":["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)"],"whenToPreferThis":"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).","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-18T00:58:32.100Z","isFirstParty":false,"canonicalSlug":"gdp-per-capita-benchmark-correlation-calculator-03c11b92"}