Correlation Beta

{
  "alphaAnnualizedSimplePct": -16.90290965,
  "alphaPerPeriod": -0.0006707503828,
  "asOf": "2026-10-12T00:57:39.306Z",
  "beta": 1.401225115,
  "correlation": 0.9957842227,
  "covariance": 0.000122,
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "educationalOnly": "Educational arithmetic on the numbers you supplied. Not investment advice: it does not say what to buy, sell, hold or how much to risk, and a supplied or past series does not predict the future.",
  "inputKind": "returns",
  "lowSample": true,
  "notChecked": [
    "whether the two series cover the same dates and frequency: only their order and length are compared",
    "stability of beta over time, non-linear relationships and outliers",
    "…1 more"
  ],
  "observations": 6,
  "rSquared": 0.9915862182,
  "reasons": [
    "Pearson correlation = covariance / (sd a * sd b); beta = covariance(a, b) / variance(b), the slope of a regressed on b.",
    "Alpha per period = mean(a) - beta * mean(b): the regression intercept, with no risk-free rate subtracted.",
    "…1 more"
  ],
  "source": "computed locally",
  "summary": "Correlation 0.9957842227, beta 1.401225115 of a on b over 6 paired returns (R-squared 0.9915862182).",
  "verdict": "STRONG_POSITIVE",
  "volatilityAPeriod": 0.01313011805,
  "volatilityBPeriod": 0.009330952077
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://portfolio-stats.x402tookit.com/correlation-beta?a=%5B0.012%2C-0.008%2C0.02%2C0.005%2C-0.015%2C0.01%5D&b=%5B0.01%2C-0.005%2C0.015%2C0.004%2C-0.01%2C0.006%5D&kind=returns'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://portfolio-stats.x402tookit.com/correlation-beta?a=%5B0.012%2C-0.008%2C0.02%2C0.005%2C-0.015%2C0.01%5D&b=%5B0.01%2C-0.005%2C0.015%2C0.004%2C-0.01%2C0.006%5D&kind=returns' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fportfolio-stats.x402tookit.com%2Fcorrelation-beta
const res = await pay("https://portfolio-stats.x402tookit.com/correlation-beta?a=%5B0.012%2C-0.008%2C0.02%2C0.005%2C-0.015%2C0.01%5D&b=%5B0.01%2C-0.005%2C0.015%2C0.004%2C-0.01%2C0.006%5D&kind=returns");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://portfolio-stats.x402tookit.com/correlation-beta?a=%5B0.012%2C-0.008%2C0.02%2C0.005%2C-0.015%2C0.01%5D&b=%5B0.01%2C-0.005%2C0.015%2C0.004%2C-0.01%2C0.006%5D&kind=returns")
    print(res.status_code, res.text)