Arbitrum statistical analysis — returns, volatility, correlations, and regime metrics compared to Bitcoin and gold on CryptoDash. Arbitrum Analysis - CryptoDash
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Arbitrum analysis

Active baseline: bitcoin · 90d window

Comparison hierarchy

Macro layer (hard assets) and crypto layer (market beta) for Arbitrum.

Macro vs gold

ρ 0.011

β 0.027

R² 0.000

View vs gold
Crypto vs bitcoin

ρ 0.621

β 1.116

R² 0.385

View vs bitcoin

Normalized prices

Rebased to 100 at window start

Cumulative return

Percent change from window start

Descriptive statistics

vs bitcoin · 90 daily observations

Correlation (ρ)

0.621

Linear co-movement of daily returns with bitcoin.

Beta (β)

1.116

Return sensitivity to bitcoin. β = 1 moves in step; <1 less amplified; >1 more amplified.

R²

0.385

Share of Arbitrum's daily variation explained by bitcoin (0–1).

Inferential statistics

Two-tailed tests on the selected 90d window — not a forecast.

Correlation p-value: 0.0000 — statistically significant at 95% (historical window only)

95% CI: [0.474, 0.734]

Beta p-value: 0.0000 — statistically significant at 95% (historical window only)

95% CI: [0.817, 1.414]

Regression F-test: F = 54.501, p = 0.0000 — model significant at 95%

Regime independence (2×2 up/down): χ² = 14.991, p = 0.0001 — up/down days not independent at 95%

Variance ratio F-test: F = 3.232, p = 0.0000

Disclaimer: All statistics describe the selected historical window only. They quantify patterns in past daily returns and do not predict future prices, events, or trading outcomes. This is not financial advice.