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Correlation Analysis

Eli Lilly & Co. vs Paychex Inc

LLY vs PAYX

+0.293

Light positive

When one moves up, the other tends to follow.

LLY logo

Eli Lilly & Co.

LLY

Eli Lilly is a drug firm with a focus on neuroscience, cardiometabolic, cancer, and immunology. Lilly's key products include Verzenio for cancer; Mounjaro, Zepbound, Jardiance, Trulicity, Humalog, and Humulin for cardiometabolic; and Taltz and Olumiant for immunology.

Market cap 828.2B · 50,000 employees

PAYX logo

Paychex Inc

PAYX

Paychex is a technology company providing human capital management solutions, enabling clients to better implement payroll, talent, time, tax, and benefits administration. It has a diverse set of product offerings addressing client needs. Aside from its traditional cloud-based payroll and HCM software offering, which accounts for close to half of total revenue, the company provides outsourcing options. Paychex's administrative service organization and professional employer organization accounts generate over 40% of sales. The balance of revenue is generated through retirement services, insurance solutions, and other products. In fiscal 2025, the company had 800,000 clients and almost 2.5 million worksite employees across its ASO and PEO.

Market cap 32.9B · 19,000 employees

Apr 9, 2021 — Apr 7, 2026Daily1,254 data pointsStockStockHealthcare

Time Series

Relative Performance

Green: LLYGray: PAYX36 of 1,254 points (sampled)

Who Moves First

PAYX leads LLY by 6 days

PAYX tends to move before LLY.

After testing 13 timing shifts, the strongest relationship was +0.304 (they moved in the same direction).

Do They Crash Together?

Correlation by Market Regime

How these series behave when markets are rising, falling, or diverging. A correlation that holds in drawdowns is very different from one that only works in rallies.

Both Rising

+0.091

11 periods · Return correlation when both series rose

Both Falling

-0.709

7 periods · Return correlation when both series fell

Diverging

-0.326

17 periods · Return correlation when series moved apart

R-Squared

8.6%

Share of variance in one series explained by the other.

Trend Agreement

59.1%

How often both series moved in the same direction period-to-period.

Overlap Quality

1,254

Deep shared window — 1,254 usable pairs.

Significance

p < 0.001

95% CI: [0.241, 0.342]

Scatter

XY Regression

1142004006008001,0001,14286.4100120140160162.2Eli Lilly & Co.Paychex IncData pointsFit (r = 0.293)

Pipeline

Data quality details

Pipeline Summary

1,254 paired data points survived the daily window.

Raw input

1,254

1,254

Normalized

1,254

1,254

Prepared

1,254

1,254

Aligned

1,254

1,254

Invalid removed

0

A: 0 / B: 0

Duplicates removed

0

A: 0 / B: 0

Alignment drops

0

A: 0 / B: 0

Series A

LLY logo

Eli Lilly & Co.

LLY

Market cap 828.2B · 50,000 employees

Stock · 1,254 raw → 1,254 prepared

Series B

PAYX logo

Paychex Inc

PAYX

Market cap 32.9B · 19,000 employees

Stock · 1,254 raw → 1,254 prepared

Sign agreement

100.0%

How often both values share the same sign.

Zero crossings

9

Estimated crossover points between normalized spreads.

Slope

0.0153

Linear regression slope.

Intercept

113.9483

Linear regression intercept.

Related Extremes

Highest and Lowest Correlated

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