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Correlation Analysis

Apple Inc. vs Paychex Inc

AAPL vs PAYX

+0.284

Light positive

When one moves up, the other tends to follow.

AAPL logo

Apple Inc.

AAPL

Apple is among the largest companies in the world, with a broad portfolio of hardware and software products targeted at consumers and businesses. Apple's iPhone makes up a majority of the firm sales, and Apple's other products like Mac, iPad, and Watch are designed around the iPhone as the focal point of an expansive software ecosystem. Apple has progressively worked to add new applications, like streaming video, subscription bundles, and augmented reality. The firm designs its own software and semiconductors while working with subcontractors like Foxconn and TSMC to build its products and chips. Slightly less than half of Apple's sales come directly through its flagship stores, with a majority of sales coming indirectly through partnerships and distribution.

Market cap 3.8T

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 pointsStockStockTechnology

Time Series

Relative Performance

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

Who Moves First

PAYX leads AAPL by 6 days

PAYX tends to move before AAPL.

After testing 13 timing shifts, the strongest relationship was +0.290 (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

-0.344

10 periods · Return correlation when both series rose

Both Falling

-0.023

10 periods · Return correlation when both series fell

Diverging

-0.732

15 periods · Return correlation when series moved apart

R-Squared

8.1%

Share of variance in one series explained by the other.

Trend Agreement

62.3%

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: [0.233, 0.334]

Scatter

XY Regression

112.3120140160180200220240260280285.686.4100120140160162.2Apple Inc.Paychex IncData pointsFit (r = 0.284)

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

AAPL logo

Apple Inc.

AAPL

Market cap 3.8T

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

43

Estimated crossover points between normalized spreads.

Slope

0.0988

Linear regression slope.

Intercept

104.0172

Linear regression intercept.

Related Extremes

Highest and Lowest Correlated

Saved 5 hours ago · ID: stock-aapl-vs-stock-payx-daily-20260408-cdg2e7