Correlation Analysis
Apple Inc. vs Paychex Inc
AAPL vs PAYX
+0.284
Light positive
When one moves up, the other tends to follow.
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
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
Time Series
Relative Performance
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
Pipeline
Data quality details
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
Apple Inc.
AAPL
Market cap 3.8T
Stock · 1,254 raw → 1,254 prepared
Series B
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