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Correlation Analysis

Apple Inc. vs Packaging Corp of America

AAPL vs PKG

+0.864

Very strong 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

PKG logo

Packaging Corp of America

PKG

Packaging Corp. of America is the third-largest containerboard and corrugated packaging manufacturer in the United States. It produces over 5 million tons of containerboard annually. The company's share of the domestic containerboard market is roughly 10%. PCA differentiates itself from larger competitors by focusing on smaller customers and operating with a high degree of flexibility.

Market cap 18.3B · 16,800 employees

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

Time Series

Relative Performance

Green: AAPLGray: PKG36 of 1,254 points (sampled)

Who Moves First

AAPL leads PKG by 6 days

AAPL tends to move before PKG.

After testing 13 timing shifts, the strongest relationship was +0.864 (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

+0.122

13 periods · Return correlation when both series rose

Both Falling

+0.298

5 periods · Return correlation when both series fell

Diverging

-0.695

17 periods · Return correlation when series moved apart

R-Squared

74.6%

Share of variance in one series explained by the other.

Trend Agreement

58.4%

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: [0.849, 0.877]

Scatter

XY Regression

112.3120140160180200220240260280285.6110.2120140160180200220240255.1Apple Inc.Packaging Corp of AmericaData pointsFit (r = 0.864)

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

PKG logo

Packaging Corp of America

PKG

Market cap 18.3B · 16,800 employees

Stock · 1,254 raw → 1,254 prepared

Sign agreement

100.0%

How often both values share the same sign.

Zero crossings

81

Estimated crossover points between normalized spreads.

Slope

0.7244

Linear regression slope.

Intercept

32.4599

Linear regression intercept.

Related Extremes

Highest and Lowest Correlated

Saved 7 hours ago · ID: stock-aapl-vs-stock-pkg-daily-20260408-n5l7va