Correlation Analysis
Apple Inc. vs PAYEMS
AAPL vs PAYEMS
+0.754
Strong 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
PAYEMS
PAYEMS
Time Series
Relative Performance
Who Moves First
AAPL leads PAYEMS by 6 months
AAPL tends to move before PAYEMS.
After testing 13 timing shifts, the strongest relationship was +0.762 (they moved in the same direction).
Stability
Rolling Correlation
How the correlation evolves over time. A stable line means the relationship is reliable; large swings signal regime-dependent behavior.
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
-0.459
17 periods · Return correlation when both series rose
Both Falling
N/A
1 periods · Return correlation when both series fell
Diverging
-0.160
17 periods · Return correlation when series moved apart
R-Squared
56.8%
Share of variance in one series explained by the other.
Trend Agreement
52.5%
How often both series moved in the same direction period-to-period.
Overlap Quality
60
Thin shared window — 60 usable pairs.
Significance
p < 0.001
95% CI: [0.618, 0.846]
Scatter
XY Regression
Pipeline
Data quality details
Pipeline
Data quality details
Pipeline Summary
60 paired data points survived the monthly window.
Raw input
1,254
1,047
Normalized
1,254
1,047
Prepared
61
1,047
Aligned
60
60
Invalid removed
0
A: 0 / B: 0
Duplicates removed
0
A: 0 / B: 0
Alignment drops
988
A: 1 / B: 987
Series A
Apple Inc.
AAPL
Market cap 3.8T
Stock · 1,254 raw → 61 prepared
Series B
PAYEMS
FRED · 1,047 raw → 1,047 prepared
Sign agreement
100.0%
How often both values share the same sign.
Zero crossings
1
Estimated crossover points between normalized spreads.
Slope
74.1091
Linear regression slope.
Intercept
140987.1096
Linear regression intercept.
Related Extremes
Highest and Lowest Correlated
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