CalculatorCast

相関係数計算機

任意の(x, y)ペアに対するピアソンのrを計算。

はじめに

Correlation Coefficient — Pearson r for any set of (x, y) pairs. Enter Points (x,y per line) to get an instant, accurate result.

計算式

Pearson correlation coefficient r = (nΣxy − ΣxΣy) / √((nΣx² − (Σx)²)(nΣy² − (Σy)²)).

ステップごとの説明

  1. Enter the Points (x,y per line).
  2. Click Calculate to see your result instantly.

実例

Example: With the defaults shown above, the Correlation Coefficient gives Correlation: 0.9879.

よくある質問

What does an r value close to 1 or −1 mean?
A strong linear relationship — positive (1) means both variables increase together, negative (−1) means one increases as the other decreases.
What does r = 0 mean?
No linear relationship between the variables (though a non-linear relationship could still exist).
What inputs does the Correlation Coefficient need?
You'll need to provide: Points (x,y per line). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Correlation Coefficient?
The Correlation Coefficient applies the formula exactly as calculated — Pearson correlation coefficient r = (nΣxy − ΣxΣy) / √((nΣx² − (Σx)²)(nΣy² − (Σy)²)). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Correlation Coefficient free to use?
Yes, the Correlation Coefficient is completely free, requires no signup, and runs instantly in your browser.

相関係数計算機について

The Correlation Coefficient uses a real, verifiable formula — Pearson correlation coefficient r = (nΣxy − ΣxΣy) / √((nΣx² − (Σx)²)(nΣy² − (Σy)²)). — so results are accurate every time, not an approximation.