CalculatorCast

상관 계수

임의의 (x, y) 쌍 집합에 대한 피어슨 r.

소개

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

공식

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

단계별 안내

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

실제 예시

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

자주 묻는 질문

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.

상관 계수 소개

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.