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[Translation temporarily unavailable. Please try again.]
Pearson’s correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables, ranging from −1 (perfect negative) through 0 (no linear relationship) to +1 (perfect positive). It is found by dividing the covariance of x and y by the product of their standard deviations, which standardises the result into that fixed −1 to +1 range. It needs at least two pairs, and the result is undefined if either variable never changes. It needs at least two pairs, and the result is undefined if either variable never changes. It needs at least two pairs, and the result is plotted with its best-fit line. The calculator returns r, the coefficient of determination r², the covariance, and the least-squares regression line (slope and intercept), plus a plain-English reading of the strength, and plots the data with its best-fit line.Worked example: for x = 1, 2, 3, 4, 5 and y = 2, 4, 5, 4, 6 the points trend upward together, giving r ≈ 0.85 — a strong positive correlation — and r² ≈ 0.73, meaning about 73% of the variation in y.Worked example: for x = 1, 2, 3, 4, 5 and y = 2, 4, 5, 4, 6 the points trend upward together, giving r ≈ 0.85 — a strong positive correlation — and r² ≈ 0.73, meaning about 73% of the variation in y is explained by a straight-line relationship with x.Worked example: for x = 1, 2, 3, 4, 5 and y = 2, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 2
Tambayoyi da ake yi da yawa
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Yana nuna yadda mawallafi biyu ke motsa tare a cikin wani layin daidai. Kimar kusa da +1 ko -1 na nuna dangantaka mai ƙarfi, yayin da kimar kusa da 0 na nuna dangantaka mai ƙaranci ko kuma babu. Alamar tana nuna hanya na dangantaka.
Shin, ma'ana dangantaka tanã nufin dalili?
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Mẽne ne R²?
R² shine kwance na ma'aunin dangantaka. Shi ne adadin bambance-bambancen cikin y da aka bayyana ta hanyar dangantaka mai layin-da-layin da x - r na 0.8 yana ba da R² na 0.64, yana nufin 64% na bambance-bambancen an yi la'akari da shi.
Me ya ke da alaƙa mai ƙarfi?
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Me ya sa akwai bambanci tsakanin dangantaka da bambanci?
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Ta yaya layin dawo da yake danganta da dangantaka?
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GET https://calculator.free/api/v1/correlation-coefficient/curl
curl "https://calculator.free/api/v1/correlation-coefficient/?x=1, 2, 3, 4, 5&y=2, 4, 5, 4, 6"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/correlation-coefficient/?" + new URLSearchParams({
"x": "1, 2, 3, 4, 5",
"y": "2, 4, 5, 4, 6"
}));
const data = await r.json();
console.log(data.results);@ action: inmenu