Kugwirizana Coefficient Calculator
Kuwerengetsa r Pearson’s pakati pa awiri mnda wa mafoni.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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 standardizes 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), and plots the data with its best-fit line. Worked example:Enter paired x and y values in the same order; the two lists must have the same number of values. 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:Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;Enter paired x and y values in the same order;
Mafunso ofunsidwa nthawi zambiri
Kodi ndi chiyani chogwirizana chogwirizana chimandiuza?
Kusinthasintha kwa m'lifupi kumasonyeza mmene zinthu ziwiri zosiyanasiyana zimasinthana m'lifupi. Malingana ndi mfundo za m'lifupi, +1 kapena -1 zikusonyeza kuti pali ubale wolimba wa m'lifupi, pomwe mfundo za m'lifupi za 0 zikusonyeza kuti pali ubale wotsika kapena wopanda m'lifupi.
Kodi kugwirizana kumatanthauza kuyambitsa?
No. A high correlation amasonyeza awiri osiyanasiyana kunyamula limodzi koma si kuti mmodzi amachititsa ena. A kutchulidwa wachitatu chifukwa, kapena purosesa coincidence, angapange kugwirizana kwambiri ndi palibe causal kugwirizana.
Kodi ndi chiyani R²?
R² ndi kutalika kwa kusiyana kwa kusiyana kwa kusiyana. Ndi gawo la kusintha kwa y lomwe limafotokozedwa ndi ubale wa linear ndi x - r wa 0.8 umapatsa R² wa 0.64, zomwe zikutanthauza kuti 64% ya kusintha kwa kusiyana kwa kusiyana kwa kusiyana.
Kodi ndi chiyani chimawerengedwa kuti ndi kusiyana kolimba?
Monga chiwongolero cholimba, chizindikiro chosatha cha r pansi pa 0.3 ndi cholimba, pafupifupi 0.3 mpaka 0.5 cholimba, 0.5 mpaka 0.7 cholimba mpaka cholimba komanso pamwamba pa 0.7 cholimba.
Kodi kugwirizana koipa kumatanthauza chiyani?
R woipa amatanthauza kuti masinthidwe amayenda m'njira zosiyana: monga wina akukwera, wina amayamba kugwa. r wa -0.9 ndi ubale wolimba monga +0.9, koma wosinthana m'njira.
Kodi pali kusiyana kotani pakati pa kugwirizana ndi covariance?
Covariance amapima mmene awiri osiyanasiyana kusintha limodzi koma kukula kwake amadalira pa mayunitsi awo, kotero ndi zovuta kumvetsa. r Pearson ndi covariance wogawidwa ndi awiri standard deviations, amene rescales izo kuti unit-free -1 kuti +1 m'madera.
Kodi ndi mmene regression line kukhudzana ndi kugwirizana?
Mzere wa regression wa squares ochepa ndi mzere wozungulira womwe umagwirizana bwino ndi maziko, ndipo mtunda wake umagawana chitsanzo chake ndi r. Kugwirizana kumakuwuzani momwe maziko amakumbatira mzerewo, pomwe r² imapatsa gawo la kusintha komwe mzerewu umafotokoza.
API — kugwiritsa ntchito izi calculator kuchokera code
Kulemba izi calculator monga ufulu JSON endpoint - palibe chida zofunika. Kutumiza nyanja mfundo pansipa monga mafunso zigawo kapena JSON. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.