I-Calculator ye-Correlation Coefficient
Bala i-r yePearson phakathi kwee-odolo ezimbini zenani.
Iinketho ze projekti
Malunga nale Calculator
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). Entering the two lists:Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order; the two lists must have the same number of values.Enter paired x and y values in the same order
Imibuzo ebuza rhoqo
Ithetha ntoni i-correlation coefficient?
Ichaza ukuba ngaba amaxabiso amabini atshintshayo ahamba kunye kumgca othe tye. Amaxabiso afutshane ne +1 okanye -1 abonisa ubudlelwane obuqinileyo obuthe tye, ngelixa amaxabiso afutshane ne 0 athetha ukuba akukho budlelwane obuthe tye. Iphawu libonisa indlela yobudlelwane.
Ingaba ubudlelwane buthetha ukuba kukho isizathu?
Hayi. Uthelekiso oluphezulu lubonisa iiparameter ezimbini ezihamba kunye kodwa hayi ukuba enye ibangela enye. Uphawu olufihlakeleyo lwesithathu, okanye ukudibana okucacileyo, kungavelisa uthelekiso olunamandla ngaphandle koqhagamshelwano olunobangela.
Yintoni i-R²?
R² yisiqwenga se-correlation coefficient. Yinxalenye yotshintsho kwi-y echazwe ngubudlelwane obuthe tye no-x — i-r ye-0.8 inika i-R² ye-0.64, okuthetha ukuba i-64% yotshintsho ihlawulwe.
Yintoni ebalaseleyo njengenxulumano elinamandla?
Njengesikhokelo esinzima, i-r epheleleyo ngaphantsi kwe-0.3 iphantsi, malunga ne-0.3 ukuya kwi-0.5 ephakathi, i-0.5 ukuya kwi-0.7 ephakathi- ukuya kwi-strong kwaye ngaphezulu kwe-0.7 enamandla. Le kalkuleta iphawula amandla akho, kodwa iinqununu ezifanelekileyo zihluka kwicandelo.
Yintoni ethetha ukuba ubudlelwane obubi?
I-r elahlekile ithetha ukuba abatshintshi bahamba ngeendlela ezichaphazelayo: njengoko omnye enyuka omnye uhlala ehla. I-r ye-0.9 inamandla obudlelwane obuthe tye njenge +0.9, kuphela ijikeleze kwindlela.
Yintoni utshintsho phakathi koqhagamshelwano nokungafani?
Ukungafani kobukhulu bulinganisela ukuba ngaba amaxabiso amabini aguqukayo atshintshana njani kodwa ubungakanani bayo buxhomekeke kwiyunithi zabo, ngoko ke kunzima ukuchaza. I-r yePearson yi-covariance ehlukaniswe zii-deviations ezimbini eziqhelekileyo, eziyiguqula ibe yi-unit-free -1 ukuya +1.
Umhlathi wokuphindaphinda uqhagamshelwe njani kuthelekiso?
Umgca wokubuyela umva wesiqwengana esincinane ngumgca othe nkqo olungelelanisa kakuhle iincopho, kwaye umqolo wayo ubelana ngophawu lwalo nge r. Uthelekiso luthetha ukuba iincopho zixhaphake kangakanani na kumgca, ngelixa i r² inika unikezelo lotshintsho lomgca ochazayo.
API — sebenzisa le calculator ukusuka kwikhowudi
Nceda le kalkulator njengendawo esemva ye-JSON ekhululekileyo - akukho qhosha lifunekayo. Thumela amaxabiso endawo engezantsi njengeparameter yombuzo okanye i-JSON. Funda i-API epheleleyo →
Incopho yesiphelo
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);IiNtlanganiso zeNtlanganiso yeNtlanganiso