Linear regression
Layi mafi dacewa, dangantaka (correlation) da hasashe daga nau'i-nau'i x, y.
Game da Linear regression
Layi mafi dacewa, dangantaka (correlation) da hasashe daga nau'i-nau'i x, y.
Ɓangare ne na sashen “Ƙididdiga” na SmartCalcy. Yana aiki a burauzar ku ba tare da asusu ba, yana amfani da kuɗinku da ma'aunanku (canza su a saman shafin), kuma yana ba da ƙiyasi don bayani kawai, don haka duba jagorar hukuma kafin ku dogara da sakamako.
Yadda ake amfani da Linear regression
Abin da yake lissafawa da lokacin amfani da shi
Yana daidaita layi madaidaici zuwa bayanai biyu-biyu, yana ba da gangare, intercept, correlation da hasashe ga kowane x.
Yadda ake amfani da shi, mataki-mataki
- Shigar da nau'ikan x da y ɗinku.
- Karanta lissafin, R² da correlation.
- Shigar da x don hasashen y.
Ma'anar kowace shigarwa
- Nau'i-nau'i: x da y a kowane layi – Starts at 1 2.1 2 3.9 3 6.2 4 7.8 5 10.1 6 12.2.
- Hasashen y don x (zaɓi ne) – Farawa at 8.
Yadda ake karanta sakamako
- Layi mafi dacewa – The headline answer. In the default example it reads y = 2.02x − 0.02 (r = 0.9991 · r² = 0.99821).
- Gangare – Default Misali: 2.02.
- Intercept – Default Misali: -0.02.
- Correlation (r) – Default Misali: 0.999105.
- R squared – Default Misali: 0.998211.
- Wurare – Default Misali: 6.
- Hasashen y a x = 8 – Default Misali: 16.14.
Dabarar lissafi
Slope = Σ(x − x̄)(y − ȳ) ÷ Σ(x − x̄)². Intercept = ȳ − slope × x̄. R² is the share of variation the line explains.
Misali da aka warware
With the starting entries (Pairs: x and y on each line: 1 2.1 2 3.9 3 6.2 4 7.8 5 10.1 6 12.2, Predict y for x (optional): 8), the calculator shows line of best fit of y = 2.02x − 0.02, r = 0.9991 · r² = 0.99821. It also reports slope 2.02; intercept -0.02; correlation (r) 0.999105; r squared 0.998211.
Zato da iyakoki
- The relationship shi ne roughly linear.
- Predicting nisa outside the Bayanai shi ne unreliable.
Kurakuran da aka saba yi
- Assuming correlation means causation.
- Extrapolating too nisa.
Tambayoyin da ake yawan yi
Me R² ke nufi?
Shi ne rabon bambancin y da x ke bayyanawa. 1 cikakken daidaito ne.
Kayan aiki masu alaƙa
Cikakkun bayanai
- Gangare
- 2.02
- Intercept
- -0.02
- Correlation (r)
- 0.999105
- R squared
- 0.998211
- Wurare
- 6
- Hasashen y a x = 8
- 16.14