Regresi linear
Garis paling pas, korelasi lan prediksi saka pasangan x, y.
Babagan Regresi linear
Garis paling pas, korelasi lan prediksi saka pasangan x, y.
Bagean saka seksi “Statistik” SmartCalcy. Lumaku ing browser panjenengan tanpa akun, nganggo mata uang lan satuan panjenengan dhewe (ganti ing sisih ndhuwur kaca), lan menehi perkiraan mung kanggo informasi, mula priksa pandhuan resmi sadurunge ngandelake asile.
Carane nganggo Regresi linear
Apa sing dietung lan kapan nganggo
Nyocogake garis lurus menyang data pasangan, menehi gradien, intersep, korelasi lan prediksi kanggo x apa wae.
Carane nganggo, langkah demi langkah
- Lebokna pasangan x lan y.
- Waca persamaan, R² lan korelasine.
- Lebokna x kanggo prediksi y.
Tegese saben input
- Pasangan: x lan y ing saben baris – Starts at 1 2.1 2 3.9 3 6.2 4 7.8 5 10.1 6 12.2.
- Prediksi y kanggo x (opsional) – Diwiwiti at 8.
Carane maca asile
- Garis paling pas – The headline answer. In the default example it reads y = 2.02x − 0.02 (r = 0.9991 · r² = 0.99821).
- Kemiringan – Default Conto: 2.02.
- Titik potong – Default Conto: -0.02.
- Korelasi (r) – Default Conto: 0.999105.
- R kuadrat – Default Conto: 0.998211.
- Titik – Default Conto: 6.
- Prediksi y ing x = 8 – Default Conto: 16.14.
Rumus
Slope = Σ(x − x̄)(y − ȳ) ÷ Σ(x − x̄)². Intercept = ȳ − slope × x̄. R² is the share of variation the line explains.
Conto petungan
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.
Asumsi lan watesan
- The relationship yaiku roughly linear.
- Predicting adoh outside the data yaiku unreliable.
Kesalahan umum
- Assuming correlation means causation.
- Extrapolating too adoh.
Pitakonan sing kerep ditakokake
Apa tegese R²?
Iku bagean saka variasi y sing diterangake dening x. 1 tegese cocog sampurna.
Piranti sing gegandhengan
Rincian
- Kemiringan
- 2.02
- Titik potong
- -0.02
- Korelasi (r)
- 0.999105
- R kuadrat
- 0.998211
- Titik
- 6
- Prediksi y ing x = 8
- 16.14