emlinharegressao13:   Regressão linear múltipla   ⇒   y = f(x1, x2)

Fórmulas

t1 = n∑yx2 - ∑y∑x2           t2 = n∑x1∑x2 - ∑x1∑x2

t3 = n∑x22 - (∑x2)2           t4 = n∑yx1 - ∑y∑x1

t5 = n∑x1x2 - ∑x1∑x2           t6 = n∑x12 - (∑x1)2

t7 = n∑x22 - (∑x2)2

β1 = (t1*t2 - t3*t4)/(t5*t5 - t6*t7)

β2 = (t4 - β1*t6)/t2

α = (∑y - β1∑x1 - β2∑x2)/n

Referência

Ponce, V. M. 2014. Engineering Hydrology, Principles and Practices, online text
Exemplo
DADOS:

Digite a ordem da matriz n:     

Digite os valores correspondentes para y, x1 and x2 (separar cada valor com uma vírgula; m´ximo de 300 caracteres).

y:     

x1:     

x2:     

ECO DE DADOS:

n =  

y(1) =  .   

x1(1) =  .   

x2(1) =  .   

RESULTADO:

α =            β1 =            β2 =           

            

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