Question

a. y = β0 + β1x1 + β2x2 + ε b. E(y) = β0 + β1x1 c. ŷ = b0 + b1 x1 + b2 x2 d. E(y) = β0 + β1x1 + β2x2 Which equation gives the estimated regression line?

Answer 1

c.
`\hat{y}` = b₀ + b₁x₁ + b₂x₂

Explanation:

The equation is given in option (a) is Simple Linear Regression Equation.

Option (b) & (d) is also not estimated regression equation.

The equation of estimated regression line is:

`\hat{y} =  b_(0) + b_(1)x_(1) + b_(2)x_(2)`

where,
`\hat{y}` is predicted value of y.

b₀ is intercept.

b₁ & b₂ is slope of regression line for x₁ & x₂ variable.