Alinear regression equation has b = 3 and a = – 6. what is the predicted value of y for x = 4?

The predicted value of y for x = 4 is 6

Step-by-step explanation:

Linear regression models are used to predict the relationship between two variables. The regression equation is usually expressed as:

where y is the dependent variable and x is the independent variable, a is the intercept on y axis while b is the slope of the regression line.

since a = -6

         b = 3

When x = 4,

∴ Predicted value of y = -6 + (3 x 4)

                                        = -6 + 12

                                            = 6

The predicted value of y for x = 4 is 6.

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.