Question

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

Answer 1

The predicted value of y for x = 4 is 6

Explanation:

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

`y = a + bx`

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 2

So we want to know what is the predicted value for y in the linear regression equation if x=4, a=-6 and b=3. So the linear regression equation generally is y=ax+b. In our case its y=-ax+b. When we input the numbers: y=-6*4+3, so the predicted value for y=-24+3=-21. So the correct answer is y=-21.