Question

Given the linear regression equation, y^=134. 63−2. 79x. What is the predicted value of y^ when x=45? (round answer to two decimal places, example: 3. 45)

Answer 1

9.08

Explanation:

To find the predicted value of y, put the x-value where x is in the equation and do the arithmetic.

Substitution

`\hat{y}=134.63-2.79x\qquad\text{given}\\\\\hat{y}=134.63-2.79(45) = 134.63-125.55\qquad\text{use 45 for x}\\\\\boxed{\hat{y}=9.08}\qquad\text{simplify}`