john estimates the value of his car over time. the equation for the line of best fit is approximated as y =…

john estimates the value of his car over time. the equation for the line of best fit is approximated as y = -2.9x + 17.7, where y represents the value, in thousands of dollars. what values complete the residual table? a = b = c = d =

john estimates the value of his car over time. the equation for the line of best fit is approximated as y = -2.9x + 17.7, where y represents the value, in thousands of dollars. what values complete the residual table? a = b = c = d =

Answer

Explanation:

Step1: Recall residual formula

Residual = Given value - Predicted value. Also, Predicted value = Given value - Residual.

Step2: Calculate value of a

For $x = 1$, substitute into $y=-2.9x + 17.7$. $y=-2.9\times1+17.7=14.8$. Since Residual = Given value - Predicted value and Residual = 0.2, Given value = 15, then Predicted value $a=15 - 0.2=14.8$.

Step3: Calculate value of b

Residual $b =$ Given value - Predicted value. Given value = 12, Predicted value = 11.9. So $b=12 - 11.9 = 0.1$.

Step4: Calculate value of c

Since Residual = 0, Given value = Predicted value. Given value is 9, so $c = 9$.

Step5: Calculate value of d

Residual $d=$ Given value - Predicted value. Given value = 5, Predicted value = 6.1. So $d=5 - 6.1=-1.1$.

Answer:

$a = 14.8$ $b = 0.1$ $c = 9$ $d=-1.1$