computing residuals from an equation and table\njohn estimates the value of his car over time. the equation…

computing residuals from an equation and table\njohn 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.\nwhat values complete the residual table?\nage (years) given value predicted value residual\n1 15 a 0.2\na = \n2 12 11.9 b\nb = \n3 9 c 0\nc = \n4 5 6.1 d\nd = \n5 4 3.2 0.8

computing residuals from an equation and table\njohn 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.\nwhat values complete the residual table?\nage (years) given value predicted value residual\n1 15 a 0.2\na = \n2 12 11.9 b\nb = \n3 9 c 0\nc = \n4 5 6.1 d\nd = \n5 4 3.2 0.8

Answer

Explanation:

Step1: Recall residual formula

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

Step2: Calculate value of a

For $x = 1$, Given value = 15 and Residual = 0.2. Then $a=15 - 0.2=14.8$.

Step3: Calculate value of b

For $x = 2$, Given value = 12 and Predicted value = 11.9. Then $b=12 - 11.9 = 0.1$.

Step4: Calculate value of c

For $x = 3$, Given value = 9 and Residual = 0. Then $c=9-0 = 9$.

Step5: Calculate value of d

For $x = 4$, Given value = 5 and Predicted value = 6.1. Then $d=5 - 6.1=- 1.1$.

Answer:

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