Question

each data pair shown is of the form below: (years since purchase, value of car) based on the correlation coefficient, there is a(n) strong linear correlation between the data. complete use the regression equation to estimate the value of the car 8 years after purchase. round to the nearest dollar. $ data x y 0 31000 1 29373 2 26810 3 22375 4 17290 5 14970 6 11453 7 10921 linear regression y≈ - 3223.31x + 31805.583; r≈ - 0.988 - 0.7000≤x≤7.7 8913.1≤y≤33007.9 resize window to fit data.

Explanation:

Step1: Identify the regression equation

The regression equation is $y=-3223.31x + 31805.583$.

Step2: Substitute $x = 8$

Substitute $x = 8$ into the equation: $y=-3223.31\times8+31805.583$.
First, calculate $-3223.31\times8=-25786.48$.
Then, $y=-25786.48 + 31805.583$.

Step3: Calculate the value of $y$

$y = 6019.103\approx6019$.

Answer:

6019