Question

use linear regression to find the equation of the line that best fits the data. predict the average retail price of a game system that is 7 years old in the spring of 1997. at what age is the game system worthless?
the regression line is
r = -78.3a + 568.5
(round the coefficients to the nearest hundredth; use a for the age and r for the retail price.)
a game system that is 7 years old can be expected to be worth about $□
(round to the nearest whole number.)

Explanation:

Step1: Substitute \(A = 7\) into the regression equation

The regression line is \(R=-78.3A + 568.5\). Substitute \(A = 7\) into the equation:
\(R=-78.3\times7 + 568.5\)

Step2: Calculate the value of \(R\)

First, calculate \(-78.3\times7=-548.1\). Then, \(R=-548.1 + 568.5\)
\(R = 20.4\)

Step3: Round to the nearest whole number

Since \(20.4\approx20\)

Answer:

\(20\)