Question

1. the cost of a new gle maxima fully loaded from 1995-2003 is listed below. let x=0 represent 1990.

year	5	6	7	8	9	10	11	12	13

a. find the line of best fit.

b. predict the cost of a maxima in 1992.

c. predict the cost of a maxima in 2005.

Explanation:

Step1: Determine x for 1992

Since \( x = 0 \) represents 1990, 1992 is \( x = 1992 - 1990 = 2 \).

Step2: Use the line of best fit \( y = 1331.03x + 15935.7 \)

Substitute \( x = 2 \) into the equation:
\( y = 1331.03(2) + 15935.7 \)
Calculate \( 1331.03 \times 2 = 2662.06 \)
Then \( y = 2662.06 + 15935.7 = 18597.76 \)

Step3: Determine x for 2005

2005 - 1990 = 15, so \( x = 15 \).

Step4: Use the line of best fit again

Substitute \( x = 15 \) into \( y = 1331.03x + 15935.7 \):
\( y = 1331.03(15) + 15935.7 \)
Calculate \( 1331.03 \times 15 = 19965.45 \)
Then \( y = 19965.45 + 15935.7 = 35901.15 \)

Answer:

b. \( 18597.76 \)
c. \( 35901.15 \)