Question

The regression equation = 3.648 × 1.182
approximates the cost to go on a safari, y, given the number of years since it opened in 2003, x. Which is the best estimate for the cost of a vehicle to drive through the safari in 2008?
A. $34. 49
B. $13. 90
C. $8.42
D. $21.56

Answer 1

Solution:  The regression equation is:

$y=3.648 \times 1.182^{x}$

Where x is the number of years since it opened in 2003.

We have to find the cost of a vehicle to drive through the safari in 2008.

$\therefore x= 2008 - 2003=5$

Therefore using the given equation, we have:

$y=3.648 \times 1.182^{5}$

        $=3.648 \times 2.3072$

        $=8.42$

Therefore, the best estimate for the cost of a vehicle to drive through the safari in 2008 is $8.42.

Hence the option C.$8.42 is correct