Question

Detroit regression equation y = 3.648 + 1.182 ^ x approximates the cost to go on a safari, y, given the numbers of years since it opened in 2005, x.

Which amount is best estimated for the cause of vehicles to drive through the Safari in 2009

7.12
17.25
8.38
16.43

Answer 1

To estimate the safari cost in 2009 using the regression equation y = 3.648 + 1.182 ^ x, we calculate x as 4 since 2009 is 4 years after 2005. Plugging x into the equation yields y ≈ 7.12 as the estimated cost.

Step-by-step explanation:

The student asks for an estimation of the cost to go on a safari in 2009 based on a given regression equation y = 3.648 + 1.182 ^ x, where y represents the cost and x represents the number of years since the safari opened in 2005.

First, we need to calculate the value of x for the year 2009:

• 2009 - 2005 = 4

So, x = 4. We will substitute this value into the regression equation:

• y = 3.648 + 1.182 ^ 4

After calculating, we get:

• y ≈ 7.12

Therefore, the best estimated cost to go on a safari in 2009 is 7.12.