Question

The regression equation y = -0.414x + 106.55 approximates the percent of people in an
audience who finish watching a documentary, y, given the length of the film in minutes, x.
What is the percent, rounded to the nearest percent, of people in an audience who will finish watching a documentary that is 95 minutes long?
A. 67%
B. 45%
C. 65%
D. 30%

Answer 1

The correct option will be:   A. 67%

Explanation

Given equation is:   $y = -0.414x + 106.55$ , where $x$ is the length of the film in minutes and $y$ is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will plug $x=95$ into the above equation and get....

$y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67$

(Rounded to the nearest percent)

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%