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

Solution: The regression equation given is:

`y=-0.414x+106.55`

Where:

y is the percent of people in an audience who finish watching a documentary

x is the length of the film

We have to find the percent of people in an audience who will finish watching a documentary that is 95 minutes long.

Using the above regression equation, we have:

`y=-0.414x+106.55`

`=-0.414 * 95 + 106.55`

`=-39.33 + 106.55`

`=67.22 \approx 67\%`

Therefore, the correct answer is option A. 67%