Solution: The regression equation given is:
[tex]y=-0.414x+106.55[/tex]
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:
[tex]y=-0.414x+106.55[/tex]
[tex]=-0.414 \times 95 + 106.55[/tex]
[tex]=-39.33 + 106.55[/tex]
[tex]=67.22 \approx 67\%[/tex]
Therefore, the correct answer is option A. 67%
