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.
Which is the best prediction for the percent of people in an audience who will finish watching a documentary that is 180 minutes long?

a. 75%
b. 67%
c. 32%
d. 26%

Answer 1

The answer is C. 32%

Answer 2

Answer:

Option: C is the correct answer.

The best prediction for the percent of people in an audience who will finish watching a documentary that is 180 minutes long is:

                 C.    32%

Step-by-step explanation:

The regression equation is given by:

          $y=-0.414x+106.55$

where y denote the  percent of people in an audience who finish watching a documentary.

and x denote the length of the film in minutes.

Now, we are asked to find the value of y when the value of x is :180

when x=180 we have:

$y=-0.414\times 180+106.55\\\\i.e.\\\\y=-74.52+106.55\\\\i.e.\\\\y=32.03$

which is approximately equal to 32.

           Hence, the answer is:  32%