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%

Solution: The regression equation given is:

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:

Therefore, the correct answer is option A. 67%

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: