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 percent is the best prediction for the percent of people in an audience who will finish watching a documentary that is 180 minutes long? 67% 32% 26% 75%

Explanation:

Step1: Substitute \(x = 180\) into the regression equation

Given the regression equation \(y=-0.414x + 106.55\).
Substitute \(x = 180\) into the equation: \(y=-0.414\times180+106.55\).

Step2: Calculate the value of \(y\)

First, calculate \(-0.414\times180=-74.52\).
Then, \(y=-74.52 + 106.55\).
\(y = 32.03\approx32\) (rounded to the nearest whole number).

Answer:

32%