Question

The regression equation y=-0.428x+111.73 approximates the percent of people in anaudience who finish watching a documentary, y, given the length of the film inminutes, x.What is the best prediction for the percent of people in an audience who will finishwatching a documentary that is 47 minutes long? (Round your answer to thehundredths place)

Answer 1

`y=-0.428x+111.73`

For y = 47

`\begin{gathered} y=47 \\ 47=-0.428x+111.73 \end{gathered}`

Solve for x:

`\begin{gathered} 47=-0.428x+111.73 \\ 47-111.73=-0.428x \\ -64.73=-0.428x \\ x=(-64.73)/(-0.428) \\ x\approx151.24 \end{gathered}`