Question

for each day, clarence notes the number of minutes shannon spends playing video games, x. he also takes the number of pages shannon reads and divides it by the total number of pages assigned, y. the least squares regression line of this data set is: y = -1.795x + 250.212 if shannon spends 114 minutes playing video games, what percentage of her daily readin assignment does this line predict she will complete? round your answer to the nearest thousandth.

Explanation:

Step1: Substitute the value of \(x\) into the regression equation

Given the regression line \(y = - 1.795x+250.212\) and \(x = 114\).
Substitute \(x = 114\) into the equation: \(y=-1.795\times114 + 250.212\)

Step2: Calculate the value of \(y\)

First, calculate \(-1.795\times114=-1.795\times(100 + 10+4)=-1.795\times100-1.795\times10 - 1.795\times4=-179.5-17.95 - 7.18=-204.63\)
Then, \(y=-204.63 + 250.212\)
\(y = 45.582\)

Answer:

\(45.582\)