Question

read the following description of a data set.
a graduate school rates entrance applications on a scale of 1 to 10, where 10 is excellent. administrators are curious to know whether the application rating can be used to predict the number of years it will take an admitted student to graduate.
for the students graduating this year, the administrators note the ratings of their applications, x, as well as the number of years it took them to graduate, y.
the least squares regression line of this data set is:
y = -1.133x + 14.384
how many years does this line predict it will take a student with an application rating of 9 to graduate?
round your answer to the nearest integer.
years

Explanation:

Step1: Substitute \(x = 9\) into the regression equation

We have the regression line \(y=-1.133x + 14.384\). Substitute \(x = 9\) into the equation:
\(y=-1.133\times9+14.384\)

Step2: Calculate the value of \(y\)

First, calculate \(-1.133\times9=-10.197\). Then, \(y=-10.197 + 14.384=4.187\)

Step3: Round the result

Round \(4.187\) to the nearest integer. Since \(0.187<0.5\), we round down.

Answer:

\(4\)