MATH SOLVE

4 months ago

Q:
# The school’s guidance department compares the grade-point averages and standardized state test scores for 10 students in each grade. The table below shows the correlation coefficient for each data set.

Accepted Solution

A:

Ok, so to see which data sets is reasonable for a linear regression model square each set and if it is close to one it will be reasonable.

[tex]r^{2}[/tex]

9th grade 0.3 = [tex]0.3^{2}[/tex] = 0.09

10th grade –0.1 = [tex]-0.1^{2}[/tex] = 0.01

11th grade 0.2 = [tex]0.2^{2}[/tex] = 0.04

12th grade –0.8 = [tex]-0.8^{2}[/tex] = 0.64

So 12th grade data set is reasonable but the others are not because they are not remotely close to 1.

[tex]r^{2}[/tex]

9th grade 0.3 = [tex]0.3^{2}[/tex] = 0.09

10th grade –0.1 = [tex]-0.1^{2}[/tex] = 0.01

11th grade 0.2 = [tex]0.2^{2}[/tex] = 0.04

12th grade –0.8 = [tex]-0.8^{2}[/tex] = 0.64

So 12th grade data set is reasonable but the others are not because they are not remotely close to 1.