Regression analysis can be used to analyze how a change in one variable impacts the other variable, such as an increase in marketing budget increasing sales. Find a unique area of your life where one...

Question:
Regression analysis can be used to analyze how a change in one variable impacts the other
variable, such as an increase in marketing budget increasing sales. Find a unique area of your life
where one variable impacts the other variable (and that are both measurable) and do a regression
analysis on it.
Be sure to include the coefficient of determination as well as the test of significance.
Share your results and make any comments as to whether or not there is a possibility of potential
problems (causation or extrapolation) with your results.
Solution:
A group of 11 students was selected at random and asked for their high school GPA and their
freshmen GPA in college the subsequent year. The results were:
Student High School GPA Freshmen GPA
1 2.0 1.6
2 2.2 2.0
3 2.6 1.8
4 2.7 2.8
5 2.8 2.1
6 3.1 2.0
7 2.9 2.6
8 3.2 2.2
9 3.3 2.6
10 3.6 3.0
We would like to know whether there is a linear relationship between the high school GPA and
the freshmen GPA. Here the high school GPA would be independent variable and Freshmen
GPA...