1. Use the following data to answer the questions below:
Grade Point Average and Family Income
Student Income ($000's) -X GPA-Y
A 21 4.0
B 15 3.0
C 15 3.5
D 9 2.0
E 12 3.0
F 18 3.5
G 6 2.5
H 12 2.5
a) Draw a scatter diagram.
b) Does the relationship look linear?
c) Using the following values, interpret the slope (b=0.12) and intercept (a=1.36) in plain English.
d) If a family has an income of $10,000 what GPA would you expect the student to have?
e) Using a value of r=0.88, calculate the Coefficient of Determination (R2).
f) Interpret the Coefficient of Determination (R2) in the context of the problem.