A draw a scatter diagram b does the relationship look

Question

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.