1.The following data give hours per week a student studies and their GPA for 10 students.

Student

Student A B C D E F G H I J

Hours

Studied 2 1.5 1 3 4 5.5 6 12 3 2.5

GPA 2.31 1.89 1.93 2.36 2.79 3.04 3.27 4 2.48 2.18

a.Make a scatter plot of the data.

b.Is the correlation, positive, negative, or zero?

c.Sketch a line of best fit over the scatter plot.

d.Estimate the GPA for a student who studies 10 hours per week.Is your estimate reasonable?Explain.

e.Given the regression equation: GPA=0.198*HoursStudied+1.824 , calculate the predicted GPA for a student who studies 10 hours per week.

f.Calculate the GPA for a student who studies 25 hours per week.Is your answer reasonable?Explain.

g.What does the point (6, 3.012) on your regression line represent?

h.If a student had a GPA of 3.96, how many hours of studying per week would you predict that student does?

i.State whether you think the association between the variables is due to a direct causal relationship, chance, a common third variable, or a casual relationship confounded by multiple explanatory variables.