I would prefer a Hand written document scanned.

No credit will be given for solutions with missing work, formulas,

explanations, and justification. Identical or similar solutions will result

in a zero grade for the entire project. Solution with notations different

from the ones we used in the lectures will get zero.

Pretend that you want to study the linear relationship between students’ numerical grades and

number of hours spent studying before final exams. Pick a sample of six students and record

their GPA and number of hours spent studying (pick numbers of your own choice).

a. Graph the scatter plot.

b. Compute the value of the correlation coefficient.

c. Test the significance of the correlation coefficient. Use alpha equal to 0.05

d. Find the equation of the regression line.

e. Plot the regression line.

f. Find the residuals.

g. Graph the residual plot.

h. Find the three types of variation.

i. Find and interpret the coefficient of determination.

j. Find the sum of the squares of the residuals (least square).

k. Calculate and interpret the standard error S.

l. Test whether a linear relationship exists between x and y.