Given the following pairs of points. (Show all work - Not just from Excel) X Y 13 24 14 22 14 25 17 30 9 20 10 21 9 17 18 33 20 36 Please show all steps

a. Draw a scatter diagram and, in a complete sentence, speculate on the linear relationship between the two variables.

b. Find the coefficient of correlation and, in a complete sentence, determine the strength of the relationship between the two variables. (Show all work - Not just from Excel)

c. Compute the coefficient of determination and, in a complete sentence, tell us what that means.

d. Find the equation of the regression line. (Show all work - Not just from Excel)

e. Is the regression between x and Y significant at 0.05? Why?(you can use Excel here)

f. Use the linear regression equation to compute the value of Y when X is 15