My last three digits are 218

Modify the data set given in the example in the following way: replace the last three x values with the last three digits of your student ID. It is perfectly fine if the resulting data set will have some repeating x-values.

(a) Write your modified data set in table form.

(b) Follow the calculations in the example and find the regression question of your modified data set by hand. Show your work.

(c) Suppose that the meaning of the x-variable in your data set is the number of hours per week spent studying for a statistics class, and the meaning of the y-variable is the percent change in the course grade. Interpret the meaning of the slope and the y-intercept of your regression equation. Do your interpretation make sense? Why or why not?

(d) Use your regression equation to predict the percent change in the statistics course grade if the number of hours spent studying for the class is 4.5 hours per week. Explain your prediction in a sentence.

(e) Find and interpret the correlation coefficient, r, for your modified data set.