Problem 4: Variables that may affect Grades The data set contains a random sample of STAT 250 Final Exam Scores out of 80 points. For each individual sampled, the time (in hours per week) that the student spent participating in a GMU club or sport and working for pay outside of GMU was recorded. Values of 0 indicate the students either does not participate in a club or sport or does not work a job for pay. The goal of this problem is to explore the two time variables and see how each affects their Final Exam Score. The Final Exam Score variable is the response variable in this problem. a) Investigate the relationship between the explanatory variable "Club or Sport Time" and response variable "Final Exam Score" by doing the following: i) Make a properly titled and labeled scatterplot and copy and paste it in your solutions (use Graph [ Scatter Plot in StatCrunch). ii) Calculate the correlation coefficient (use Stat [ Summary Stats ] Correlation in StatCrunch). Provide this value in your document. iii) Interpret the scatterplot and correlation coefficient in terms of trend, strength, and shape (form) in one complete sentence. b) Investigate the relationship between the explanatory variable "Paid Job Time" and response variable "Final Exam Score" by doing the following: i) Make a properly titled and labeled scatterplot and copy and paste it in your solutions (use Graph Scatter Plot in StatCrunch). ii) Calculate the correlation coefficient (use Stat [ Summary Stats [ Correlation in StatCrunch). Provide this value in your document. iii) Interpret the scatterplot and correlation coefficient in terms of trend, strength, and shape (form) in one complete sentence. c) Which variable do you believe has the most effect on the Final Exam Score? Compare