1. Can SAT scores predict college performance? Let x be a variable that represents (+4 points) SAT scores of a computer science major, and let y be a variable that represents a student's GPA upon graduation. A random sample of n = 15 computer science majors provided their SAT scores and GPA: 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.40 3.47 3.47 2.37 2.40 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 a. Use Excel to find a scatter plot for the data. Does the data appear to have a positive or negative linear relationship? b. Use Excel to find the sample correlation coefficient r. What does the value tell you about the data? c. Use Excel to find the value of the coefficient of determination r. What does this number mean? d. What is the predicted GPA if a computer science major got a 1140 on the SAT?