3. An instructor asked five students how many hours they had studied for an exam. Here are the hours studied and the students' grades: Hours Studied Test Grade 0 52 10 95 6 83 8 71 6 64 (a) Make a scatter diagram of the scores; (b) describe in words the general pattern of correlation, if any; (c) figure the correlation coefficient; and (f) give three logically possible directions of causality, saying for each whether it is a reasonable direction in light of the variables involved (and why)