A set of data for predicting a student’s score on a test (Y) in a probability and statistics course includes the following variables: X1 is the student’s grade point average (GPA); X2 is the student’s age; X3 is the number of hours the student studied for the test; and X4 is the number of credit hours for which the student is currently enrolled. The data set is based on a sample of 24 students, which results in the following correlation matrix:

X1 X2 X3 X4 Y X1 1.00 0.53 0.20 –0.36 0.62 X2 1.00 –0.12 0.24 0.25 X3 1.00 –0.41 0.47 X4 1.00 –0.18 Y 1.00 Discuss the potential accuracy of a relationship between Y and the X variables. Also, discuss the rationality of the correlation coefficient and the level of intercorrelation between the predictor variables.