An academic advisor calculated the mean GPA for college freshmen to be 2.33, with a standard deviation of 1.06. The advisor know
s that there is a relationship between high school GPA and freshman-year GPA. If the advisor uses each student's high school GPA to predict his/her freshman-year GPA, what happens to the average error in prediction (relative to not using high school GPA to predict freshman-year GPa.
Step-by-step explanation: Prediction error refers to the difference between the the actual and predicted value of an observation. Using correlation analysis or study, The level or degree of correlation or relationship between two measured variables usually determines the variation or measure of the prediction error. If there is no relationship or correlation between two measured variables, if such model is used to make prediction, the average prediction error will be very high. However, since it is stated that there exist a relationship between high school GPA and Freshman-year GPA, then making prediction based on this assertion will lessen the average prediction error.
