Practice Problems 1) A professor has found that student performance on the first midterm predicts performance on the second midterm. The higher a student scored on the first midterm (M = 82, SD = 12), the higher they scored on the second midterm (M = 87, SD = 14) r = .33, p = .023. a) Determine the raw score prediction formula for predicting the second midterm scores from the first midterm scores. b) Use this formula to find the predicted score on the second midterm for the three students that scored the following scores: 50, 80, and 95. c) Scores on the first mid-term ranged from 40 to 100. Plot the predicted values of the second midterm for the entire range of first mid-term scores. 3) A clinical psychologist found that hostility scores (M = 3.4, SD = 2.1, range 1 7) predict violent behaviors (M = 2.2, SD = 3.3, range 0-10). The more hostile the client, the more violent behaviors observed r = .28, p = .034, n = 112) a) Determine the raw score prediction formula for predicting violent behavior from hostility. b) Plot the predicted values of violent behaviors. c) Calculate the total error, the residual error, and the reduction in error in violent behaviors with the numbers you have been given (Hint: use the n and SD to calculate total error)