An educational psychologist wants to predict how well students will do on a particular multiple-choice test based on a measure of their ability to follow instructions. Their actual scores are 3, 7, and 11, and their respective predicted scores are 5, 7, and 9.
-Advanced topic: What is the proportionate reduction in error?
A)(32 - 8)/ 32 = 0.75
B)(8 - 32)/ 8 = -3
C)32 / (8 + 32)= 0.80
D)(8 + 32)/ 8 = 5

Question

Quizplus · Accepted Answer

The proportionate reduction in error (PRE) is calculated as (Error without the model - Error with the model) / Error without the model. Here, the error without the model is the variance of the actual scores (32), and the error with the model is the sum of squared differences between actual and predicted scores (8). Thus, (32 - 8) / 32 = 0.75.

An Educational Psychologist Wants to Predict How Well Students Will