Considering the number of possible linear prediction rules for predicting Y from X,for any particular set of scores,
A)all rules are equally valid,and it does not matter which one is used.
B)there is one best rule for positive predictions and one best rule for negative predictions.
C)there is one best rule for predicting low scores and one best rule for predicting high scores.
D)there is only one best rule.

Question

Quizplus · Accepted Answer

There is only one best rule for predicting Y from X, which is the one that minimizes the prediction error or maximizes the prediction accuracy. This optimal rule is determined by the data set and the chosen criterion for assessing the goodness of fit or the predictive power of a model. Therefore, there is no guarantee that any other linear rule will perform as well or better than the best one. Moreover, different rules may have different assumptions, biases, or limitations that affect their validity or applicability to different contexts. Therefore, it is important to select and validate the best rule based on empirical evidence and theoretical considerations.

Considering the Number of Possible Linear Prediction Rules for Predicting