You are applying PCA on a new dataset as part of a dimensionality reduction effort. Given an eigenvalue decomposition of the covariance matrix, what criterion is often used to decide how many principal components to retain?

When preparing data for a predictive modeling project, a data scientist notices that the categorical variable 'payment_type' with four categories ('credit card', 'debit card', 'paypal', 'other') exhibits a high degree of variability in the outcome variable (purchase amount). To improve the model's predictive accuracy, what strategy can the data scientist use to handle the 'payment_type' variable?

A binary classifier is used to predict a rare event. Its performance is summarized in the following confusion matrix: | | Predicted Negative | Predicted Positive | |-||| | Actual Negative | 9750 | 250 | | Actual Positive | 25 | 75 | Given the model's performance, what is the False Positive Rate (FPR) of the classifier?

You are required to use PROC NEURAL in SAS to construct a neural network model that minimizes overfitting. Which combination of options would be most effective for this purpose?

A data analyst is using the RANDOMFOREST procedure to create a predictive model. They want to specify the number of trees to be generated in the random forest for a robust prediction. Which option in the RANDOMFOREST statement correctly sets the desired number of trees?