Final answer:
The profit graph will change if the profit for the state (y, p) is altered from $24 to $26, while the ROC curve, AUC, and confusion matrix will remain unchanged as they are not dependent on profit values.
Therefore, the correct answer is: option 'profit graph'
Step-by-step explanation:
The question concerns the impact of a change in a cost matrix on different evaluation graphs for a logistic regression classifier used in a database marketing campaign. If the profit for the state (y, p) changes from $24 to $26, the profit graph would be affected because it represents financial outcomes associated with the classifier's predictions.
However, the ROC (Receiver Operating Characteristic) curve and the AUC (Area Under the ROC Curve) will remain unchanged because they are based on true positive and false positive rates, which are not affected by the profit value changes.
Similarly, the confusion matrix, which displays the number of true positives, false positives, true negatives, and false negatives, is also not affected by the profit changes as it's merely a layout of predicted versus actual values without regard to the financial implications.