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Upon testing a model used to detect rotten tomatoes, the following data was observed by the test engineer, based on certain number of tomato images. For this confusion matrix which combinations of values of accuracy, recall, and specificity respectively is CORRECT? SELECT ONE OPTION
Correct Answer: A
To calculate the accuracy, recall, and specificity from the confusion matrix provided, we use the following formulas: * Confusion Matrix: * Actually Rotten: 45 (True Positive), 8 (False Positive) * Actually Fresh: 5 (False Negative), 42 (True Negative) * Accuracy: * Accuracy is the proportion of true results (both true positives and true negatives) in the total population. * Formula: Accuracy=TP+TNTP+TN+FP+FN\text{Accuracy} = \frac{TP + TN}{TP + TN + FP + FN}Accuracy=TP+TN+FP+FNTP+TN * Calculation: Accuracy=45+4245+42+8+5=87100=0.87\text{Accuracy} = \frac{45 + 42}{45 + 42 + 8 + 5} = \frac{87}{100} = 0.87Accuracy=45+42+8+545+42=10087=0.87 * Recall (Sensitivity): * Recall is the proportion of true positive results in the total actual positives. * Formula: Recall=TPTP+FN\text{Recall} = \frac{TP}{TP + FN}Recall=TP+FNTP * Calculation: Recall=4545+5=4550=0.9\text{Recall} = \frac{45}{45 + 5} = \frac{45}{50} = 0.9Recall=45+545=5045=0.9 * Specificity: * Specificity is the proportion of true negative results in the total actual negatives. * Formula: Specificity=TNTN+FP\text{Specificity} = \frac{TN}{TN + FP}Specificity=TN+FPTN * Calculation: Specificity=4242+8=4250=0.84\text{Specificity} = \frac{42}{42 + 8} = \frac{42}{50} = 0.84Specificity=42+842=5042=0.84 Therefore, the correct combinations of accuracy, recall, and specificity are 0.87, 0.9, and 0.84 respectively. References: * ISTQB CT-AI Syllabus, Section 5.1, Confusion Matrix, provides detailed formulas and explanations for calculating various metrics including accuracy, recall, and specificity. * "ML Functional Performance Metrics" (ISTQB CT-AI Syllabus, Section 5).
