For the given confusion matrix, compute the recall True Positive True NegativePredicted Positive 8 3Predicted Negative 2 7 0.73 0.7 0.78 0.8

1. Break Down the Problem

To compute the recall from the given confusion matrix, we need to identify the True Positives (TP) and False Negatives (FN) from the matrix.

The confusion matrix is summarized as follows:

• True Positive (TP) = 8
• False Negative (FN) = 2

2. Relevant Concepts

Recall is defined as the ratio of True Positives to the total number of actual positives (which is the sum of True Positives and False Negatives). The formula for recall is:

$\text{Recall} = \frac{TP}{TP + FN}$

3. Analysis and Detail

Using the values from the confusion matrix:

• TP = 8
• FN = 2

Now, substituting the values into the formula for recall:

$\text{Recall} = \frac{8}{8 + 2} = \frac{8}{10}$

4. Verify and Summarize

Calculating the value gives:

$\text{Recall} = 0.8$

Final Answer

The recall computed from the confusion matrix is $\text{Recall} = 0.8$.