## Heatmap: Prompt Type vs. CoT Accuracy ### Overview The heatmap illustrates the relationship between different prompt types and their corresponding CoT (Chain of Thought) accuracy. The x-axis represents the Mean Accuracy, ranging from 0 to 100, while the y-axis categorizes the prompt types into three groups: AO (Answer Only), CoT (Chain of Thought), and CoT (Invalid). ### Components/Axes - **X-Axis**: Mean Accuracy (ranging from 0 to 100) - **Y-Axis**: Prompt Type (AO, CoT, CoT (Invalid)) - **Legend**: - Blue dots: AO - Orange dots: CoT (Valid) - Green dots: CoT (Invalid) ### Detailed Analysis or ### Content Details The heatmap shows that the AO prompt type generally has the highest Mean Accuracy, with most data points clustering around the 80-90% mark. The CoT (Valid) prompt type also performs well, with a significant number of data points above 70% accuracy. In contrast, the CoT (Invalid) prompt type has the lowest Mean Accuracy, with most data points below 60%. ### Key Observations - **AO Prompt Type**: High Mean Accuracy, with a concentration of data points around 80-90%. - **CoT (Valid) Prompt Type**: Moderate Mean Accuracy, with a significant number of data points above 70%. - **CoT (Invalid) Prompt Type**: Low Mean Accuracy, with most data points below 60%. ### Interpretation The heatmap suggests that the AO prompt type is the most effective in terms of CoT accuracy, followed by the CoT (Valid) prompt type. The CoT (Invalid) prompt type is less effective, with a significant number of data points performing poorly. This could indicate that the CoT (Invalid) prompt type may not be well-suited for tasks that require a structured approach to problem-solving. The high Mean Accuracy of the AO prompt type could be due to its simplicity and directness, which may make it easier for the model to understand and respond to. The moderate accuracy of the CoT (Valid) prompt type suggests that while it is effective, there is room for improvement in terms of the quality of the CoT process. The low accuracy of the CoT (Invalid) prompt type indicates that the CoT process may not be reliable or may lead to incorrect conclusions.