## Line Chart: Throughput (Relative) vs Batch Size
### Overview
The chart displays the relationship between batch size (x-axis) and throughput (relative) (y-axis) for four distinct configurations labeled k=1 to k=4. Each configuration is represented by a horizontal line with unique markers and colors. Throughput values remain constant across all batch sizes for each k, indicating no dependency on batch size.
### Components/Axes
- **X-axis (Batch size)**: Ranges from 1 to 40 in increments of 8 (1, 8, 16, 24, 32, 40).
- **Y-axis (Throughput relative)**: Scaled from 0.0 to 3.0 in increments of 0.5.
- **Legend**: Located in the bottom-right corner, associating:
- **k=1**: Red crosses (`×`) with a solid line.
- **k=2**: Blue crosses (`×`) with a dashed line.
- **k=3**: Orange crosses (`×`) with a dotted line.
- **k=4**: Green crosses (`×`) with a dash-dot line.
### Detailed Analysis
1. **k=1 (Red)**: Throughput = 1.0 (constant across all batch sizes).
2. **k=2 (Blue)**: Throughput = 1.8 (constant across all batch sizes).
3. **k=3 (Orange)**: Throughput = 2.5 (constant across all batch sizes).
4. **k=4 (Green)**: Throughput = 3.0 (constant across all batch sizes).
All lines are perfectly horizontal, confirming no variation in throughput with batch size. The legend colors and markers are consistently applied to their respective data series.
### Key Observations
- Throughput is independent of batch size for all k values.
- Higher k values correlate with higher relative throughput (k=1: 1.0 → k=4: 3.0).
- No outliers or anomalies observed.
### Interpretation
The chart demonstrates that throughput scales linearly with the parameter k, while remaining unaffected by batch size. This suggests that the system’s performance is optimized for higher k values, and batch size adjustments do not impact efficiency. The relative throughput values imply a proportional relationship between k and system capacity, potentially indicating parallel processing or resource allocation tied to k. The absence of batch size effects may reflect a design where computational load is evenly distributed regardless of input size.
