1. **Stating the problem:** We have marks of 15 students in Calculus and Statistics. We want to draw a scatter diagram to visualize the relationship between these two sets of marks.
2. **Data given:**
Calculus marks: $65, 58, 93, 68, 74, 81, 58, 85, 88, 75, 63, 79, 80, 54, 72$
Statistics marks: $74, 72, 84, 71, 68, 85, 63, 73, 79, 65, 62, 71, 74, 68, 73$
3. **Scatter diagram:** A scatter diagram plots each student's Calculus mark on the x-axis and their Statistics mark on the y-axis. Each point represents one student.
4. **Interpreting the scatter diagram:** If the points tend to rise from left to right, it indicates a positive correlation, meaning students who score higher in Calculus tend to score higher in Statistics. If the points are scattered without any pattern, there is no correlation.
5. **Answer to part ii:** Observing the scatter plot, we see a general upward trend, indicating a positive relationship between Calculus and Statistics marks. This suggests that students who perform well in Calculus also tend to perform well in Statistics.
Final answer:
- The scatter diagram shows a positive correlation between Calculus and Statistics marks.
- This means better performance in Calculus is associated with better performance in Statistics.
Calculus Statistics 6C1129
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.