Let's solve the problem step by step.
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Task:
Plot a scatter graph using the data provided to check if there is a correlation between the time students spend reading and watching TV per day.
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Step 1: Understand the Data
We are given two variables:
-
Time spent reading per day (minutes)
-
Time spent watching TV per day (minutes)
Here is the data from the table:
| Time spent reading (min) | Time spent watching TV (min) |
|--------------------------|-------------------------------|
| 30 | 60 |
| 30 | 55 |
| 35 | 60 |
| 40 | 40 |
| 40 | 35 |
| 45 | 30 |
| 45 | 35 |
| 50 | 25 |
| 55 | 20 |
| 55 | 20 |
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Step 2: Plot the Scatter Graph
We will plot:
-
X-axis: Time spent watching TV per day (minutes)
-
Y-axis: Time spent reading per day (minutes)
Each pair of values becomes a point on the graph.
Let’s go through each point:
1. (60, 30)
2. (55, 30)
3. (60, 35)
4. (40, 40)
5. (35, 40)
6. (30, 45)
7. (35, 45)
8. (25, 50)
9. (20, 55)
10. (20, 55)
> Note: The last two points both have (20, 55), so they will overlap.
Now, let’s plot these points on the grid.
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Step 3: Analyze the Pattern (Correlation)
After plotting the points, observe the trend:
- As
TV time increases,
reading time decreases.
- For example:
- When TV = 60 min → Reading = 30 min
- When TV = 20 min → Reading = 55 min
This suggests a
negative correlation — as one variable increases, the other tends to decrease.
The points seem to form a
downward-sloping pattern, which confirms this.
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Step 4: Conclusion
✔ Scatter Graph Interpretation:
- There is a
negative correlation between time spent reading and time spent watching TV.
- This means that students who watch more TV tend to read less, and vice versa.
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✔ Final Answer:
Plot all the points on the graph using the given data. You will see a downward trend, indicating a negative correlation between time spent reading and time spent watching TV.
> 💡 Tip: If you were to draw a line of best fit, it would slope downwards from left to right.
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Would you like me to generate the actual plotted graph or help you sketch it?
Parent Tip: Review the logic above to help your child master the concept of scatter plots worksheet.
