Question: 4 Fidel gives different amounts of water to some plants.
The scatter diagram shows the height (cm) and the amount of water (ml) for each of 15 plants.
Height
(cm)
Amount of water (ml)
(a) Plot these two results on the scatter diagram.
Amount of water (ml) 60 85
Height (cm) 27 41
(b) What type of correlation is shown in the scatter diagram?
(c) One of the plants had a lower height than expected for the amount of water given.
On the scatter diagram, put a ring around the point for this plant.
top-left: scatter graph of Height (cm) against Amount of water (ml), x-axis from 0 to 100 and y-axis from 0 to 50, showing an overall positive trend with points roughly at (10,12), (10,16), (20,16), (30,20), (40,14), (38,26), (45,23), (48,29), (55,19), (60,8), (70,32), (75,28), (80,41), (90,46), and (95,49); the two new points to plot are (60,27) and (85,41), and the low outlier to ring is around (60,8)
1. **State the problem:** We have a scatter diagram showing the relationship between the amount of water given to plants (ml) and their height (cm). We need to plot two new points, identify the type of correlation, and highlight an outlier.
2. **Plotting points:** The two new points to plot are:
- Amount of water = $60$ ml, Height = $27$ cm
- Amount of water = $85$ ml, Height = $41$ cm
3. **Type of correlation:** Observing the scatter diagram, as the amount of water increases, the height generally increases. This indicates a **positive correlation**.
4. **Identifying the outlier:** One plant has a height lower than expected for the amount of water given. The point at approximately (60, 8) is much lower than other points with similar water amounts, so this is the outlier to ring.
5. **Summary:**
- Plot points $(60, 27)$ and $(85, 41)$ on the scatter diagram.
- The correlation is positive.
- Ring the point at $(60, 8)$ as the outlier.
This completes the analysis of the scatter diagram.