Let's solve the problem step by step based on the image you provided. This worksheet is about
scatter plots,
trends, and
relationships between variables.
---
Fill in the Blanks:
1. A scatter plot is a graph that shows the
relationship between two variables.
2. The points in a scatter plot often show a pattern, or
trend.
3. From the pattern or trend you can describe the
strength and direction of the relationship.
>
✔ These are standard definitions in statistics when analyzing scatter plots.
---
Example: Julie’s Height vs. Age
We are given a table of data:
| Age (years) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|-------------|----|----|----|----|----|----|----|----|
| Height (cm) | 70 | 82 | 93 | 98 | 106| 118| 127| 135|
And a scatter plot showing these points.
---
a) Label the vertical axis.
The vertical axis (y-axis) represents
Height (cm).
✔ So, label the vertical axis as:
Height (cm)
---
b) Describe the trend in the data.
Looking at the scatter plot:
- As age increases, height also increases.
- The points form an upward-sloping pattern from left to right.
➡️ This indicates a
positive trend.
✔ Answer:
There is a positive trend. As age increases, height increases.
---
c) Describe the relationship.
We can say:
- There is a
positive correlation between age and height.
- The relationship appears to be
linear (points roughly follow a straight line).
- As Julie gets older, she grows taller consistently.
✔ Answer:
There is a strong positive linear relationship between age and height. As age increases, height increases at a fairly steady rate.
---
✔ Final Answers:
#### Fill-in-the-blanks:
1.
relationship
2.
trend
3.
strength and direction of the relationship
#### Questions:
a)
Vertical axis label: Height (cm)
b)
Trend: Positive trend — height increases with age
c)
Relationship: Strong positive linear relationship — as age increases, height increases steadily
---
This type of analysis helps us understand how two variables are connected, which is essential in science, economics, and everyday decision-making.
Parent Tip: Review the logic above to help your child master the concept of scatter plot worksheets.
