Problem Analysis:
The task involves understanding scatter plots and interpreting the relationships between variables based on the trends shown in the plots. Specifically, we need to identify whether there is a
positive association,
negative association, or no clear association between the variables in each scatter plot.
#### Key Concepts:
1.
Positive Association: When one variable increases, the other variable also tends to increase. The slope of the line fitting the data is positive.
2.
Negative Association: When one variable increases, the other variable tends to decrease. The slope of the line fitting the data is negative.
3.
No Clear Association: There is no consistent pattern between the variables; the points are scattered without a clear trend.
---
Solution:
####
Scatter Plot 1: Dog Height vs. Dog Weight
-
Variables: Dog height (inches) and dog weight (pounds).
-
Trend: The scatter plot shows a general upward trend. As dog height increases, dog weight also tends to increase.
-
Slope: The slope of the line fitting the data is positive.
-
Conclusion: There is a
positive association between dog height and dog weight.
####
Scatter Plot 2: Car Weight vs. Fuel Efficiency
-
Variables: Car weight (kg) and fuel efficiency (mpg).
-
Trend: The scatter plot shows a general downward trend. As car weight increases, fuel efficiency tends to decrease.
-
Slope: The slope of the line fitting the data is negative.
-
Conclusion: There is a
negative association between car weight and fuel efficiency.
---
Final Answer:
- For the first scatter plot (dog height vs. dog weight):
Positive association
- For the second scatter plot (car weight vs. fuel efficiency):
Negative association
$$
\boxed{\text{Positive association, Negative association}}
$$
Parent Tip: Review the logic above to help your child master the concept of free scatter plot worksheet.
