Questions: The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon ( mpg ) on the vertical axis.
The overall direction of this data is . The strength of the association is
Transcript text: The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon ( mpg ) on the vertical axis.
The overall direction of this data is $\qquad$ . The strength of the association is $\qquad$
Solution
Solution Steps
Step 1: Identify the Variables
The scatterplot shows the relationship between the weight of cars (in hundreds of pounds) on the horizontal axis and their miles per gallon (mpg) on the vertical axis.
Step 2: Determine the Overall Direction of the Data
Observe the trend in the scatterplot. As the weight of the cars increases, the miles per gallon generally decreases. This indicates a negative correlation.
Step 3: Assess the Strength of the Association
Evaluate how closely the data points follow the trend. The points are fairly close to a downward-sloping line, suggesting a strong negative association.
Final Answer
The overall direction of this data is negative. The strength of the association is strong.