Fernando surveyed a group of people to find their shoe size and the number of children in their family. He graphed the ordered pairs (shoe size, number of children) for each person. Which of the scatter plots most likely represents his graph?
Scatter plot I shows points approximating a line decreasing from the upper left to the bottom right.
Scatter plot I I shows points with no approximate pattern.
Scatter plot I I I shows points approximating a line increasing form the bottom left to the upper right.
A. I - negative trend
B. II - no trend
C. III - positive trend
It is impossible to determine the correct answer without visually seeing the scatter plot that Fernando created.
Scatter plot I shows points approximating a line decreasing from the upper left to the bottom right.
Scatter plot I I shows points with no approximate pattern.
Scatter plot I I I shows points approximating a line increasing form the bottom left to the upper right.
Based on the description, the most likely scatter plot that represents Fernando's graph is scatter plot I, which has a negative trend.
To determine which scatter plot most likely represents Fernando's graph, we need to analyze the relationship between the shoe size and the number of children in the family.
- Scatter plot I shows points approximating a line decreasing from the upper left to the bottom right. This indicates a negative correlation between the shoe size and the number of children. As the shoe size increases, the number of children tends to decrease. This is a reasonable representation of the relationship between shoe size and family size.
- Scatter plot II shows points with no approximate pattern. This suggests that there is no correlation between the shoe size and the number of children. Since Fernando is specifically studying the relationship between these variables, scatter plot II is less likely to represent his graph.
- Scatter plot III shows points approximating a line increasing from the bottom left to the upper right. This indicates a positive correlation between the shoe size and the number of children. As the shoe size increases, the number of children tends to increase. This contradicts Fernando's assumption that the number of children decreases with shoe size.
Therefore, the scatter plot that most likely represents Fernando's graph is Scatter plot I - negative trend (Option A).