📚 Topic Summary
Scatter plots are graphs that display the relationship between two sets of data. Each point on the plot represents a pair of values. By examining the pattern of the points, we can identify trends like positive correlations (as one variable increases, the other tends to increase), negative correlations (as one variable increases, the other tends to decrease), or no correlation (no apparent relationship between the variables). Understanding scatter plots allows us to make predictions and draw conclusions about the data.
Constructing a scatter plot involves plotting data points on a graph with two axes. The x-axis and y-axis represent the two variables being compared. Interpreting a scatter plot involves analyzing the pattern of the plotted points to identify any correlations, clusters, or outliers. This analysis helps in understanding the relationship between the variables and making informed decisions based on the data.
🧮 Part A: Vocabulary
| Term |
Definition |
| Scatter Plot |
A graph of plotted points that shows the relationship between two sets of data. |
| Correlation |
A statistical measure that expresses the extent to which two variables are linearly related. |
| Positive Correlation |
A relationship between two variables in which both variables either increase or decrease together. |
| Negative Correlation |
A relationship between two variables in which one variable increases as the other decreases. |
| Outlier |
A data point that differs significantly from other data points in the same set. |
✍️ Part B: Fill in the Blanks
A ______ is a graph used to show the relationship between two sets of data. If as one variable increases, the other also tends to increase, this is called a ______ correlation. If as one variable increases, the other tends to decrease, this is a ______ correlation. A data point that lies far away from the other data points is called an ______. When there is no apparent relationship between the variables, it is called ______.
🤔 Part C: Critical Thinking
Consider a scatter plot showing the relationship between hours studied and exam scores. What conclusions can you draw if the scatter plot shows a strong positive correlation? What are some other factors that might influence exam scores besides hours studied?