Scatter plots are a fantastic way to visualize the relationship between two variables. By plotting data points on a graph, we can observe trends and patterns. Making predictions with scatter plots involves drawing a line of best fit (either by hand or using statistical software) and using that line to estimate values for one variable based on the value of the other. Remember, predictions are more reliable when the data points cluster closely around the line of best fit!
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Scatter Plot | A. A line drawn on a scatter plot that is as close as possible to most of the data points. |
| 2. Correlation | B. A graph that displays the relationship between two variables. |
| 3. Line of Best Fit | C. Predicting a value outside the range of the given data. |
| 4. Interpolation | D. The strength and direction of a relationship between two variables. |
| 5. Extrapolation | E. Predicting a value within the range of the given data. |
Answers: 1-B, 2-D, 3-A, 4-E, 5-C
Use the words positive, negative, line of best fit, scatter plot, and correlation to complete the paragraph.
A ______ is used to display the relationship between two variables. The ______ helps us to make predictions based on the data. If the points generally increase together, there is a ______ correlation. If one variable increases as the other decreases, there is a ______ correlation. The strength of the relationship is indicated by the ______.
Answers: scatter plot, line of best fit, positive, negative, correlation
Imagine you have a scatter plot showing the relationship between hours studied and exam scores. How would you use the scatter plot to predict the exam score of a student who studies for a specific number of hours? What are some limitations of using a scatter plot for making predictions in this scenario?
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