A line of best fit is a straight line that represents the general trend of data points on a scatter plot. Interpolation is when we use the line of best fit to estimate a value within the range of the original data. For example, if you plotted students' study time vs. their test scores, you could use a line of best fit to estimate the score of a student who studied for an amount of time that falls between the times already on your plot.
This is helpful when you don't have the exact data point but want to make a reasonable prediction based on the existing trend. Finding the line of best fit can be done by eye or using technology like calculators or computers, and is often used to predict future outcomes based on existing data trends.
Match the term with its definition. Write the correct letter in the space provided.
| Term | Definition |
|---|---|
| 1. Scatter Plot | A. Predicting values outside the range of the data |
| 2. Line of Best Fit | B. A graph of plotted points that show the relationship between two sets of data |
| 3. Interpolation | C. A line that represents the trend in a scatter plot |
| 4. Extrapolation | D. Estimating values within the range of the data |
Complete the following paragraph using the words provided: positive, negative, interpolation, data, line of best fit, scatter plot.
A ______ is a visual representation of ______ points. The ______ is a line drawn on the ______ that best represents the trend. If the line slopes upwards, there is a ______ correlation; if it slopes downwards, there is a ______ correlation. ______ is the process of estimating values within the existing data range using the line of best fit.
Explain, in your own words, a real-world situation where using a line of best fit and interpolation would be helpful. Give a specific example.
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