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Predicting With Lines of Best Fit Draw a line of best fit for a set of data. Use a line of best fit to make predictions. Lesson 5.2.

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Presentation on theme: "Predicting With Lines of Best Fit Draw a line of best fit for a set of data. Use a line of best fit to make predictions. Lesson 5.2."— Presentation transcript:

1 Predicting With Lines of Best Fit Draw a line of best fit for a set of data. Use a line of best fit to make predictions. Lesson 5.2

2 Line of Best Fit A line that approximates the pattern of the data. Vocabulary Line of Best Fit

3 Refer to the scatter plots below: Step 1Which scatter plots show a positive correlation? Which show a negative correlation? Step 2Which scatter plots follow a linear pattern?

4 Refer to the scatter plots below: Step 3Which scatter plot has a good line of best fit drawn? Step 4Which scatter plots do not have a good line of best fit drawn? Explain what is wrong with each.

5 Line of Best Fit A good line of best fit:  follows the direction of a linear pattern, and  has approximately half the points above and half the points below the line.

6 Use the scatter plot of Federal Minimum Wage by Year to complete the following. a. Draw a line of best fit for the scatter plot. Justify why the line of best fit is good. Example 1 A good line of best fit will follow the pattern of the data and will have about half the points above and below the line. This line is a good approximation.

7 Use the scatter plot of Federal Minimum Wage by Year to complete the following. b. Use the line of best fit to predict what the federal minimum wage will be in the year 2020. Example 1 Continued… Extend the line of best fit as well as the x- and y-axes. Find the year 2020 on the x-axis (Years) and follow it up to where it meets the line of best fit. Now follow that point to the y-axis (Minimum Wage in Dollars). Locate the y-value that matches with the year 2020 on the line. It appears that the minimum wage will be about $6.75 in 2020.

8 Make a scatter plot of this data set. Draw in a line of best fit for the data. x 124557810 1113 y 18171215117108593 Exit Problem


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