Scatter Plots and Lines of Best Fit 10-6 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

Scatter Plots and Lines of Best Fit 10-6 Warm Up Graph each point on the same coordinate plane. 1. A (5, 20) 2. B (20, 15) 3. C (10, 40) 4. D (30, 35) A B C D

Scatter Plots and Lines of Best Fit 10-6 Problem of the Day What is the least number that can be divided evenly by each of the numbers 1 through 12? 27,720

Scatter Plots and Lines of Best Fit 10-6 MA.8.S.3.1 …Construct…scatter plots and lines of best fit…to convey information and make conjectures about possible relationships. Sunshine State Standards

Scatter Plots and Lines of Best Fit 10-6 Vocabulary scatter plot correlation line of best fit

Scatter Plots and Lines of Best Fit 10-6 A scatter plot is a graph with points plotted to show a relationship between two sets of data. Correlation describes the type of relationship between two data sets.

Scatter Plots and Lines of Best Fit 10-6 Positive correlation: both data sets increase together. Negative correlation: as one data set increases, the other decreases. No correlation: changes in one data set do not affect the other data set.

Scatter Plots and Lines of Best Fit 10-6 Use the given data to make a scatter plot of the weight and height of each member of a basketball team, and describe the correlation. Additional Example 1: Making a Scatter Plot of a Data Set Use the table to make ordered pairs for the scatter plot. The x-value represents the height of each member and the y-value represent their weight. Plot the ordered pairs. There is a positive correlation between the two data sets.

Scatter Plots and Lines of Best Fit 10-6 Use the given data to make a scatter plot of the winning times for the Olympic women’s 100-meter freestyle swimming race. Then describe the correlation. Check It Out: Example 1 Years since Winning times (s)

Scatter Plots and Lines of Best Fit 10-6 Use the given data to make a scatter plot of the winning times for the Olympic women’s 100-meter freestyle swimming race. Then describe the correlation. Check It Out: Example 1 Continued negative correlation

Scatter Plots and Lines of Best Fit 10-6 Make a scatter plot of the data, and draw a line of best fit. Then use the data to predict how much a worker will earn in tips in 10 hours. Additional Example 2: Using a Scatter plot to Make Predictions Tips earned may be dependent on the number of hours worked. Step 1: Make a scatter plot. Let hours worked represent the independent variable x and tips earned represent the dependent variable y.

Scatter Plots and Lines of Best Fit 10-6 Additional Example 2 Continued Step 2: Draw a line of best fit. Draw a line that has about the same number of points above and below it.

Scatter Plots and Lines of Best Fit 10-6 Additional Example 2 Continued Step 3: Make a prediction. According to the graph, working 10 hours will earn about $24 in tips. Find the point on the line whose x-value is 10. The corresponding y-value is about 24.

Scatter Plots and Lines of Best Fit 10-6 Use the data in the table for 2a and 2b. Check It Out: Example 2A Rainy Days and Umbrellas Sold Rainy Days in Month Umbrellas Sold Make a scatter plot of the data and draw the line of best fit. Tell which variable you used for the independent variable, and explain your choice.

Scatter Plots and Lines of Best Fit 10-6 Check It Out: Example 2A Continued I used number of rainy days in a month as the independent variable because the rain may have an effect on the number of umbrellas sold.

Scatter Plots and Lines of Best Fit 10-6 Check It Out: Example 2B 8; I found the point on the line whose x-value is 9 rainy days. The corresponding y-value is 8 umbrellas sold. Predict the number of umbrellas sold in a month when there are 9 rainy days. Explain how you determined your answer.

Scatter Plots and Lines of Best Fit 10-6 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

Scatter Plots and Lines of Best Fit 10-6 Lesson Quiz: Part I 1. Use the given information to make a scatter plot, and describe the correlation. Grading Period1234 Number of A’s56810 positive correlation

Scatter Plots and Lines of Best Fit 10-6 Lesson Quiz: Part II 2. Draw a line of best fit for the scatter plot you drew in Problem 1. Then use the data to predict the number of A’s in grading period 6. approximately 13 A’s

Scatter Plots and Lines of Best Fit Identify a scatter plot for the given data. A. B. Lesson Quiz for Student Response Systems

Scatter Plots and Lines of Best Fit Do the data sets have a positive, a negative, or no correlation? distance covered and time taken at constant speed A. positive B. negative C. none Lesson Quiz for Student Response Systems

Scatter Plots and Lines of Best Fit Do the data sets have a positive, a negative, or no correlation? value of a used car and the total distance traveled A. positive B. negative C. none Lesson Quiz for Student Response Systems