scatter plots and lines of best fit 10-6 warm up warm up lesson presentation lesson presentation...

Scatter Plots and Lines of Best Fit10-6

Warm UpWarm Up

Lesson PresentationLesson PresentationProblem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpGraph each point on the same coordinate plane.

1. A (5, 20)2. B (20, 15)3. C (10, 40)4. D (30, 35)

AB

CD


Problem of the DayWhat is the least number that can be divided evenly by each of the numbers 1 through 12?27,720


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


Vocabularyscatter plotcorrelationline of best fit


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.


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.


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.


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 1988 4 8 12 16 20Winning times (s) 54.64 54.50 53.83 53.84 53.12


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


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 Fit10-6Additional 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 Fit10-6Additional 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.


Use the data in the table for 2a and 2b.Check It Out: Example 2A

Rainy Days and Umbrellas Sold

Rainy Days in Month

3 4 7 10 5 4 8

Umbrellas Sold 1 7 5 10 5 3 6

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 Fit10-6Check 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 Fit10-6Check 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.


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

Scatter Plots and Lines of Best Fit10-6Lesson Quiz: Part I

1. Use the given information to make a scatter plot, and describe the correlation.

Grading Period 1 2 3 4Number of A’s 5 6 8 10

positive correlation

Scatter Plots and Lines of Best Fit10-6Lesson 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


1. Identify a scatter plot for the given data.

A. B.



2. Do the data sets have a positive, a negative, or no correlation?distance covered and time taken at constant speedA. positiveB. negativeC. none



3. Do the data sets have a positive, a negative, or no correlation?value of a used car and the total distance traveledA. positiveB. negativeC. none


scatter plots and lines of best fit 10-6 warm up warm up lesson presentation lesson presentation...

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