4-5 Scatter Plots and Trend Lines
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1 Warm Up Graph each point. 1. A(3, 2) 3. C( 2, 1) 5. E(1, 0) 2. B( 3, 3) 4. D(0, 3) 6. F(3, 2)
2 Learning Goals 1. The student is able to identify positive, negative, and no correlation from scatter plots 2. The student is able to graph a scatter plot from given data 3. The student is able to identify positive, negative, and no correlation from a given situation. 4. The student is able to match a scatter plot to a given situation 5. Student is able to draw and use a trend line to make predictions
3 In this chapter you have examined relationships between sets of ordered pairs or data. Displaying data visually can help you see relationships. A scatter plot is a graph with points plotted to show a possible relationship between two sets of data. A scatter plot is an effective way to graph some types of data.
4 A correlation describes a relationship between two data sets. A graph may show the correlation between data. The correlation can help you analyze trends and make predictions. There are three types of correlations between data.
5 Example 1: Describing Correlations from Scatter Plots Describe the correlation illustrated by the scatter plot. A. B. C.
6 Example 1: Describing Correlations from Scatter Plots Describe the correlation illustrated by the scatter plot. a. b. c.
7 Example 2: Graphing a Scatter Plot from Given Data A. The table shows the number of cookies in a jar from the time since they were baked. Graph a scatter plot using the given data. Describe the correlation The correlation is
8 Example 2: Graphing a Scatter Plot from Given Data B. The table shows the number of points scored by a high school football team in the first four games of a season. Graph a scatter plot using the given data. Describe the correlation. Game Score The correlation is
9 Example 2: Graphing a Scatter Plot from Given Data a. The table shows the number of species added to the list of endangered and threatened species in the United States during the given years. Graph a scatter plot using the given data. Describe the correlation. The correlation is
10 Example 3A: Identifying Correlations Identify the correlation you would expect to see between the pair of data sets. Explain. A. The average temperature in a city and the number of speeding tickets given in the city B. The number of people in an audience and ticket sales C. The temperature in Houston and the number of cars sold in Boston
11 Example 3A: Identifying Correlations Identify the correlation you would expect to see between the pair of data sets. Explain. a. A runner s time and the distance to the finish line b. The number of members in a family and the size of the family s grocery bill c. The number of times you sharpen your pencil and the length of your pencil
12 Example 3A: Identifying Correlations Identify the correlation you would expect to see between the pair of data sets. Explain. A. The average temperature in a city and the number of speeding tickets given in the city
13 the number of people in an audience and ticket sales
14 a runner s time and the distance to the finish line
15 the temperature in Houston and the number of cars sold in Boston
16 the number of members in a family and the size of the family s grocery bill
17 the number of times you sharpen your pencil and the length of your pencil
18 Example 4: Matching Scatter Plots to Situations A. Choose the scatter plot that best represents the relationship between the age of a car and the amount of money spent each year on repairs. Explain. Graph A Graph B Graph C
19 Example 4: Matching Scatter Plots to Situations a. Choose the scatter plot that best represents the relationship between the number of minutes since a pie has been taken out of the oven and the temperature of the pie. Explain. Graph A Graph B Graph C
20 You can graph a function on a scatter plot to help show a relationship in the data. Sometimes the function is a straight line. This line, called a trend line, helps show the correlation between data sets more clearly. It can also be helpful when making predictions based on the data.
21 Example 5: Making Predictions From A Trend Line A. The scatter plot shows a relationship between the total amount of money collected at the concession stand and the total number of tickets sold at a movie theater. Based on this relationship, predict how much money will be collected at the concession stand when 150 tickets have been sold. Draw a trend line and predict how much money will be collected at the concession stand when 150 tickets have been sold.
22 Example 5: Making Predictions From A Trend Line a. Draw a trend line and predict how many wrapping paper rolls need to be sold to raise $500.
23 Lesson Quiz: Part I For Items 1 and 2, identify the correlation you would expect to see between each pair of data sets. Explain. 1. The outside temperature in the summer and the cost of the electric bill 2. The price of a car and the number of passengers it seats
24 Lesson Quiz: Part II 3. The scatter plot shows the number of orders placed for flowers before Valentine s Day at one shop. Based on this relationship, predict the number of flower orders placed on February 12.
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