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Pre-Algebra 4-7 Scatter Plots Student Learning Goal Chart Lesson Reflection for Chapter 4 Section 7

Pre-Algebra 4-7 Scatter Plots Pre-Algebra Learning Goal Students will understand collecting, displaying, & analyzing data.

Pre-Algebra 4-7 Scatter Plots Students will understand collecting, displaying & analyzing data by being able to do the following: Learn to identify populations & recognize biased samples (4-1) Learn to organize data in tables and stem-and-leaf plots (4-2) Learn to find Euler circuits (14-6) Learn to find and use Hamiltonian circuits (14-7) Learn to find appropriate measures of central tendency (4-3) Learn to find measures of variability (4-4) Learn to display data in bar graphs, histograms, and line graphs (4-5) Learn to recognize misleading graphs and statistics (4-6) Learn to create and interpret scatter plots (4-7)

Pre-Algebra 4-7 Scatter Plots Today’s Learning Goal Assignment Learn to create and interpret scatter plots.

Pre-Algebra 4-7 Scatter Plots Pre-Algebra HW Page 217 #1-20 Test Tomorrow!

Pre-Algebra 4-7 Scatter Plots 4-7 Scatter Plots Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Pre-Algebra 4-7 Scatter Plots Warm Up Graph each point on the same coordinate plane. Pre-Algebra 4-7 Scatter Plots 1. A (5, 20) 2. B (20, 15) 3. C (10, 40) 4. D (30, 35) A B C D

Pre-Algebra 4-7 Scatter Plots Problem of the Day What is the least number that can be divided evenly by each of the numbers 1 through 12? 27,720

Pre-Algebra 4-7 Scatter Plots Today’s Learning Goal Assignment Learn to create and interpret scatter plots.

Pre-Algebra 4-7 Scatter Plots Vocabulary scatter plot correlation line of best fit

Pre-Algebra 4-7 Scatter Plots A scatter plot shows relationships between two sets of data.

Pre-Algebra 4-7 Scatter Plots Use the given data to make a scatter plot of the weight and height of each member of a basketball team. Additional Example 1: Making a Scatter Plot of a Data Set The points on the scatter plot are (71, 170), (68, 160), (70, 175), (73, 180), and (74, 190).

Pre-Algebra 4-7 Scatter Plots Use the given data to make a scatter plot of the weight and height of each member of a soccer team. Try This: Example Weight (lbs)Height (in) The points on the scatter plot are (63, 125), (67, 156), (69, 175), (68, 135), and (62, 120). Height Weight

Pre-Algebra 4-7 Scatter Plots Correlation describes the type of relationship between two data sets. The line of best fit is the line that comes closest to all the points on a scatter plot. One way to estimate the line of best fit is to lay a ruler’s edge over the graph and adjust it until it looks closest to all the points.

Pre-Algebra 4-7 Scatter Plots Positive correlation; both data sets increase together. Negative correlation; as one data set increases, the other decreases. No correlation; as one data set increases, the other decreases.

Pre-Algebra 4-7 Scatter Plots Additional Example 2A: Identifying the Correlation of Data A. The size of a jar of baby food and the number of jars of baby food a baby will eat. Negative correlation: The more food in each jar, the fewer number of jars of baby food a baby will eat. Do the data sets have a positive, a negative, or no correlation?.

Pre-Algebra 4-7 Scatter Plots Try This: Example 2A A. The size of a car or truck and the number of miles per gallon of gasoline it can travel. Negative correlation: The larger the car or truck, the fewer miles per gallon of gasoline it can travel. Do the data sets have a positive, a negative, or no correlation?.

Pre-Algebra 4-7 Scatter Plots Do the data sets have a positive, a negative, or no correlation?. Additional Example 2B: Identifying the Correlation of Data B. The speed of a runner and the number of races she wins. Positive correlation: The faster the runner, the more races she will win.

Pre-Algebra 4-7 Scatter Plots Do the data sets have a positive, a negative, or no correlation?. B. Your grade point average and the number of A’s you receive. Positive correlation: The more A’s you receive, the higher your grade point average. Try This: Example 2B

Pre-Algebra 4-7 Scatter Plots Do the data sets have a positive, a negative, or no correlation?. Additional Example 2C: Identifying the Correlation of Data C. The size of a person and the number of fingers he has No correlation: A person generally has ten fingers regardless of their size.

Pre-Algebra 4-7 Scatter Plots Do the data sets have a positive, a negative, or no correlation?. C. The number of telephones using the same phone number and the number of calls you receive. No correlation: No matter how many telephones you have using the same telephone number, the number of telephone calls received will be the same. Try This: Example 2C

Pre-Algebra 4-7 Scatter Plots Use the data to predict how much a worker will earn in tips in 10 hours. Additional Example 3: Using a Scatter plot to Make Predictions According to the graph, a worker will earn approximately $24 in tips in 10 hours.

Pre-Algebra 4-7 Scatter Plots Use the data to predict how many circuit boards a worker will assemble in 10 hours. Try This: Example 3 According to the graph, a worker will assemble approximately 10 circuit boards in 10 hours. Hours Worked Circuit Board Assemblies Hours Circuit Board Assemblies

Pre-Algebra 4-7 Scatter Plots Lesson Quiz: Part 1 1. Use the given information to make a scatter plot. Grading Period1234 Number of A’s56810

Pre-Algebra 4-7 Scatter Plots Lesson Quiz: Part 2 Do the data sets have a positive, negative, or no correlation? 2. the minimum wage and the year 3. the amount of precipitation and the day of the week 4. the amount of germs on your hands and the number of times you wash your hands in a day no correlation positive negative