Objective The student will be able to: graph ordered pairs on a coordinate plane. analyze data using scatter plots SPI: Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system. SPI Using a scatter-plot, determine if a linear relationship exists and describe the association between variables. SPI Generate the equation of a line that fits linear data and use it to make a prediction.

In the beginning of the year, I created a seating chart for my classes. I created 5 rows of desks with 4 desks in each row. Brian sits in the third row at the second desk (3,2) and Dwanda sits in the second row at the third desk (2,3). Are these seats the same? No!! The seats (3,2) and (2,3) are called ordered pairs because the order in which the pair of numbers is written is important!!

Who is sitting in desk (4,2)? ABCDE F A GHIJ K P LMNO QRST N

Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis)

In an ordered pair, the first number is the x-coordinate. The second number is the y-coordinate. Graph. (-3, 2)

What is the ordered pair for A? 1.(3, 1) 2.(1, 3) 3.(-3, 1) 4.(3, -1) A

What is the ordered pair for B? B 1.(3, 2) 2.(-2, 3) 3.(-3, -2) 4.(3, -2)

What is the ordered pair for C? 1.(0, -4) 2.(-4, 0) 3.(0, 4) 4.(4, 0) C

What is the ordered pair for D? D 1.(-1, -6) 2.(-6, -1) 3.(-6, 1) 4.(6, -1)

Write the ordered pairs that name points A, B, C, and D. A = (1, 3) B = (3, -2) C = (0, -4) D = (-6, -1) A B C D

The x-axis and y-axis separate the coordinate plane into four regions, called quadrants. II (-, +) I (+, +) IV (+, -) III (-, -)

Name the quadrant in which each point is located (-5, 4) 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

Name the quadrant in which each point is located (-2, -7) 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

Name the quadrant in which each point is located (0, 3) 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

A scatter plot shows relationships between two sets of data. SCATTER PLOTS

Use the given data to make a scatter plot of the weight and height of each member of a basketball team. 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).

Use the given data to make a scatter plot of the weight and height of each member of a soccer team. 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

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. Correlation

Positive correlation; both data sets increase together. Negative correlation; as one data set increases, the other decreases. No correlation; there is no identifiable relation. Correlation

Example 2: 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?.

Example 2: 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.

Do the data sets have a positive, a negative, or no correlation?. Example 2: 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.

Try This A. The size of a car or truck and the number of miles per gallon of gasoline it can travel. 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. C. The number of telephones using the same phone number and the number of calls you receive.

Try This 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?. B. Your grade point average and the number of A’s you receive. C. The number of telephones using the same phone number and the number of calls you receive.

Try This A. The size of a car or truck and the number of miles per gallon of gasoline it can travel. 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. C. The number of telephones using the same phone number and the number of calls you receive. Positive correlation: The more A’s you receive, the higher your grade point average.

Try This A. The size of a car or truck and the number of miles per gallon of gasoline it can travel. 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. 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.

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

Use the data to predict how many circuit boards a worker will assemble in 10 hours. Try This According to the graph, a worker will assemble approximately 10 circuit boards in 10 hours. Hours Worked Circuit Board Assemblies Hours Circuit Board Assemblies

Lesson Quiz: Part 1 1. Use the given information to make a scatter plot. Grading Period1234 Number of A’s56810

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