Name ___________________ Algebra 1 Module 2 Lesson 12 Relationships Between Two Numerical Variables A scatter plot is an informative way to display numerical data with two variables. The two numerical variables are denoted by x and y, the scatter plot of the data is a plot of the (x,y) data pairs. Thinking about Linear Relationships Below are three scatter plots. Each one represents a data set with eight observations. The scales on the and axes have been left off these plots on purpose so you will have to think carefully about the relationships. If one of these scatter plots represents the relationship between height and weight for eight adults, which scatter plot do you think it is and why? If one of scatter plots represents the relationship between height and SAT math score for eight high school seniors, which scatter plot do you think it is and why? If one of these scatter plots represents the relationship between the weight of a car and fuel efficiency for eight cars, which scatter plot do you think it is and why? 4. Which of these three scatter plots does not appear to represent a linear relationship? Explain the reasoning behind your choice. Not Every Relationship is Linear When a straight line provides a reasonable summary of the relationship between two numerical variables, we say that the two variables are linearly related or that there is a linear relationship between the two variables. Take a look at the scatter plots below and answer the questions that follow.
Name ___________________ Algebra 1 Module 2 Lesson 12 Relationships Between Two Numerical Variables A scatter plot is an informative way to display numerical data with two variables. The two numerical variables are denoted by x and y, the scatter plot of the data is a plot of the (x,y) data pairs. Thinking about Linear Relationships Below are three scatter plots. Each one represents a data set with eight observations. The scales on the and axes have been left off these plots on purpose so you will have to think carefully about the relationships. If one of these scatter plots represents the relationship between height and weight for eight adults, which scatter plot do you think it is and why? If one of scatter plots represents the relationship between height and SAT math score for eight high school seniors, which scatter plot do you think it is and why? If one of these scatter plots represents the relationship between the weight of a car and fuel efficiency for eight cars, which scatter plot do you think it is and why? 4. Which of these three scatter plots does not appear to represent a linear relationship? Explain the reasoning behind your choice. Not Every Relationship is Linear When a straight line provides a reasonable summary of the relationship between two numerical variables, we say that the two variables are linearly related or that there is a linear relationship between the two variables. Take a look at the scatter plots below and answer the questions that follow.
Algebra1Module2Lesson12.docx