## Scatter Plots of Linear Functions

#### Aligned To Common Core Standard:

**High School Statistics** - HSS-ID.B.6c

What are Scatter Plots Used For? A scatter plot uses dots to represent the values of two numeric variables in a plot with a horizontal and a vertical axis. The purpose of these plots is to identify the relationship between numeric variables. Not only does a scatter plot report the value of individual points of data, but even helps in reporting the trends and patterns in a data set. Scatter plots can be used to identify correlational relationships. It helps in predicting the effect on one variable when we make changes to the other variable. We can use the scatter plots to determine if a relationship between two numeric variables is positive, negative, strong, weak, linear, or non-linear. We can use the scatter plots to determine how close the points in the data set lie and if they can be broken into groups. It helps in identifying any gaps, missed values, or outlier points in the data set. A series of worksheets that helps students learn to identify and interpret scatter plots of linear functions to see what relationships may exist and what we can learn from them.

### Printable Worksheets And Lessons

- Trend Line Equations Step-by-step Lesson- Where the previous standard had us understand the trend line, now we find the equation for it.
- Guided Lesson - I'm trying to be positive here! See if you get what I mean. That should be an extra credit question.
- Guided Lesson Explanation - This is a bit lengthy four page explanation of the problems for you.
- Practice Worksheet - Yes, these trends are a bit on the side of all over the place.
- Matching Worksheet - Match the graphs and their trend line equations.

#### Homework Sheets

Time to mathematically breakdown the trends on lines.

- Homework 1 - A trend line roughly describes the relationship between two variables in a set of data.
- Homework 2 - Plug (1, 2) and (0, -6) into the slope formula.
- Homework 3 - Plug the slope m = 3 and the y-intercept b = -4 into the slope-intercept formula. y = 3x - 4.

#### Practice Worksheets

With the basic trend plotted for you, it is pretty is to make conclusions here.

- Practice 1 - What is the equation of the trend line shown?
- Practice 2 - We can use a trend line to make predictions from a scatter plot.
- Practice 3 - It is change in y-values divided by the change in x-values.

#### Math Skill Quizzes

Describe the trends you see of the lines.