## Scatter Plots for Bivariate Data

#### Aligned To Common Core Standard:

**Grade 8 Statistics & Probability ** - 8.SP.A.1

How to make Scatter Plots for Bivariate Data? Scatter plots are a very useful tool for visually representing data, especially bivariate data. It is that type of data where there are two variables, and each value of both the variables is paired. A scatter plot is used to display the relationship between these variables, and the shape of the plot then determines the type of the relationship. The scatter plot uses the cartesian (x,y) coordinates to plot the variables. The common forms of relationships between two variables that a scatter plot can help in determining includes linear, non-linear, constant variance, and random. Step 1: Identify the independent and the dependent variables in the data. Step 2: Mark the independent values on the horizontal axis and the dependent values on the vertical axis. Step 3: Start plotting the paired value. The shape you achieve at the end of plotting will determine the relationship between the two variables. These worksheets and lessons are helpful for students to learn how to plot data points in a scattergram and interpret the trends of the data.

### Printable Worksheets And Lessons

- Correlating Test Scores
Step-by-Step Lesson- If you score well on one test, does that
indicate that you will score well on a test from a different subject?

- Guided Lesson -
We look at a wide assortment of data to see if we find any concrete
relationships.

- Guided Lesson Explanation
- Gender based populations, cracker and light sales, and the fluctuating
weight of two people.

- Independent Practice
- If you complete all the problems on these three pages, you will
need a good hour to work on them.

- Matching Worksheet - Match the associations to the data tables that they explain.

#### Homework Sheets

We're looking for trends and relationships in data via graphs

- Homework 1 - A scatter plot shows a positive trend if y tends to increase as x increases or y tends to decrease as the x decreases. A scatter plot shows a negative trend if one value tends to increase and the other tends to decrease. A scatter plot shows no trend if there is no obvious pattern.
- Homework 2 - The data below is for 8 fruits shops. The data shows the number of sales of mangoes and oranges at 8 shops. Describe the association between the sales of mangoes and oranges.
- Homework 3 - Alan and Jordon took their weight on the first day of each Christmas for 7 years. Describe the association between the weight of Alan and Jordon.

#### Practice Worksheets

All the files here are very large.

- Practice 1 - The chart shows the number of cell phones and tablets purchased by 9 groups of people.
- Practice 2 - The food committee followed the lunch habits of 10 students. The chart displays the number of times they had sandwiches and burgers for lunch.
- Practice 3 - Mrs. Julia runs the air conditioning and fan throughout the day to stay cool. She charts the monthly electric bill caused by the fan and A.C. Describe the association between the cost of electric for the fan and A.C.

#### Math Skill Quizzes

The explanation and graphs are large here too.

- Quiz 1 - The population survey data for 5 years shows the number of goldfish and star fish. Describe the association between the population of goldfish and star fish.
- Quiz 2 - The population survey data for 5 years shows the number of baseballs and basketballs. Describe the association between the baseballs and basketballs.
- Quiz 3 - The data for 5 days shows the sale of toy cars and dolls. Describe the association between the sale of toy cars and dolls.