3.7 Bivariate Data Lesson

Unit 3, Lesson 7: Bivariate Data

Vocabulary

• bivariate data - a data set with two quantities that can vary (change). Every scatter plot is created from bivariate data.

• clustering - data shows clustering if the data values are grouped closely together.

• linear relationship - two variables have a linear relationship if they have a constant rate of change and they can be represented by a graph.

• non-linear relationship - they do not have a constant rate of change and they can be represented by a graph that is not a straight line.

Clustering

Data shows clustering if the data values are grouped closely together.

Linear Association vs. Non-Linear Association

• ​Linear Association

  • We referred to this as linear relationship on the vocabulary slide because the curriculum lists it in the glossary.
    

• Non-Linear Association

  • We referred to this as non-linear relationships on the vocabulary slide because the curriculum lists it in the glossary.

​We won't get this technical in this class, but I thought this was a good visual to give you examples of the various types of correlations we could have.

Multiple Choice

What is the type of association?

• Negative 

• no association

• positive 

Multiple Choice

What is the correlation between length of running start and distance of jump?

• positive:  the further you run the further you jump

• negative: the less you run the less distance of your jump

• positive: the further your running start the less your distance

Multiple Choice

What type of association does this graph have?

• positive

• negative

• none

• all of the above

Multiple Choice

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

• The more books students read, the lower their English grade.

• The more books students read, the higher their English grade.

• The fewer books students read, the higher their English grade. 

• No relationship exists between the number of books students read and their English grades. 

Multiple Choice

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

What does the x variable represent?

• The number of laps

• The amount of time in hours

• The amount of time in minutes

• How long it takes to go 0 laps

Multiple Choice

If the debate team plans to practice for 6 hours, how many debates should they win?

• 20

• 16

• 24

• 28

Multiple Choice

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which best describes the dependent variable, y?

• Number of books read

• Grades in English

• Book Reading and English Grades

• 120 or 40

Multiple Choice

Make a prediction for a resting heart rate after 6 hours of exercise a week.

• 6

• 50

• 55

• 80

Multiple Choice

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 

• 65

• 92

• 70

• 76

Multiple Choice

Based on the graph, if Joe earned $400, how many hours did he work?

• 25 hours

• 35 hours

• 45 hours

• 15 hours

Multiple Choice

Which point on the scatter plot represents a hamburger that has 19 grams of fat and 400 Calories? 

• Point A 

• Point B

• Point C

• Point D

Multiple Choice

The scatter plot shows climate data for 10 cities on a certain day. Use the scatter plot to identify which of these statements is false. 

• The temperature was at least 22 degrees in 4 cities

• Two cities got exactly 10 mm of rain

• None of the cities got more than 20 mm of rain

• None of the statements are false