Scatter Plots Review

Scatter Plots

This is for students that missed class on Monday, March 7. Please complete these slides to catch up on material.​

A scatter plot is a graph that is used to show data between two variables, also known as bivariate data.

• ​For ex: height and weight.​

​

Scatter plots show patterns, trends, and associations between variables that could impact each other.​

Scatter Plots

​Positive Association	​Negative Association	​No Association
​Both variables are increasing.	One variable is increasing, the other is decreasing.​	There is no relationship between the variables.​

​Types of Association

Multiple Choice

What type of association does this graph have?

• positive 

• negative

• none

• all of the above

Multiple Choice

What kind of correlation?

• Positive

• Negative

• No

Multiple Choice

What kind of correlation?

• Positive

• Negative

• No

Multiple Choice

Can you guess the correlation?

• Positive

• Negative

• None

Multiple Choice

• Positive, strong

• Positive, weak

• Negative, strong

• Negative weak

Multiple Choice

Which graph depicts the strongest positive correlation?

Multiple Choice

Describe the relationship between the variables.

• Weak positive correlation

• Weak negative correlation

• Strong positive correlation

• Strong negative correlation

Multiple Choice

This scatter plot is almost a line. What can you say about it?

• Strong positive

• Weak positive

• Strong negative

• Weak negative

Multiple Choice

What kind of correlation is this?

• Strong positive

• Weak positive

• Strong negative

• Weak negative

Scatter Plots can be described as linear and non-linear models. They are not perfectly linear or non-linear but they​ follow a trend.

Linear vs. Non-linear Models

​

Multiple Choice

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

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

Which best describes the form of this scatterplot?

• linear

• nonlinear

• scattered

• no correlation

Multiple Choice

What type of association does this scatter plot represent?

• positive linear association

• negative association

• no association

• nonlinear association

Multiple Choice

Is this scatterplot Linear or NonLinear

• Linear

• Non Linear

Multiple Choice

Is this scatterplot Linear or NonLinear

• Linear

• Non Linear

​Outliers	​Clusters
​An outlier is a data point in a scatter plot that does not follow the trend of the data.	A group of data points that are closely grouped together.​

​outlier

cluster

Multiple Choice

What are the coordinates of the outlier?

• (1,9)

• (9,1)

• (2,2)

• y=x

Multiple Choice

Is the point in red an outlier?

• Yes

• No

Multiple Choice

Identify any outliers.

• Outlier at x = 18

• Outlier at x = 12

• Outlier at x = 6

• There aren't any outliers in this graph.

Multiple Choice

In a scatterplot, an outlier...

• ...is something we didn't learn in 8th grade

• ...is a point on the origin

• ...is a point that is far outside the main cluster of points/ordered pairs

• ...is a group of points that are close together

Multiple Choice

What kind of slope would the graph of the model have? Read the answers carefully.

• Positive

• Negative

• There's no association

• Positive with an outlier

Multiple Choice

What type of correlation does this scatter plot show?

• positive linear association

• negative linear association

• no association

• nonlinear association

Multiple Choice

Which best describes the association shown in the scatter plot below?

• Negative and linear

• Negative and non-linear

• Positive and linear

• Positive and non-linear

To show the overall trend of a data set, we can use a ​Line of Best Fit.

​

A line of best fit should:

• Follow the trend of the data

• Split the data in half

• Help to estimate or predict values that are not already given in the set.

Line of Best Fit

​

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

• A
• B
• C
• D

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

Multiple Choice

Is this line an accurate line estimate of best fit for the data?

• Yes

• No

Multiple Choice

which scatterplot shows the correct trend line (line of best fit) for the relationship showing the number of bags of chocolates that are sold and the price per bag?

• A

• B

• C

• D

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

Multiple Choice

which scatterplot shows the correct trend line (line of best fit) for the relationship showing the number of Visitors of a library and the number of books checked out?

• W

• X

• Y

• Z