Scatterplot, Correlation/Line of Best Fit

Scatter Plots and Correlation

Definition

A scatter plot is a graph with points plotted to show a potential relationship between two sets of data.

Correlation is a fancy way to describe the relationship between two variables.

Multiple Choice

Can you guess the correlation?

• positive

• negative

• none

Multiple Choice

Can you guess the correlation?

• positive

• negative

• none

Multiple Choice

Can you guess the correlation?

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

Multiple Choice

Guess the correlation between the variables:

• positive

• negative

• none

​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 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 scatter plot show?

• positive linear association

• negative linear association

• no association

• nonlinear association

Multiple Choice

If a scatterplot has no association then...

• ...it has no ordered pairs

• ...it has ordered pairs that have a negative pattern

• ...its ordered pairs have no predictable pattern

• ...if it makes a lion on a graph (roar!)

Multiple Choice

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

• A
• B
• C
• D

Multiple Choice

What is the correlation?

• Negative correlation
• No correlation
• Positive correlation
• All of the above

Multiple Choice

Determine the correlation.

• positive

• negative

• no correlation

Multiple Choice

• positive

• negative

• no correlation

Multiple Choice

Determine the correlation.

• positive

• negative

• no correlation

Multiple Choice

Does the plot show a positive trend, negative trend, or no trend?

• positive trend

• negative trend

• no trend

Multiple Choice

What type of relationship does this scatter plot show?

• Negative linear relationship

• Positive linear relationship

• No relationship

• Nonlinear relationship

Multiple Choice

What type of correlation does this scatter plot show?

• positive linear association

• negative linear association

• no association

• nonlinear association

Multiple Choice

The number of notebooks bought and the total cost.

• positive association
• negative association
• no association

Multiple Choice

The number of siblings you have and your weight. 

• Positive correlation
• Negative correlation
• No correlation
• All of the above

Multiple Choice

The age of a kitten and its weight.

• positive association
• negative association
• no association

Multiple Choice

In a scatterplot, an outlier...

• ...is something we didn't learn 8th grade
• ...is a puppet with a long nose named Pinocchio
• ...is a point that is far outside the main cluster of points/ordered pairs
• ...is a really naughty point who doesn't tell the truth when outside

Multiple Choice

As x increases, y increases

• correlation coefficient

• causation

• positive correlation

• negative correlation

Multiple Choice

What type of association does this graph have?

• positive 

• negative

• none

• all of the above

Multiple Choice

As x increases, y increases

• correlation coefficient

• causation

• positive correlation

• negative correlation

Multiple Choice

What is the correlation?

• Negative correlation

• No correlation

• Positive correlation

• All of the above

Multiple Choice

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

• As x increases, y decreases

• As x increases, y increases

• As x decreases, y decreases

Multiple Choice

What represents the x axis?

• ABC Company

• Hours Worked

• Amount Earned in Dollars

• Hours in Car

Multiple Choice

What represents the y axis?

• ABC Company

• Hours Worked

• Amount Earned in Dollars

• Hours in Car