Correlations

Unit 4 Lesson 1 & 2

Correlations

Some text here about the topic of discussion

1. Positive Correlation

2. Negative Correlation

3. NO Correlation

This helps explain and describe the shape of the graph and how the variable relate to each other.

3 Types of Correlations:

Multiple Choice

What type of association does this graph have?

• positive

• negative

• none

• all of the above

Multiple Choice

Describe the correlation in the graph shown.

• Strong Negative

• Strong Positive

• Weak Negative

• No Correlation

Multiple Choice

What type of association is represented by the scatter plot

• Positive

• Negative

• None

Multiple Choice

Is the association a positive or negative association?

• Positive

• Negative

Multiple Choice

What type of association does this graph have?

• positive

• negative

• none

• all of the above

LINEAR vs. NON-LINEAR

Linear: Shaped like a line

Non-Linear: graph shape is not a line.

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Multiple Choice

Which best describes the form of this scatterplot?

• linear

• nonlinear

• scattered

• no correlation

Multiple Choice

Describe the association of the scatter plot

• Linear; positive association

• Linear; negative association

• Non-linear

Multiple Choice

What type of association does this scatter plot represent?

• positive linear association

• negative association

• no association

• nonlinear association

R

Tells us the strength of the relationship/correlation

--> Closer to 1 or -1, the stronger the relationship

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Correlation Coefficient

​Negative Correlation

​

​Positive Correlation

No Correlation

​Negative Correlation

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• A) r = 1.2

• B) r = 0.89

• C)r = 0

• D) r = -0.89

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• A) r = -0.9

• B) r = 1

• C) r = 0.9

• D) r = -1

Multiple Choice

Estimate the correlation coefficient

• r = 1

• r = -1

• r ≈ -0.8

• r ≈ 0.8

• r ≈ -0.5

Multiple Choice

Describe a correlation with a coefficient of r=0.3

• Strong positive

• Weak positive

• Strong negative

• Weak negative

Multiple Choice

Which scatter plot diagram shows the strongest positive correlation?

Multiple Choice

r = -0.3 is considered to have...

• moderate negative correlation

• weak negative correlation

• no correlation

• strong negative correlation

Multiple Choice

Which correlation coefficient (r) best represents the graph?

• r = -1

• r = 0

• r = 1.4

• r = 1

Multiple Choice

Which correlation coefficient (r) best represents the graph?

• r = -0.95

• r = 0

• r = 0.85

• r = 1.1