What does a correlation coefficient of 0 signify?

No correlation between the two variables.

How can you visually assess correlation?

By using a scatterplot to plot the data points.

What is a line of best fit?

A straight line that best represents the data on a scatterplot.

What is the purpose of calculating the correlation coefficient?

To quantify the degree to which two variables are related.

What is an example of a strong positive correlation?

The relationship between hours studied and exam scores.

What is an example of a weak negative correlation?

The relationship between the number of hours spent watching TV and exam scores.

What is the formula for the correlation coefficient (r)?

$$r = \frac{n(\text{Σ}xy) - (\text{Σ}x)(\text{Σ}y)}{\text{√}[n(\text{Σ}x^2) - (\text{Σ}x)^2][n(\text{Σ}y^2) - (\text{Σ}y)^2]}$$ .

What is the significance of the slope in the line of best fit?

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Correlation Coefficient Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables.

Tags

CCSS.HSS.ID.B.5

2.

FLASHCARD QUESTION

Front

What does a positive correlation indicate?

Back

As one variable increases, the other variable also increases.

Tags

CCSS.HSS.ID.B.5

3.

FLASHCARD QUESTION

Front

What does a negative correlation indicate?

Back

As one variable increases, the other variable decreases.

Tags

CCSS.HSS.ID.B.5

4.

FLASHCARD QUESTION

Front

What does no correlation mean?

Back

There is no discernible relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

5.

FLASHCARD QUESTION

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to +1.

6.

FLASHCARD QUESTION

Front

What does a correlation coefficient of +1 signify?

Back

A perfect positive correlation between two variables.

Tags

CCSS.HSS.ID.B.5

7.

FLASHCARD QUESTION

Front

What does a correlation coefficient of -1 signify?

Back

A perfect negative correlation between two variables.

Tags

CCSS.HSS.ID.B.5

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