Test 2.1 Review

Front

What is correlation in statistics?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates that there is no correlation between the two variables, meaning changes in one variable do not predict changes in the other.

Front

What type of correlation is represented by a scatterplot where points are randomly scattered?

Back

No correlation.

Front

What does a positive correlation look like on a scatterplot?

Back

In a positive correlation, the points on the scatterplot slope upwards from left to right, indicating that as one variable increases, the other variable also increases.

Front

What does a negative correlation look like on a scatterplot?

Back

In a negative correlation, the points on the scatterplot slope downwards from left to right, indicating that as one variable increases, the other variable decreases.

Front

What is a linear relationship in the context of scatterplots?

Back

A linear relationship is when the data points in a scatterplot can be approximated by a straight line, indicating a consistent rate of change between the two variables.

Front

How can you determine if a scatterplot suggests a linear relationship?

Back

If the points in the scatterplot cluster around a straight line, it suggests a linear relationship between the variables.

Front

What is the relationship between the outside temperature and the amount of layers you wear?

Back

Negative correlation: As the outside temperature increases, the amount of layers you wear typically decreases.

Front

What conclusion can be drawn if a scatterplot shows no relationship between two variables?

Back

If there is no relationship, changes in one variable do not affect the other variable.

Front

What is the significance of the slope of a line in a scatterplot?

Back

The slope indicates the direction and rate of change between the two variables; a positive slope indicates a positive correlation, while a negative slope indicates a negative correlation.