Stats Review (Scatterplots & two-way tables)

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional grid.

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What does a correlation coefficient indicate?

Back

The correlation coefficient indicates the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative correlation) to 1 (perfect positive correlation).

Front

What does it mean if r is close to 1?

Back

If r is close to 1, it indicates a strong positive correlation, meaning as one variable increases, the other variable also tends to increase.

Front

What does it mean if r is close to -1?

Back

If r is close to -1, it indicates a strong negative correlation, meaning as one variable increases, the other variable tends to decrease.

Front

What does it mean if r is close to 0?

Back

If r is close to 0, it indicates no correlation, meaning there is no predictable relationship between the two variables.

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Front

What is a positive correlation?

Back

A positive correlation is a relationship between two variables where an increase in one variable corresponds to an increase in the other variable.

Front

What is a negative correlation?

Back

A negative correlation is a relationship between two variables where an increase in one variable corresponds to a decrease in the other variable.

Front

How can you determine the type of correlation from a scatterplot?

Back

You can determine the type of correlation by observing the direction of the data points: if they trend upwards, it's positive; if they trend downwards, it's negative; if they are scattered without a clear trend, there may be no correlation.

Front

What is an example of a negative correlation?

Back

An example of a negative correlation is the relationship between outside temperature and the amount of layers you wear; as temperature increases, the number of layers typically decreases.