Trend Lines Correlation

Front

What is correlation?

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.

Front

What is a positive correlation?

Back

A positive correlation occurs when two variables move in the same direction. For example, as the temperature increases, ice cream sales also increase.

Front

What is a negative correlation?

Back

A negative correlation occurs when two variables move in opposite directions. For example, as the temperature decreases, hot chocolate sales may increase.

Front

What does 'no correlation' mean?

Back

No correlation means that there is no relationship between the two variables; changes in one variable do not affect the other.

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables. Each point represents an observation.

Front

What does a linear scatterplot look like?

Back

A linear scatterplot shows a straight-line relationship between the two variables, indicating a consistent rate of change.

Front

What does a nonlinear scatterplot indicate?

Back

A nonlinear scatterplot indicates that the relationship between the variables is not a straight line, meaning the rate of change varies.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, used to make predictions about future data points.

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 points: if they trend upwards, it's positive; if downwards, it's negative; if scattered, it may be no correlation.

Front

What is the correlation coefficient?

Back

The correlation coefficient is a numerical value between -1 and 1 that quantifies the strength and direction of a correlation between two variables.