Scatter Plots and Correlation

Front

What is a scatter plot?

Back

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

Front

What does correlation mean in statistics?

Back

Correlation refers to a statistical measure that describes the extent to which two variables change together.

Front

What is positive correlation?

Back

Positive correlation occurs when an increase in one variable leads to an increase in another variable.

Front

What is negative correlation?

Back

Negative correlation occurs when an increase in one variable leads to a decrease in another variable.

Front

What does no correlation mean?

Back

No correlation means that there is no predictable relationship between the two variables.

Front

Example of positive correlation: Hours spent studying vs. test scores.

Back

As the number of hours spent studying increases, test scores tend to increase.

Front

Example of negative correlation: Temperature vs. amount of hot chocolate sold.

Back

As the temperature increases, the amount of hot chocolate sold tends to decrease.

Front

Example of no correlation: Number of pets vs. number of books read.

Back

There is no predictable relationship between the number of pets a person has and the number of books they read.

Front

How do you identify correlation in a scatter plot?

Back

You can identify correlation by observing the direction of the data points: upward slope indicates positive correlation, downward slope indicates negative correlation, and no slope indicates no correlation.

Front

What is the range of correlation coefficients?

Back

The correlation coefficient ranges from -1 to 1, where -1 indicates perfect negative correlation, 1 indicates perfect positive correlation, and 0 indicates no correlation.