Scatter Plot Correlation Coefficients

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables where each point represents an observation in the dataset, showing the relationship between the variables.

Front

What does the correlation coefficient (r) indicate in a scatter plot?

Back

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

Front

What does an r value of -1 signify?

Back

An r value of -1 signifies a perfect negative linear correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What does an r value of 0 signify?

Back

An r value of 0 signifies no correlation between the two variables, indicating that there is no linear relationship.

Front

What does an r value of 1 signify?

Back

An r value of 1 signifies a perfect positive linear correlation, meaning that as one variable increases, the other variable also increases in a perfectly linear manner.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

How can you visually identify a strong correlation in a scatter plot?

Back

A strong correlation in a scatter plot can be visually identified by points that closely follow a straight line, either upward (positive correlation) or downward (negative correlation).

Front

What is the purpose of a trend line in a scatter plot?

Back

The purpose of a trend line in a scatter plot is to summarize the relationship between the variables and to make predictions based on the observed data.

Front

What does it mean if a scatter plot shows no correlation?

Back

If a scatter plot shows no correlation, it means that there is no discernible pattern or relationship between the two variables.