Scatter Diagram and Correlation Coefficient:

A scatter diagram is a graphical representation of the relationship between two variables. A scatter diagram plots the values of two variables on a graph, with one variable on the x-axis and the other variable on the y-axis. The points on the graph represent the values of both variables, and the pattern of the points on the graph can tell us a lot about the relationship between the variables.

The correlation coefficient is a statistical measure that measures the strength and direction of the relationship between two variables. The correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation, +1 indicating a perfect positive correlation, and 0 indicating no correlation between the variables.

Scatter Diagram and Correlation Coefficient Relationship:

The more scattered the points are around a straight line in a scatter diagram, the weaker the correlation between the variables. This means that the correlation coefficient will be closer to 0. Here's why:

- When the points on a scatter diagram are tightly clustered around a straight line, this indicates a strong relationship between the variables. In this case, the correlation coefficient will be close to -1 or +1, depending on the direction of the relationship.
- When the points on a scatter diagram are more scattered around a straight line, this indicates a weaker relationship between the variables. In this case, the correlation coefficient will be closer to 0.

Therefore, the more scattered the points are around a straight line in a scatter diagram, the less is the correlation coefficient.