# Scatter plots notes whats the relationship

Scatter plots are used to plot data points on a horizontal and a vertical axis in If the markers are equally distributed in the scatter plot, the correlation is low, or zero. Note: If you use tiled markers, and the axes' scales have a large number of. Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot The relationship between two variables is called their correlation. Linear Relationship Between Variables Y and X, scatter plot revealing a near- linear relationship between between X and Y. Note, however, that even though .

Scatter Plots Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot data points.

## What is a Scatter Diagram (Correlation Chart)?

However, they have a very specific purpose. Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation. Scatter plots usually consist of a large body of data. The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.

Scatter Plots : Introduction to Positive and Negative Correlation

If the data points make a straight line going from the origin out to high x- and y-values, then the variables are said to have a positive correlation. If the line goes from a high-value on the y-axis down to a high-value on the x-axis, the variables have a negative correlation. A perfect positive correlation is given the value of 1. A perfect negative correlation is given the value of If there is absolutely no correlation present the value given is 0.

The closer the number is to 1 or -1, the stronger the correlation, or the stronger the relationship between the variables. This diagram is drawn with two variables, usually the first variable is independent and the second variable is dependent on the first variable. The scatter diagram is used to find the correlation between these two variables.

This diagram helps you determine how closely the two variables are related. After determining the correlation between the variables, you can then predict the behavior of the dependent variable based on the measure of the independent variable. This chart is very useful when one variable is easy to measure and the other is not. Example You are analyzing the pattern of accidents on a highway.

### What is a Scatter Plot?

You select the two variables: Once the diagram is completed, you notice that as the speed of vehicle increases, the number of accidents also goes up.

This shows that there is a relationship between the speed of vehicles and accidents happening on the highway. Scatter diagrams can demonstrate a relationship between any element of a process, environment, or activity on one axis and a quality defect on the other axis.

Usually the independent variable is plotted along the horizontal axis x-axis and the dependent variable is plotted on the vertical axis y-axis. The independent variable is also known as the control parameter because it influences the behavior of the dependent variable. It is not necessary for one parameter to be a controlling parameter. You can draw the scatter diagram with both variables independent to each other.

In this case you can draw any variable on any axis. Please note that the scatter diagram is different than the Ishikawa or fishbone diagram. With the Ishikawa diagram you see the effect of a cause, and in the scatter diagram you analyze the relationship between the two variables. Type of Scatter Diagram The scatter diagram can be categorized into several types; however, I will discuss the two types that will cover most scatter diagrams used in project management.

The first type is based on the type of correlation, and the second type is based on the slope of trend. According to the type of correlation, scatter diagrams can be divided into following categories: In this type of scatter diagram, data points are spread so randomly that you cannot draw any line through them.

In this case you can say that there is no relation between these two variables. Here, the data points are little closer together and you can feel that some kind of relation exists between these two variables. In this diagram, data points are grouped very close to each other such that you can draw a line by following their pattern. In this case you will say that the variables are closely related to each other.

As discussed earlier, you can also divide the scatter diagram according to the slope, or trend, of the data points: Scatter Diagram with Strong Positive Correlation Scatter Diagram with Weak Positive Correlation Scatter Diagram with Strong Negative Correlation Scatter Diagram with Weak Negative Correlation Scatter Diagram with Weakest or no Correlation Strong positive correlation means there is a clearly visible upward trend from left to right; a strong negative correlation means there is a clearly visible downward trend from left to right.

A weak correlation means the trend, up of down, is less clear.

### What is a Scatter Diagram (Correlation Chart)?

A flat line from left to right is the weakest correlation, as it is neither positive nor negative and indicates the independent variable does not affect the dependent variable. In positive slant, the correlation will be positive, i.

You can say that the slope of straight line drawn along the data points will go up.

The pattern will resemble the straight line. For example, if the temperature goes up, cold drink sales will also go up.