# Scatter plot shows relationship between its object

### Constructing a scatter plot (video) | Khan Academy Besides showing the extent of correlation, a scatter plot shows the sense of the while a scatter plot can reveal the nature and extent of correlation, it says. A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display An equation for the correlation between the variables can be determined by established For a set of data variables (dimensions) X1, X2, , Xk, the scatter plot matrix shows all the pairwise scatter plots of the variables on a. To distinguish it from other graphic forms, we define a scatterplot as a plot of two vari- referred to (typically orthogonal) axes, and (c) designed to show the relation .. for numerical calculation, but one which has for its object to perform that.

An equation for the correlation between the variables can be determined by established best-fit procedures. For a linear correlation, the best-fit procedure is known as linear regression and is guaranteed to generate a correct solution in a finite time.

### Scatter Plots and Linear Correlation ( Read ) | Statistics | CK Foundation

No universal best-fit procedure is guaranteed to generate a correct solution for arbitrary relationships. A scatter plot is also very useful when we wish to see how two comparable data sets agree to show nonlinear relationships between variables. The scatter diagram is one of the seven basic tools of quality control. The researcher would then plot the data in a scatter plot, assigning "lung capacity" to the horizontal axis, and "time holding breath" to the vertical axis.

Relationships between numeric variables

The scatter plot of all the people in the study would enable the researcher to obtain a visual comparison of the two variables in the data set, and will help to determine what kind of relationship there might be between the two variables.

Scatterplot matrices[ edit ] For a set of data variables dimensions X1, X2, For k variables, the scatterplot matrix will contain k rows and k columns. A plot located on the intersection of i-th row and j-th column is a plot of variables Xi versus Xj. A generalized scatterplot matrix  offers a range of displays of paired combinations of categorical and quantitative variables.

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.

• Constructing a scatter plot
• Scatter Plots
• What is a Scatter Plot and When to Use It

The closer the number is to 0, the weaker the correlation. So something that seems to kind of correlate in a positive direction might have a value of 0. An example of a situation where you might find a perfect positive correlation, as we have in the graph on the left above, would be when you compare the total amount of money spent on tickets at the movie theater with the number of people who go. This means that every time that "x" number of people go, "y" amount of money is spent on tickets without variation. An example of a situation where you might find a perfect negative correlation, as in the graph on the right above, would be if you were comparing the amount of time it takes to reach a destination with the distance of a car traveling at constant speed from that destination. On the other hand, a situation where you might find a strong but not perfect positive correlation would be if you examined the number of hours students spent studying for an exam versus the grade received. This won't be a perfect correlation because two people could spend the same amount of time studying and get different grades. But in general the rule will hold true that as the amount of time studying increases so does the grade received.