### Scatterplot and Correlation: Definition, Example & Analysis - Video & Lesson Transcript | socialgamenews.info

When we look at scatterplot, we should be able to describe the association we Let's describe this scatterplot, which shows the relationship between the age of. Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot data points. The relationship between two variables is called their correlation. If there is absolutely no correlation present the value given is 0. So something that seems to kind of correlate in a positive direction might have a value. A scatter plot reveals relationships between two variables. Such relationships Various common types of relationships are demonstrated in the examples.

Scatterplot Imagine that you are interested in studying patterns in individuals with children under the age of You collect data from 25 individuals who have at least one child. After you've collected your data, you enter it into a table. Data table You try to draw conclusions about the data from the table; however, you find yourself overwhelmed. You decide an easier way to analyze the data is by comparing the variables two at a time.

### Scatter Plot: Is there a relationship between two variables?

In order to see how the variables relate to each other, you create scatterplots. So what is a scatterplot? A scatterplot is a graph that is used to plot the data points for two variables. Each scatterplot has a horizontal axis x-axis and a vertical axis y-axis.

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One variable is plotted on each axis. Scatterplots are made up of marks; each mark represents one study participant's measures on the variables that are on the x-axis and y-axis of the scatterplot.

Most scatterplots contain a line of best fit, which is a straight line drawn through the center of the data points that best represents the trend of the data. Scatterplots provide a visual representation of the correlation, or relationship between the two variables.

Types of Correlation All correlations have two properties: The strength of a correlation is determined by its numerical value. The direction of the correlation is determined by whether the correlation is positive or negative.

Both variables move in the same direction. In other words, as one variable increases, the other variable also increases. As one variable decreases, the other variable also decreases. The variables move in opposite directions. As one variable increases, the other variable decreases.

As one variable decreases, the other variable increases.

## Scatter plots

All positive correlations have scatterplots that move in the same direction as the positive correlation in the image above. All negative correlations have scatterplots that move in the same direction as the negative correlation in the image above.

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. 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.

## Scatter Plots

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.

**AP Statistics: Scatterplots, Association, Correlation - Part 1**

But in general the rule will hold true that as the amount of time studying increases so does the grade received.