Question Video: Identifying the Linear Correlation from the Scattergraph Mathematics • 8th Grade

State which of the scatter diagrams shows bivariate data with a stronger correlation.

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Video Transcript

State which of the scatter diagrams shows bivariate data with a stronger correlation.

Let’s begin by recalling some of the keywords in this question. Bivariate data is data on two variables, where each value of one of the variables is paired with a value of the other variable. We use this to investigate the possible association between the two variables. This is known as the correlation.

There are three main types of correlation: positive, negative, and no correlation. We can identify these from the pattern of the data points together with a line of best fit. Drawing on the line of best fit in diagram one and diagram two, we see that both of them slope upwards from left to right. This means that both diagrams represent positive correlation.

We are interested in which of the diagrams represents the stronger correlation. This will be the one where the set of point are closest to the line of best fit. It is clear that diagram one represents a strong correlation. Diagram two represents a weaker correlation as several of the points are further away from the line of best fit.

We can therefore conclude that the correct answer is diagram one. This shows the bivariate data with a stronger correlation.

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