Question Video: Describing Correlation in a Scatterplot Mathematics • 8th Grade

What type of correlation exists between the two variables in the shown scatter plot?

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Video Transcript

What type of correlation exists between the two variables in the shown scatter plot?

A scatter plot can be used when we have two sets of data related to individuals or events. This is known as bivariant data. We use one set for the 𝑥-coordinates and the other set for the 𝑦-coordinates. In this scatter plot, we have 10 data points. We need to decide whether these points show a positive correlation, a negative correlation, or no correlation. If the points generally slope upwards from left to right, we say there is a positive correlation. If this is the case, we can draw a line of best fit as shown.

If the data points slope downwards from the top left to the bottom right of our scatter plot, we have a negative correlation. Once again, we can draw a line of best fits. In this question, however, we have points in the bottom-left, bottom-right, top-left, and top-right corner of our scatter plot. This suggests that there is no obvious pattern between the 10 data points, and we can therefore conclude there is no correlation.

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