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How Do You Use a Scatter Plot to Find a Negative Correlation?

Draw a scatter plot from the given data. Then find the correlation.

Summary

  1. The correlation is the relationship between the x- and y-values in a data set
  2. Correlation can be positive, negative, or 0
  3. Here our data is plotted into a graph called a scatter plot
  4. The line of fit is the line that best represents the x-y relationship
  5. The slope of the line of fit tells us what kind of correlation we have

Notes

    1. The correlation is the relationship between the x- and y-values
    2. So we want to figure out how the y-values change when the x-values change
    1. In order to determine the correlation, we need to make a scatter plot to represent our data
    2. To do that, we need to plot each data point on a coordinate plane
    1. Since we have an x- and y-value for each data point, we can turn them into ordered pairs that we can graph
    2. So for example, the first data point would become the ordered pair (2,16)
    1. This will result in a scatter plot, like the diagram we have here
    1. This will result in a scatter plot, like the diagram we have here
    1. Looking at a scatter plot, like the one we have here, makes it easy to see how the data are related to each other
    1. The line of fit is the line that best represents the data
    2. The slope of the line of fit will tell us what kind of correlation we have
    1. Remember, this relationship is the correlation, which is what we're looking for
    1. The line that best represents the data will go straight through the middle of the data points
    1. The slope of the line of fit will tell us what kind of correlation our data has
    1. The slope of the line of fit will tell us what kind of correlation our data has
    1. The slope of the line of fit will tell us what kind of correlation our data has
    1. The slope of the line of fit will tell us what kind of correlation our data has
    1. Our line is tilting downward, so its slope is negative
    2. That means that as the x-values increase, the y-values decrease
    3. And as the x-values decrease, the y-values increase
    4. This means we have a negative correlation