Big Ideas Math: Modeling Real Life, Grade 8
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2. Lines of Fit
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Exercise 3 Page 247

A scatter plot is a graph that shows the relationship between two data sets.

Relationship: Positive linear relationship
Outliers: None
Gap: None
Cluster: From x=11 to x=15

Practice makes perfect

Let's begin by reviewing different relationships between two data sets using scatter plots. A scatter plot is a graph that shows the relationship between two data sets.

scattered plot
Now, let's consider the given graph.
scattered plot

We can see that the points lie close to a line. As x increases, y increases. Therefore the scatter plot shows positive linear relationship. Next, let's recall some important definitions.

Outlier Cluster Gap
An outlier is a data point that is set off from the other data points. A cluster is a group of points that lie close together. A gap is an area on the graph that contains no data.

With these definitions in mind, we can finally make some conclusions about the outliers, clusters, and gaps in our graph.

  • There are no outliers in the data.
  • There is a cluster from x=11 to x=15.
  • There are no gaps.

Note that gaps, clusters, and outliers are found by observing a graph. Therefore, they are subjective and a different observer can interpret the graph differently. Our solution is just an example solution.