A is a graph that shows the associations between two . We will first construct a scatter plot of the data collected by a travel agency. Let's do it!
Construct the Scatter Plot
We can begin by looking at the given table. It shows the number of units produced over time.
| Month
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
| Number of Visitors
|
208
|
245
|
423
|
432
|
412
|
626
|
647
|
620
|
402
|
356
|
We want to create a scatter plot of number of units produced over time. First, we need to represent the data as (x,y), where x is the month and y is the number of visitors.
cc
(1,208) & (2,245) & (3,423) (4,432) & (5,412) & (6,626) (7,647) & (8,620) & (9,402) & (10,356)&
Now, we can graph the ordered pairs on a .
Find the Type of Association
We want to interpret the scatter plot. To do so, we can start by reviewing different patterns of associations that can be shown using scatter plots.
Notice that we can use the shape of the distribution of a scatter plot to determine the type of the association. Let's now look at the scatter plot of the data collected by a travel agency!
We can see that the do not lie close to a or a curve. Therefore, the scatter plot shows no association.
Identify Clusters and Outliers
To identify clusters and on the scatter plot, let's recall some important definitions.
| Outlier
|
Cluster
|
| 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.
|
With these definitions in mind, we can finally make some conclusions about the outliers and clusters in our graph.
- There appears to be no outliers.
- There appears to be no clusters.
Note that 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.
Conjecture for Month 12
We know that the scatter plot shows no association between the month and the number of visitors. This means that there is no relationship between the two data sets. Therefore, we cannot make a conjecture about the number of visitors in month 12.
