Scatterplot
Scatterplots are statistical graphs using coordinates to display two variables for a set of data pairs. The relationship between variables is called correlation. Scatterplots are used to understand the type and the strength of correlation between two variables.
Example: The following table shows the test average and course overall grades of 20 students.
Test-Average | Course-Overall |
---|---|
80 | 74 |
66 | 65 |
72 | 75 |
76 | 71 |
78 | 61 |
73 | 65 |
74 | 69 |
80 | 79 |
79 | 72 |
80 | 79 |
94 | 95 |
77 | 70 |
65 | 64 |
82 | 73 |
89 | 88 |
92 | 88 |
96 | 96 |
97 | 98 |
88 | 85 |
77 | 75 |
Draw a scatterplot for the data and use it to answer the following questions.
Does there seems to be a positive linear relationship? Why or why not?
Does the relationship seems strong or weak? Why?
Solution: To draw a scatterplot, you may follow the instructions below.
Step 1: Enter the set of data pairs, say, in the
region A1:B21
in a new worksheet.
Step 2: Select data arrays in the range
A1:B21
.
Step 3: On the Insert tab, click the XY (Scatter) chart command button.
Step 4 (optional): Add a trendline by clicking the Add Chart Element menu’s Trendline command button.
Step 5 (optional): Change bounds for the x-axis by clicking the x-axis and then right clicking to format axis.
Step 6 (optional): Change the title of the picture by clicking the title.
From the scatterplot, we can see that there is a strong positive linear correlation between the test scores and the course overall scores.
The following data set consists of the midterm and the final exam scores of 20 students.
Midterm | Final |
---|---|
72 | 72 |
93 | 88 |
81 | 82 |
82 | 82 |
94 | 88 |
80 | 77 |
73 | 78 |
71 | 77 |
81 | 76 |
81 | 76 |
63 | 68 |
73 | 82 |
88 | 89 |
88 | 92 |
96 | 96 |
98 | 97 |
85 | 88 |
75 | 77 |
94 | 95 |
92 | 88 |
Draw a scatterplot for the data and use it to answer the following questions.
Does there seems to be a positive linear relationship? Why or why not?
Does the relationship seems strong or weak? Why?