QUESTION IMAGE
Question
construct a scatter diagram using the data table. this data is from a study comparing the amount of tar and carbon monoxide (co) in cigarettes. use tar for the horizontal scale and use carbon monoxide (co) for the vertical scale. determine whether there appears to be a relationship between cigarette tar and co.
| tar | co | tar | co | tar | co |
|---|---|---|---|---|---|
| 9 | 11 | 8 | 11 | 11 | 13 |
| 1 | 1 | 15 | 14 | 6 | 7 |
| 13 | 13 | 18 | 18 | 15 | 15 |
| 5 | 7 | 11 | 11 | 9 | 8 |
construct a scatter diagram.
a.
scatter - plot a image
b.
scatter - plot b image
c.
scatter - plot c image
d.
scatter - plot d image
Step1: Plot the data points
For each pair of (Tar, CO) values from the table, plot a point on the scatter - diagram with Tar on the x - axis and CO on the y - axis. For example, for the pair (16, 15), we place a point at the coordinates (16, 15) on the graph.
Step2: Analyze the pattern
After plotting all the points, we observe the general pattern of the points. If the points seem to follow a linear or non - linear trend, there is a relationship. If the points are randomly scattered, there is no clear relationship.
Looking at the data points:
When we plot the points (16, 15), (9, 11), (1, 1), (13, 13), (5, 7), (16, 17), (8, 11), (15, 14), (18, 18), (11, 11), (2, 3), (11, 13), (6, 7), (15, 15), (9, 8), we can see that as the value of tar increases, the value of CO also generally increases. The points seem to follow an upward - sloping trend.
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The scatter - diagram that best represents the data is C. There appears to be a positive relationship between cigarette tar and CO, meaning as the amount of tar in a cigarette increases, the amount of carbon monoxide also tends to increase.