๐ Topic Summary
A scatter plot is a graph that displays the relationship between two sets of data. Each point on the plot represents a pair of values. When there's a linear association, the points tend to cluster around a straight line. However, when there's no linear association, the points appear randomly scattered with no discernible pattern. This means that changes in one variable don't predictably affect the other. Understanding when a scatter plot shows no association is crucial for interpreting data correctly and avoiding false conclusions.
In simpler terms, imagine throwing a bunch of pebbles randomly onto the ground. That's what a scatter plot with no linear association looks like! It indicates that the two variables being plotted are not related in a way that can be described by a straight line.
๐ค Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Scatter Plot |
A. A relationship where points on a graph show no clear pattern. |
| 2. Linear Association |
B. A graph that displays data points for two variables. |
| 3. No Linear Association |
C. The variable that is being predicted or measured. |
| 4. Independent Variable |
D. A relationship where points on a graph tend to follow a straight line. |
| 5. Dependent Variable |
E. The variable that is manipulated or controlled. |
โ๏ธ Part B: Fill in the Blanks
Complete the paragraph using the words provided: scattered, relationship, linear, association, variables.
When data points on a scatter plot appear randomly ________, it suggests there is no ________ ________ between the two ________ being examined. This means that changes in one variable do not predictably affect the other, indicating a lack of ________.
๐ค Part C: Critical Thinking
Imagine you're analyzing a scatter plot showing the number of hours students study versus their favorite ice cream flavor. The plot shows no linear association. What can you conclude from this analysis?
