12 Questions
Which term best describes the association shown in the scatter plot?
Non-linear & positive
What is the equation for the trend line based on the provided data?
y = -19.7x + 48.2
What type of association is likely between the temperature outside and the number of people at the swimming pool?
Positive Association
If a student read 275 pages, in what chapter would they currently be?
Chapter 12
Which statement best describes the scatter plot?
Linear & positive
What is the x-value when y = 45 based on the trend line equation?
3.9
What is the best way to describe the association between eye color and the number of siblings a person has?
No Association
How many pages would a student need to read to be halfway through Chapter 14?
300 pages
Do the scatter plots exhibit any outliers?
No
What is the frequency of 7th graders who prefer vanilla ice cream?
6
What type of association does the table data most likely exhibit?
Positive Association
In which grade is chocolate ice cream preferred by the fewest students?
7th Grade
Study Notes
Statistics and Data Analysis
- There are different types of associations in scatter plots, including positive, negative, and no association.
- A positive association means that as one variable increases, the other variable also increases.
- A negative association means that as one variable increases, the other variable decreases.
- No association means that there is no consistent pattern between the variables.
Scatter Plot Analysis
- A scatter plot can show a linear or non-linear association.
- A linear association means that the data points follow a straight line.
- A non-linear association means that the data points do not follow a straight line.
- A scatter plot can also have outliers, clusters, gaps, or other features.
Trend Lines
- A trend line is a line that best fits the data points in a scatter plot.
- The equation for a trend line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
- The slope of a trend line can be positive, negative, or zero.
Predicting Values
- Given a trend line, we can predict the value of one variable based on the value of the other variable.
- For example, if we have a trend line y = 2x + 3, we can predict the value of y when x = 4 by plugging in x = 4 into the equation.
Two-Way Tables
- A two-way table is a table that shows the frequency of different combinations of two variables.
- We can use a two-way table to find the frequency of a particular combination of variables.
- We can also use a two-way table to find the relative frequency of a particular combination of variables.
Data Analysis Examples
- Example 1: If a student reads 300 pages, they are currently in chapter 13.
- Example 2: The frequency of 8th graders who prefer chocolate ice cream is 52.
- Example 3: The relative frequency of 6th grade students who prefer vanilla ice cream is 31%.
Test your knowledge on analyzing scatter plots associations in this unit assessment quiz. Determine whether the scatter plot shows a positive, negative, or no association and identify the type of association shown in each plot.
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