Math Problem Statement
The Education Testing Service set out to test the relationship between two versions of an aptitude test. Use the scores in the table below to answer Problems 1-5.
Subject Test A
Test B RM 85
9 DH 80
7 KM 66
7 MH 50
4 ZM 40
3 KJ 20 1 MN 0 2 Which is the correct scatter plot for the data?
Scatterplot A:
scatterplota.gif
Scatterplot B:
scatterplotb-1.gif
Scatterplot C:
scatterplotc.gif
Group of answer choices
Scatterplot B
Scatterplot A
Scatterplot C
Solution
To determine which scatter plot correctly represents the data, we need to examine the relationship between Test A scores (independent variable, x-axis) and Test B scores (dependent variable, y-axis).
Here’s the data again, summarized:
| Subject | Test A (x) | Test B (y) |
|---|---|---|
| RM | 85 | 9 |
| DH | 80 | 7 |
| KM | 66 | 7 |
| MH | 50 | 4 |
| ZM | 40 | 3 |
| KJ | 20 | 1 |
| MN | 0 | 2 |
Observations about the relationship:
- The x-values (Test A) are higher for subjects with higher y-values (Test B), suggesting a positive correlation.
- Some data points overlap (e.g., KM and DH share the same y-value, 7).
- The data decreases fairly linearly but not perfectly.
Steps to Identify the Correct Scatterplot:
We would compare the scatterplots provided (A, B, and C) against these characteristics:
- Scatterplot should show a positive correlation (as Test A increases, Test B tends to increase).
- Data should generally align with the given points.
If you upload the scatterplots (scatterplota.gif, scatterplotb-1.gif, and scatterplotc.gif), I can confirm which matches! Alternatively, you can describe the plots, and I can analyze accordingly.
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Math Problem Analysis
Mathematical Concepts
Statistics
Scatter Plots
Correlation
Formulas
None (Graphical Representation)
Theorems
Positive Correlation
Linear Relationship
Suitable Grade Level
Grades 7-9