Creating a unit test on scatter plots and data analysis involves several key areas: understanding scatter plots, interpreting data, calculating correlation coefficients, and possibly making basic predictions or observations based on the visual data.
Below is a sample unit test that you can use. It includes a mix of multiple choice, short answer, and applied questions.
Scatter Plots & Data Analysis Unit Test
Name: _______________________
Date: _______________________
Part A: Multiple Choice (1 point each)
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What does a scatter plot primarily display? a) The average of a dataset
b) The relationship between two quantitative variables
c) The frequency of categories in a dataset
d) The sum of two variables -
If a scatter plot shows a positive correlation, what does that mean? a) As one variable increases, the other variable decreases
b) There is no relationship between the variables
c) As one variable increases, the other variable also increases
d) The two variables are independent -
Which of the following can be indicated by the slope of the trend line in a scatter plot? a) The maximum value of the dataset
b) The strength of the correlation
c) The rate of change between the two variables
d) The median of the dataset -
A correlation coefficient of -0.85 suggests what kind of relationship between two variables? a) A strong positive correlation
b) A weak negative correlation
c) A strong negative correlation
d) No correlation -
When plotting data points, if many points are cluster tightly along a straight line, what can you infer? a) There is a strong correlation between the two variables
b) The correlation is weak and non-linear
c) The relationship is purely random
d) There is no relationship between the two variables
Part B: Short Answer (2 points each)
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Describe how you would interpret a scatter plot that contains no discernible pattern among the points.
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Explain the difference between correlation and causation in the context of scatter plots.
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Given a dataset of students' study hours and their corresponding test scores, what would a scatter plot of this data typically show if study hours positively correlate with test scores?
Part C: Applied Questions (3 points each)
- Below is a set of hypothetical data points representing the hours spent studying and the resulting exam scores:
| Hours Studied | Exam Score | |---------------|------------| | 1 | 60 | | 2 | 65 | | 3 | 70 | | 4 | 75 | | 5 | 90 |
a) Create a scatter plot for the data provided. (Graph not required for test, describe what it looks like.)
b) Estimate the correlation coefficient based on the visual assessment. Explain your reasoning.
- If a student studies for 6 hours, predict the likely exam score using the trend observed in the scatter plot you created or imagined in the last question. Justify your prediction using the data trends.
Part D: Extra Credit (5 points)
- Discuss the potential pitfalls of interpreting scatter plots, specifically in terms of outliers or nonsampling error.
End of Test
Scoring Key:
- Part A: 5 points total
- Part B: 6 points total
- Part C: 6 points total
- Part D: 5 points total
- Total: 22 points
Feel free to adjust the questions or points distribution based on the objectives of your assessment or the level of your students.
1 answer