Correlation and Coefficients Worksheet
This worksheet focuses on understanding and calculating correlation coefficients, including Pearson's r and Spearman's rho, for Grade 12 students.
Includes
Topics
Correlation and Coefficients
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Date:
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Read each question carefully and provide the best answer. Show all your work for calculation questions.
1. Which of the following correlation coefficients indicates the strongest linear relationship?
r = 0.75
r = -0.92
r = 0.50
r = -0.30
2. Pearson's correlation coefficient (r) is appropriate for which type of data?
Nominal data
Ordinal data
Interval/Ratio data
All of the above
3. A correlation coefficient of 0 indicates linear relationship between two variables.
4. Spearman's rank correlation coefficient is used for or data.
5. The range of values for any correlation coefficient is between and .
6. Correlation implies causation.
True
False
7. A positive correlation coefficient means that as one variable increases, the other variable decreases.
True
False
8. Briefly explain the difference between a strong positive correlation and a strong negative correlation.
9. When would it be more appropriate to use Spearman's rank correlation coefficient over Pearson's correlation coefficient?
10. Consider the following data for two variables, X and Y:
X: [10, 20, 30, 40, 50]
Y: [5, 12, 18, 26, 30]
a) Plot the data points on the graph below.
b) Calculate Pearson's correlation coefficient (r) for this data. Show your work.
c) Interpret the meaning of the calculated correlation coefficient.