Math Problem Statement
Solution
The scatter plot shows data points that exhibit a negative correlation. The points are tightly clustered in a downward sloping pattern, indicating a strong negative linear relationship.
The correlation coefficient, denoted as , ranges from -1 to 1:
- indicates a perfect negative correlation.
- indicates no correlation.
- indicates a perfect positive correlation.
Since the data points are closely clustered and the slope is negative, the correlation is close to -1, but not exactly, because the points aren't perfectly aligned. The best estimate for the correlation coefficient in this case is A. -0.9.
Would you like further details, or do you have any questions?
Here are 5 related questions:
- How is the correlation coefficient calculated from raw data?
- What are the key differences between positive and negative correlations?
- How do outliers affect the value of the correlation coefficient?
- What other methods can be used to describe the relationship between two variables?
- Can correlation imply causation? Why or why not?
Tip: Always visualize data before calculating the correlation coefficient to get an intuitive sense of the relationship between variables.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation Coefficient
Formulas
Pearson Correlation Coefficient Formula
Theorems
Properties of the Correlation Coefficient
Suitable Grade Level
Grades 9-12