Math Problem Statement
Solution
The image shows a scatter plot depicting the relationship between two variables: Temperature (°C) on the x-axis and Humidity (g/m³) on the y-axis. Based on the plot, the humidity increases as the temperature increases, indicating a specific type of correlation.
Analysis:
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Positive Trend: The data points in the scatter plot suggest that as the temperature increases, the humidity also increases. This indicates a positive correlation between temperature and humidity.
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Options Analysis:
- A. Positive trend: This matches the observed pattern in the scatter plot where an increase in one variable results in an increase in the other.
- B. Constant trend: This would imply that the humidity remains the same regardless of the temperature, which is not the case here.
- C. Random variation: This would suggest no pattern or correlation between the variables, which is also not true as a clear upward trend is visible.
- D. Negative trend: This would imply that humidity decreases as temperature increases, which is not what the scatter plot shows.
Conclusion:
The correct answer is A. Positive trend, as the scatter plot shows a positive correlation between temperature and humidity.
Would you like more details or have any other questions?
Related Questions:
- What is the difference between positive and negative correlations in scatter plots?
- How can you determine if a trend is linear or nonlinear in a scatter plot?
- What are some real-life examples where temperature and humidity have a positive correlation?
- What methods can be used to quantify the strength of a correlation?
- How can outliers in data affect the interpretation of scatter plots?
Tip:
Always look at the overall direction of the data points in a scatter plot to determine if there is a positive, negative, or no correlation between the variables.
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Math Problem Analysis
Mathematical Concepts
Data Analysis
Correlation
Scatter Plots
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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