Math Problem Statement

The scatter plot shows the relationship between the saturation specific humidity in grams per kilogram of air and the ambient temperature in degrees Celsius of the atmosphere. What type of relationship does this scatter plot show?

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:

  1. 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.

  2. 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:

  1. What is the difference between positive and negative correlations in scatter plots?
  2. How can you determine if a trend is linear or nonlinear in a scatter plot?
  3. What are some real-life examples where temperature and humidity have a positive correlation?
  4. What methods can be used to quantify the strength of a correlation?
  5. 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