Math Problem Statement
Solution
The question asks whether the altitude of a location from sea level is related to the air temperature. It states that the correlation coefficient was found between altitude (X) and temperature (Y). The negative correlation coefficient implies a strong inverse relationship between the two variables.
Let's break down the options based on the value of the correlation coefficient:
- indicates a strong negative correlation. This means that as altitude increases (X), temperature (Y) tends to decrease.
Now let's evaluate the answer choices:
- A. This suggests a very low relationship, but the correlation is strong, so it's incorrect.
- B. This suggests no relationship, which is incorrect because the correlation is strong.
- C. This suggests that temperature increases with altitude, which contradicts the negative correlation.
- D. This correctly states that as altitude increases, temperature decreases, matching the negative correlation.
- E. This suggests that temperature increases as altitude decreases, which also fits with the negative correlation.
Between D and E, the answer that fits best is D, as it directly reflects the relationship indicated by the correlation coefficient.
Would you like further clarification or additional details on how correlation coefficients work? Here are some related questions:
- What does a correlation coefficient near indicate?
- How does altitude generally affect temperature in different climates?
- What other factors might affect temperature besides altitude?
- How can we calculate a correlation coefficient from raw data?
- What are the limits of interpreting correlations in surveys?
Tip: A strong correlation does not necessarily imply causation! Always consider other possible factors.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Negative Correlation
Formulas
Correlation coefficient formula
Theorems
Correlation and Causation
Suitable Grade Level
Grades 10-12
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