Math Problem Statement

Apakah Ketinggian suatu tempat dari permukaan air laut berkaitan dengan suhu udara di tempat? Hasil survey antara ketinggian dari permukaan laut (X) dan suhu udara (Y) menunjukkan bahwa koefisien korelasi adalah r = -0.92. Hal ini menunjukkan bahwa ...

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 r=0.92r = -0.92 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:

  • r=0.92r = -0.92 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:

  1. What does a correlation coefficient near r=1r = -1 indicate?
  2. How does altitude generally affect temperature in different climates?
  3. What other factors might affect temperature besides altitude?
  4. How can we calculate a correlation coefficient from raw data?
  5. What are the limits of interpreting correlations in surveys?

Tip: A strong correlation does not necessarily imply causation! Always consider other possible factors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Negative Correlation

Formulas

Correlation coefficient formula

Theorems

Correlation and Causation

Suitable Grade Level

Grades 10-12