What types of correlations do these first two graphs of the article show?

MATLAB: An Introduction with Applications
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### Correlations between Global Temperatures and Arctic Sea Ice

This section of our educational content delves into the relationships demonstrated in two significant graphs extracted from scientific research. Below are detailed explanations of both graphs and their implications.

#### Graph 1: Global Temperatures

This line graph presents temperature anomalies (in degrees Celsius) over the span from 1880 to 2000. The vertical axis shows the temperature anomaly, ranging from -0.4°C to 0.6°C, indicating deviations from a baseline average. The horizontal axis represents time, spanning from the year 1880 to 2000.

- **Annual Average (Blue Line):** This jagged line displays the specific yearly temperature anomalies over time.
- **Five Year Average (Red Line):** This smoother line represents a five-year moving average of the temperature anomalies, providing a clearer trend by mitigating short-term variability.

**Observation:** The graph depicts an increasing trend in temperature anomalies over the years, particularly from the 1980s onward.

#### Graph 2: Average Monthly Arctic Sea Ice Extent (September 1979 - 2013)

This line graph shows the average monthly extent of Arctic sea ice, measured in million square kilometers, during the month of September from 1979 to 2013. 

- The vertical axis represents the ice extent, ranging from 3.0 to 8.5 million square kilometers.
- The horizontal axis denotes the years from 1978 to 2013.

A fit line is drawn to summarize the overall trend.

**Observation:** There is a clear declining trend in the extent of Arctic sea ice over the given time period.

#### Question: What types of correlations do these first two graphs of the article show?

Select two answer choices: one for the first graph, and one for the second graph.

1. □ no correlation between time and the amount of Arctic sea ice
2. □ a positive correlation between time and the amount of Arctic sea ice
3. □ a negative correlation between time and average yearly temperature
4. □ a positive correlation between time and average yearly temperatures
5. □ a negative correlation between time and the amount of Arctic sea ice
6. □ no correlation between time and average yearly temperature

**Key Points:**
- The first graph demonstrates **a positive correlation between time and average yearly temperatures** (option 4).
- The second graph illustrates **a negative correlation between time and the amount of Arctic sea ice** (option
Transcribed Image Text:### Correlations between Global Temperatures and Arctic Sea Ice This section of our educational content delves into the relationships demonstrated in two significant graphs extracted from scientific research. Below are detailed explanations of both graphs and their implications. #### Graph 1: Global Temperatures This line graph presents temperature anomalies (in degrees Celsius) over the span from 1880 to 2000. The vertical axis shows the temperature anomaly, ranging from -0.4°C to 0.6°C, indicating deviations from a baseline average. The horizontal axis represents time, spanning from the year 1880 to 2000. - **Annual Average (Blue Line):** This jagged line displays the specific yearly temperature anomalies over time. - **Five Year Average (Red Line):** This smoother line represents a five-year moving average of the temperature anomalies, providing a clearer trend by mitigating short-term variability. **Observation:** The graph depicts an increasing trend in temperature anomalies over the years, particularly from the 1980s onward. #### Graph 2: Average Monthly Arctic Sea Ice Extent (September 1979 - 2013) This line graph shows the average monthly extent of Arctic sea ice, measured in million square kilometers, during the month of September from 1979 to 2013. - The vertical axis represents the ice extent, ranging from 3.0 to 8.5 million square kilometers. - The horizontal axis denotes the years from 1978 to 2013. A fit line is drawn to summarize the overall trend. **Observation:** There is a clear declining trend in the extent of Arctic sea ice over the given time period. #### Question: What types of correlations do these first two graphs of the article show? Select two answer choices: one for the first graph, and one for the second graph. 1. □ no correlation between time and the amount of Arctic sea ice 2. □ a positive correlation between time and the amount of Arctic sea ice 3. □ a negative correlation between time and average yearly temperature 4. □ a positive correlation between time and average yearly temperatures 5. □ a negative correlation between time and the amount of Arctic sea ice 6. □ no correlation between time and average yearly temperature **Key Points:** - The first graph demonstrates **a positive correlation between time and average yearly temperatures** (option 4). - The second graph illustrates **a negative correlation between time and the amount of Arctic sea ice** (option
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