
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:**Understanding the Sensitivity of Coral Reefs to Water Temperature Changes**
Researchers have been investigating how sensitive coral reefs are to changes in sea surface temperatures. To explore this relationship, scientists collected and examined data on sea surface temperatures and coral growth rates per year from various locations in the Gulf of Mexico and the Caribbean Sea. Below is a table that presents the data for the Gulf of Mexico.
| Sea Surface Temperature | 26.7 | 26.6 | 26.6 | 26.4 |
|--------------------------|------|------|------|------|
| Growth | 0.85 | 0.85 | 0.79 | 0.82 |
### Analysis of the Data
The correlation coefficient (\(r\)) for this dataset is \(-0.8111\). This negative correlation indicates that as sea surface temperatures increase, coral growth tends to decrease. The strength and nature of this relationship are quantified by the correlation coefficient value.
### Key Consideration
What percentage of the change in coral reef growth can be attributed to changes in sea surface temperature? This is an important question for understanding the extent to which temperature impacts coral health, helping guide conservation efforts and strategies.
For further exploration and detailed analysis, students and researchers can apply statistical methods to determine the precise impact of sea surface temperature changes on coral reef growth.
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