The average temperature of the sea surface affects the rate at which a coral reef in that area grows. Scientists examined data on these variables at locations in the Gulf of Mexico and the Caribbean Sea. The scatterplot below shows the data for the Gulf of Mexico. A least-squares regression line has been added to the plot. 0.96 0.94 0.92 0.9 0.88 0.86 0.84 0.82 0.8 0.78 26.3 26.4 26.5 26.6 26.7 26.8 26.9 Sea Surface Temperature Coral Growth 25.9 26 26.1 26.2
The average temperature of the sea surface affects the rate at which a coral reef in that area grows. Scientists examined data on these variables at locations in the Gulf of Mexico and the Caribbean Sea. The scatterplot below shows the data for the Gulf of Mexico. A least-squares regression line has been added to the plot. 0.96 0.94 0.92 0.9 0.88 0.86 0.84 0.82 0.8 0.78 26.3 26.4 26.5 26.6 26.7 26.8 26.9 Sea Surface Temperature Coral Growth 25.9 26 26.1 26.2
Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
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![**Impact of Sea Surface Temperature on Coral Growth in the Gulf of Mexico**
The average temperature of the sea surface affects the rate at which a coral reef in that area grows. Scientists examined data on these variables at locations in the Gulf of Mexico and the Caribbean Sea. The scatterplot below shows the data for the Gulf of Mexico. A least-squares regression line has been added to the plot.
*Graph Description*:
- **Title**: The graph does not have a specified title, but it illustrates the relationship between Sea Surface Temperature and Coral Growth.
- **X-Axis**: The x-axis is labeled "Sea Surface Temperature," with values ranging from 25.9 to 26.9 degrees.
- **Y-Axis**: The y-axis is labeled "Coral Growth," with values ranging from 0.78 to 0.96.
- **Data Points**: The scatterplot contains six data points, each representing the observed coral growth at a certain sea surface temperature.
- **Regression Line**: A red least-squares regression line is included, showing a negative correlation between sea surface temperature and coral growth. As the temperature increases, the coral growth tends to decrease.
**Query**:
Estimate the residual (error) in the predicted amount of coral growth for a sea surface temperature of 26.7 degrees when using the plotted regression line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f14c8c-5141-4be2-aa93-07a6356450c6%2Fb7278cab-bf42-4ff2-8ee2-82230123e8d2%2Fm1g58kj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Impact of Sea Surface Temperature on Coral Growth in the Gulf of Mexico**
The average temperature of the sea surface affects the rate at which a coral reef in that area grows. Scientists examined data on these variables at locations in the Gulf of Mexico and the Caribbean Sea. The scatterplot below shows the data for the Gulf of Mexico. A least-squares regression line has been added to the plot.
*Graph Description*:
- **Title**: The graph does not have a specified title, but it illustrates the relationship between Sea Surface Temperature and Coral Growth.
- **X-Axis**: The x-axis is labeled "Sea Surface Temperature," with values ranging from 25.9 to 26.9 degrees.
- **Y-Axis**: The y-axis is labeled "Coral Growth," with values ranging from 0.78 to 0.96.
- **Data Points**: The scatterplot contains six data points, each representing the observed coral growth at a certain sea surface temperature.
- **Regression Line**: A red least-squares regression line is included, showing a negative correlation between sea surface temperature and coral growth. As the temperature increases, the coral growth tends to decrease.
**Query**:
Estimate the residual (error) in the predicted amount of coral growth for a sea surface temperature of 26.7 degrees when using the plotted regression line.
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