Buried change Drilling down beneath a lake in Alaska yields chemical evidence of past changes in climate. Biological silicon, left by the skeletons of single-celled creatures called diatoms, is a measure of the abundance of life in the lake. A variable based on the ratio of certain isotopes gives an indirect measure of moisture, mostly from snow. As we drill down, we look further into the past. Here is a scatterplot of data from 2300 to 12,000 years ago. Describe the effect the point in the upper-right corner has on the equation of the least-squares regression line. Silicon 350 - 300 250 200 150 100- 50 0 ●● -21.8 -21.4 -21.0 -20.6 -20.2 -19.8 -19.4 Isotope

MATLAB: An Introduction with Applications
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**Buried Change**: Drilling down beneath a lake in Alaska yields chemical evidence of past changes in climate. Biological silicon, left by the skeletons of single-celled creatures called diatoms, is a measure of the abundance of life in the lake. A variable based on the ratio of certain isotopes gives an indirect measure of moisture, mostly from snow. As we drill down, we look further into the past. Here is a scatterplot of data from 2300 to 12,000 years ago. Describe the effect the point in the upper-right corner has on the equation of the least-squares regression line.

**Scatterplot Description**: 

- **Axes**: 
  - The vertical axis is labeled "Silicon" with values ranging from 0 to 350.
  - The horizontal axis is labeled "Isotope" with values ranging from approximately -21.8 to -19.4.

- **Data Points**: 
  - The scatterplot shows several purple data points scattered across the graph.
  - One point is prominently located in the upper-right corner.

- **Regression Line**: 
  - A red line represents the least-squares regression line. 
  - The line has a slightly downward slope, indicating a negative relationship between isotope ratios and silicon values. 

The presence of the point in the upper-right corner likely affects the slope and position of the regression line, potentially skewing the data analysis by pulling the line upwards and decreasing the strength of the negative correlation.
Transcribed Image Text:**Buried Change**: Drilling down beneath a lake in Alaska yields chemical evidence of past changes in climate. Biological silicon, left by the skeletons of single-celled creatures called diatoms, is a measure of the abundance of life in the lake. A variable based on the ratio of certain isotopes gives an indirect measure of moisture, mostly from snow. As we drill down, we look further into the past. Here is a scatterplot of data from 2300 to 12,000 years ago. Describe the effect the point in the upper-right corner has on the equation of the least-squares regression line. **Scatterplot Description**: - **Axes**: - The vertical axis is labeled "Silicon" with values ranging from 0 to 350. - The horizontal axis is labeled "Isotope" with values ranging from approximately -21.8 to -19.4. - **Data Points**: - The scatterplot shows several purple data points scattered across the graph. - One point is prominently located in the upper-right corner. - **Regression Line**: - A red line represents the least-squares regression line. - The line has a slightly downward slope, indicating a negative relationship between isotope ratios and silicon values. The presence of the point in the upper-right corner likely affects the slope and position of the regression line, potentially skewing the data analysis by pulling the line upwards and decreasing the strength of the negative correlation.
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