Identify which of the following scatter plots contain possible outliers or observations influential for the least squares regression line. The word bank is at the bottom. Drag and drop all descriptions that apply

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Identify which of the following scatter plots contain possible outliers or observations influential for the least squares regression line. The word bank is at the bottom. Drag and drop all descriptions that apply

### Educational Website Content: Analysis of Statistical Graphs

#### 1. Graph Analysis: Test Scores vs. Number of Incorrect Answers

- **Graph Overview**: The scatter plot displays the relationship between test scores and the number of incorrect answers.
- **Axes**:
  - **X-axis**: Number of incorrect answers (ranging from 0 to 20).
  - **Y-axis**: Test score (ranging from 40 to 100).
- **Trend**: There is a negative correlation; as the number of incorrect answers increases, the test scores tend to decrease.

#### 2. Graph Analysis: Years of Employment vs. Age

- **Graph Overview**: This scatter plot illustrates the relationship between a person’s age and their years of full-time employment.
- **Axes**:
  - **X-axis**: Age (ranging from 35 to 55 years).
  - **Y-axis**: Years of full-time employment (ranging from 0 to 25).
- **Trend**: A positive correlation exists; older individuals tend to have more years of full-time employment.

#### 3. Graph Analysis: Oil Changes vs. Distance Driven

- **Graph Overview**: The scatter plot shows the relationship between the number of oil changes and the distance driven.
- **Axes**:
  - **X-axis**: Distance driven (ranging from 20,000 to 120,000 miles).
  - **Y-axis**: Number of oil changes (ranging from 0 to 25).
- **Trend**: A positive correlation is evident; as distance driven increases, the number of oil changes also tends to increase.

#### 4. Graph Analysis: Daily Temperature Ranges

- **Graph Overview**: This scatter plot represents the relationship between daily low and high temperatures.
- **Axes**:
  - **X-axis**: Daily high temperature (ranging from 40°F to 55°F).
  - **Y-axis**: Daily low temperature (ranging from 25°F to 40°F).
- **Trend**: A positive correlation exists; higher daily high temperatures tend to correspond with higher daily low temperatures.

Each graph demonstrates a distinct type of correlation which can be vital for educational insights into data analysis and interpretation.
Transcribed Image Text:### Educational Website Content: Analysis of Statistical Graphs #### 1. Graph Analysis: Test Scores vs. Number of Incorrect Answers - **Graph Overview**: The scatter plot displays the relationship between test scores and the number of incorrect answers. - **Axes**: - **X-axis**: Number of incorrect answers (ranging from 0 to 20). - **Y-axis**: Test score (ranging from 40 to 100). - **Trend**: There is a negative correlation; as the number of incorrect answers increases, the test scores tend to decrease. #### 2. Graph Analysis: Years of Employment vs. Age - **Graph Overview**: This scatter plot illustrates the relationship between a person’s age and their years of full-time employment. - **Axes**: - **X-axis**: Age (ranging from 35 to 55 years). - **Y-axis**: Years of full-time employment (ranging from 0 to 25). - **Trend**: A positive correlation exists; older individuals tend to have more years of full-time employment. #### 3. Graph Analysis: Oil Changes vs. Distance Driven - **Graph Overview**: The scatter plot shows the relationship between the number of oil changes and the distance driven. - **Axes**: - **X-axis**: Distance driven (ranging from 20,000 to 120,000 miles). - **Y-axis**: Number of oil changes (ranging from 0 to 25). - **Trend**: A positive correlation is evident; as distance driven increases, the number of oil changes also tends to increase. #### 4. Graph Analysis: Daily Temperature Ranges - **Graph Overview**: This scatter plot represents the relationship between daily low and high temperatures. - **Axes**: - **X-axis**: Daily high temperature (ranging from 40°F to 55°F). - **Y-axis**: Daily low temperature (ranging from 25°F to 40°F). - **Trend**: A positive correlation exists; higher daily high temperatures tend to correspond with higher daily low temperatures. Each graph demonstrates a distinct type of correlation which can be vital for educational insights into data analysis and interpretation.
This image contains two scatter plots analyzing different datasets, each with distinct variables and axes.

### Left Scatter Plot:
- **Title**: The relationship between the price of gasoline and the duration of commute.
- **X-axis**: Price of gasoline in dollars per gallon (ranging from $2.00 to $2.30).
- **Y-axis**: Duration of commute in minutes (ranging from 22 to 28 minutes).
- **Data Points**: Each point represents a specific observation of gas price and the corresponding commute time.
- **Observation**: The points show some variation, but no clear trend or pattern is immediately obvious.

### Right Scatter Plot:
- **Title**: The relationship between hours slept and coffee consumed.
- **X-axis**: Hours slept (ranging from 5.5 to 8.5 hours).
- **Y-axis**: Coffee consumed in ounces (ranging from 10 to 45 ounces).
- **Data Points**: Each point represents an individual's hours slept and coffee consumption.
- **Observation**: There appears to be a slight negative trend, where fewer hours of sleep might correlate with higher coffee consumption.

### Answer Bank:
Below the plots, there is an "Answer Bank" with the options:
1. **No outliers or influential observations**
2. **Influential observation**
3. **Outlier**

These options may relate to a question or analysis regarding the data points in each scatter plot and whether they include any statistical outliers or influential data.

This visual data can be used to explore potential correlations between variables, though a deeper statistical analysis would be needed to draw definitive conclusions.
Transcribed Image Text:This image contains two scatter plots analyzing different datasets, each with distinct variables and axes. ### Left Scatter Plot: - **Title**: The relationship between the price of gasoline and the duration of commute. - **X-axis**: Price of gasoline in dollars per gallon (ranging from $2.00 to $2.30). - **Y-axis**: Duration of commute in minutes (ranging from 22 to 28 minutes). - **Data Points**: Each point represents a specific observation of gas price and the corresponding commute time. - **Observation**: The points show some variation, but no clear trend or pattern is immediately obvious. ### Right Scatter Plot: - **Title**: The relationship between hours slept and coffee consumed. - **X-axis**: Hours slept (ranging from 5.5 to 8.5 hours). - **Y-axis**: Coffee consumed in ounces (ranging from 10 to 45 ounces). - **Data Points**: Each point represents an individual's hours slept and coffee consumption. - **Observation**: There appears to be a slight negative trend, where fewer hours of sleep might correlate with higher coffee consumption. ### Answer Bank: Below the plots, there is an "Answer Bank" with the options: 1. **No outliers or influential observations** 2. **Influential observation** 3. **Outlier** These options may relate to a question or analysis regarding the data points in each scatter plot and whether they include any statistical outliers or influential data. This visual data can be used to explore potential correlations between variables, though a deeper statistical analysis would be needed to draw definitive conclusions.
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