Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Left Foot Right Foot 89 86 89 87 78 78 80 81 87 82 86 85 76 80 88 89 Send data to Excel

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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**Foot Temperatures:** 

Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for eight diabetic patients. The results are presented in the following table:

| Left Foot | Right Foot |
|-----------|------------|
| 89        | 86         |
| 89        | 87         |
| 78        | 78         |
| 80        | 81         |
| 87        | 82         |
| 86        | 85         |
| 76        | 80         |
| 88        | 89         |

[Send data to Excel] button is available to export the data for further analysis.

In this table, each row represents a different diabetic patient, with their corresponding left and right foot temperatures recorded. Observing the temperature variations between the left and right feet can provide insights into the risk of foot ulcers developing.

Graphs or diagrams for this data could include a scatter plot comparing left and right foot temperatures for each patient, a bar chart representing the temperatures for both feet for each patient, or a box plot showing the distribution of temperatures for the left and right feet across all patients. These visual representations can help in easily identifying patients with significant discrepancies in foot temperatures, potentially indicating higher risk areas for ulcers.
Transcribed Image Text:**Foot Temperatures:** Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for eight diabetic patients. The results are presented in the following table: | Left Foot | Right Foot | |-----------|------------| | 89 | 86 | | 89 | 87 | | 78 | 78 | | 80 | 81 | | 87 | 82 | | 86 | 85 | | 76 | 80 | | 88 | 89 | [Send data to Excel] button is available to export the data for further analysis. In this table, each row represents a different diabetic patient, with their corresponding left and right foot temperatures recorded. Observing the temperature variations between the left and right feet can provide insights into the risk of foot ulcers developing. Graphs or diagrams for this data could include a scatter plot comparing left and right foot temperatures for each patient, a bar chart representing the temperatures for both feet for each patient, or a box plot showing the distribution of temperatures for the left and right feet across all patients. These visual representations can help in easily identifying patients with significant discrepancies in foot temperatures, potentially indicating higher risk areas for ulcers.
**Educational Content on Scatterplots**

### Constructing a Scatterplot: Visualization of Foot Temperatures

#### Problem Statement:
(a) Construct a scatterplot of the right foot temperature (\( y \)) versus the left foot temperature (\( x \)).

#### Graph Details:
**Title:** Right Foot Temperature vs. Left Foot Temperature  
**Axes Labels:**  
- Horizontal axis (\( x \)-axis): Left Foot Temperature (°F)
- Vertical axis (\( y \)-axis): Right Foot Temperature (°F)

#### Explanation of the Graph:
The graph provided is a blank scatterplot grid for plotting right foot temperature against left foot temperature. The horizontal axis (x-axis) represents the left foot temperature in degrees Fahrenheit (°F) and ranges from 70°F to 92°F, marked in 2°F increments. The vertical axis (y-axis) represents the right foot temperature, also in degrees Fahrenheit (°F), with the same range and increments as the x-axis.

#### Graph Components:
- **Grid Lines:** Uniformly spaced both horizontally and vertically, which facilitate easy plotting of data points.
- **Axes Scales:** Both axes use a scale that starts at 70°F and ends at 92°F, with grid lines marking every 2°F interval.
- **Interactive Tools:**
  - There are icons on the upper right corner of the graph indicating interactive tools:
    - **Eraser Icon:** Likely used to remove plotted points or reset parts of the graph.
    - **Pencil Icon:** Possibly used to plot points or draw on the graph.
    - **Grid Icon:** Could be used for adjusting grid visibility or settings.
    - **X Icon:** Looks like a close or delete option, possibly to clear the entire graph or an element of it.
    - **Circular Arrow Icon:** Suggests a reset or undo action to revert recent changes.

#### How to Use the Scatterplot:
1. **Identify the Data Points:** Gather the temperature readings of both the left and right foot for each subject.
2. **Plot the Data Points:** For each pair of readings (left and right foot temperatures), locate the corresponding x (left foot) and y (right foot) coordinates on the graph and mark it.
3. **Analyze the Plot:** After plotting all points, analyze the pattern to identify any correlation between the left and right foot temperatures.

This scatterplot is a useful tool for visually analyzing the relationship between two continuous variables,
Transcribed Image Text:**Educational Content on Scatterplots** ### Constructing a Scatterplot: Visualization of Foot Temperatures #### Problem Statement: (a) Construct a scatterplot of the right foot temperature (\( y \)) versus the left foot temperature (\( x \)). #### Graph Details: **Title:** Right Foot Temperature vs. Left Foot Temperature **Axes Labels:** - Horizontal axis (\( x \)-axis): Left Foot Temperature (°F) - Vertical axis (\( y \)-axis): Right Foot Temperature (°F) #### Explanation of the Graph: The graph provided is a blank scatterplot grid for plotting right foot temperature against left foot temperature. The horizontal axis (x-axis) represents the left foot temperature in degrees Fahrenheit (°F) and ranges from 70°F to 92°F, marked in 2°F increments. The vertical axis (y-axis) represents the right foot temperature, also in degrees Fahrenheit (°F), with the same range and increments as the x-axis. #### Graph Components: - **Grid Lines:** Uniformly spaced both horizontally and vertically, which facilitate easy plotting of data points. - **Axes Scales:** Both axes use a scale that starts at 70°F and ends at 92°F, with grid lines marking every 2°F interval. - **Interactive Tools:** - There are icons on the upper right corner of the graph indicating interactive tools: - **Eraser Icon:** Likely used to remove plotted points or reset parts of the graph. - **Pencil Icon:** Possibly used to plot points or draw on the graph. - **Grid Icon:** Could be used for adjusting grid visibility or settings. - **X Icon:** Looks like a close or delete option, possibly to clear the entire graph or an element of it. - **Circular Arrow Icon:** Suggests a reset or undo action to revert recent changes. #### How to Use the Scatterplot: 1. **Identify the Data Points:** Gather the temperature readings of both the left and right foot for each subject. 2. **Plot the Data Points:** For each pair of readings (left and right foot temperatures), locate the corresponding x (left foot) and y (right foot) coordinates on the graph and mark it. 3. **Analyze the Plot:** After plotting all points, analyze the pattern to identify any correlation between the left and right foot temperatures. This scatterplot is a useful tool for visually analyzing the relationship between two continuous variables,
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