Make a scatter plot for the given data. Use the scatter plot to describe whether or not the variables appear to be related x 9 7 2 6 5 11, 8 y 13 5 1 4 7 13 10 О А. -10 Q The variables appear to be related. B. -10 Q The variables appear to be related. 8 21 Q Q The variables appear to be related. O D. 22- The variables do not appear to be related.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Educational Content: Scatter Plot Analysis

#### Scatter Plot Data
For the given data, a scatter plot is constructed to analyze the relationship between two variables, \( x \) and \( y \):

- \( x \): 9, 7, 2, 6, 5, 11, 8
- \( y \): 13, 5, 1, 4, 7, 13, 10

#### Analysis of Scatter Plots

The task involves selecting the correct scatter plot and determining if the variables \( x \) and \( y \) show a relationship. Four options (A, B, C, and D) are provided, each with a corresponding scatter plot:

1. **Option A:**
   - A scatter plot is presented showing a collection of points that suggest a relationship between \( x \) and \( y \).
   - The description states: "The variables appear to be related."

2. **Option B:**
   - This scatter plot also displays a set of points indicating a possible relationship between the variables.
   - The description states: "The variables appear to be related."

3. **Option C:**
   - Similar to the previous plots, it shows a distribution that suggests a relationship.
   - The description states: "The variables appear to be related."

4. **Option D:**
   - This scatter plot depicts a random distribution of points, indicating no apparent relationship.
   - The description states: "The variables do not appear to be related."

#### Conclusion

By analyzing the scatter plots:

- **Options A, B, and C** suggest a relationship between the variables because of the pattern of the data points.
- **Option D** indicates no relationship due to the lack of a discernible pattern.

This exercise helps in understanding how visual data distribution in scatter plots can suggest or refute a potential relationship between two variables.
Transcribed Image Text:### Educational Content: Scatter Plot Analysis #### Scatter Plot Data For the given data, a scatter plot is constructed to analyze the relationship between two variables, \( x \) and \( y \): - \( x \): 9, 7, 2, 6, 5, 11, 8 - \( y \): 13, 5, 1, 4, 7, 13, 10 #### Analysis of Scatter Plots The task involves selecting the correct scatter plot and determining if the variables \( x \) and \( y \) show a relationship. Four options (A, B, C, and D) are provided, each with a corresponding scatter plot: 1. **Option A:** - A scatter plot is presented showing a collection of points that suggest a relationship between \( x \) and \( y \). - The description states: "The variables appear to be related." 2. **Option B:** - This scatter plot also displays a set of points indicating a possible relationship between the variables. - The description states: "The variables appear to be related." 3. **Option C:** - Similar to the previous plots, it shows a distribution that suggests a relationship. - The description states: "The variables appear to be related." 4. **Option D:** - This scatter plot depicts a random distribution of points, indicating no apparent relationship. - The description states: "The variables do not appear to be related." #### Conclusion By analyzing the scatter plots: - **Options A, B, and C** suggest a relationship between the variables because of the pattern of the data points. - **Option D** indicates no relationship due to the lack of a discernible pattern. This exercise helps in understanding how visual data distribution in scatter plots can suggest or refute a potential relationship between two variables.
Expert Solution
Step 1

Given:

In this problem, the given details are,

The given x,y-plane values,

x 9 7 2 6 5 11 8
y 13 5 1 4 7 13 10

Here, to make a scatter plot for the given data and then use the scatter plot to describe whether or not the variables appear to be related.

In the given data, four different options are given and we want to find out the correct option with the help of the given x,y-plane values.

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