Use the data in the table below to complete parts (a) through (c). EQuesti 7 8 9. 15 18 23 32 35 27 16 48 22 25 24 E Click the icon to view the steps for finding influential points. (a) Construct a scatterplot of the data. Choose the correct graph below. O A. OB. OC. OD. Ay 40- Av AY 12- 50- 12- 40 0- -12 (b) Identify any possible outliers. O A. The point (7,35) may be an outlier. O B. The point (48,4) may be an outlier,

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**Transcription for Educational Website**

Use the data in the table below to complete parts (a) through (c):

| x  | y  |
|----|----|
| 5  | 32 |
| 7  | 35 |
| 8  | 27 |
| 9  | 22 |
| 15 | 25 |
| 16 | 24 |
| 18 | 23 |
| 48 | 4  |

Click the icon to view the steps for finding influential points.

**(a) Construct a scatterplot of the data. Choose the correct graph below:**

- O A.
  - This scatterplot has axes marked from 0 to 50 on both x and y. Several data points are plotted.
- O B.
  - This plot shows axes ranging from -12 to 40 on the x-axis and the y-axis, featuring plotted points.
- O C.
  - Depicts axes from 0 to 40 on the x-axis and y-axis, with plotted points.
- O D.
  - A plot with x and y ranging from -12 to 40, shows scattered points.

**(b) Identify any possible outliers.**

- O A. The point (7, 35) may be an outlier.
- O B. The point (48, 4) may be an outlier.

Click to select your answer.

This exercise involves analyzing a set of data points to identify the correct graphical representation and potential outliers.
Transcribed Image Text:**Transcription for Educational Website** Use the data in the table below to complete parts (a) through (c): | x | y | |----|----| | 5 | 32 | | 7 | 35 | | 8 | 27 | | 9 | 22 | | 15 | 25 | | 16 | 24 | | 18 | 23 | | 48 | 4 | Click the icon to view the steps for finding influential points. **(a) Construct a scatterplot of the data. Choose the correct graph below:** - O A. - This scatterplot has axes marked from 0 to 50 on both x and y. Several data points are plotted. - O B. - This plot shows axes ranging from -12 to 40 on the x-axis and the y-axis, featuring plotted points. - O C. - Depicts axes from 0 to 40 on the x-axis and y-axis, with plotted points. - O D. - A plot with x and y ranging from -12 to 40, shows scattered points. **(b) Identify any possible outliers.** - O A. The point (7, 35) may be an outlier. - O B. The point (48, 4) may be an outlier. Click to select your answer. This exercise involves analyzing a set of data points to identify the correct graphical representation and potential outliers.
## Data and Outliers Analysis

### Data Table
The table below lists pairs of values for \( x \) and \( y \):

| \( x \) | \( y \) |
|---------|---------|
| 5       | 32      |
| 7       | 35      |
| 8       | 27      |
| 9       | 22      |
| 15      | 25      |
| 16      | 24      |
| 18      | 23      |
| 48      | 4       |

### Steps for Identifying Influential Points
There is an interactive section (clickable icon not shown) where steps to find influential points can be accessed.

### Graphs
- A number line graph showing range from 0 to 50.
- A number line graph showing range from -12 to 42.
- Additional interactive graphs not fully visible.

### (b) Identify Any Possible Outliers
Choose the point that may be an outlier:

- \( \text{A. The point } (7,35) \text{ may be an outlier.} \)
- \( \text{B. The point } (48,4) \text{ may be an outlier.} \)
- \( \text{C. The point } (18,23) \text{ may be an outlier.} \)
- \( \text{D. The point } (5,32) \text{ may be an outlier.} \)
- \( \text{E. There are no outliers.} \) *(Currently selected option)*

### (c) Determine if the Point is Influential
Determine if a point is influential based on change in slope or intercept — significant if change is larger than 10%.

- The point [dropdown selection] is [dropdown selection: significant] significantly different, and the intercept is [dropdown selection: significant] significantly different.

### Instructions
Click to select your answer to affirm the choices made based on the analysis of the data table.

---

This text covers points from identifying outliers to assessing the influence of data points based on their statistical significance.
Transcribed Image Text:## Data and Outliers Analysis ### Data Table The table below lists pairs of values for \( x \) and \( y \): | \( x \) | \( y \) | |---------|---------| | 5 | 32 | | 7 | 35 | | 8 | 27 | | 9 | 22 | | 15 | 25 | | 16 | 24 | | 18 | 23 | | 48 | 4 | ### Steps for Identifying Influential Points There is an interactive section (clickable icon not shown) where steps to find influential points can be accessed. ### Graphs - A number line graph showing range from 0 to 50. - A number line graph showing range from -12 to 42. - Additional interactive graphs not fully visible. ### (b) Identify Any Possible Outliers Choose the point that may be an outlier: - \( \text{A. The point } (7,35) \text{ may be an outlier.} \) - \( \text{B. The point } (48,4) \text{ may be an outlier.} \) - \( \text{C. The point } (18,23) \text{ may be an outlier.} \) - \( \text{D. The point } (5,32) \text{ may be an outlier.} \) - \( \text{E. There are no outliers.} \) *(Currently selected option)* ### (c) Determine if the Point is Influential Determine if a point is influential based on change in slope or intercept — significant if change is larger than 10%. - The point [dropdown selection] is [dropdown selection: significant] significantly different, and the intercept is [dropdown selection: significant] significantly different. ### Instructions Click to select your answer to affirm the choices made based on the analysis of the data table. --- This text covers points from identifying outliers to assessing the influence of data points based on their statistical significance.
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