ei = 28, se = 8 (a-1) Calculate the standardized residual e*. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Standardized residual ei* (a-2) Determine whether or not it is unusual or an outlier. O Unusual O Outlier O Not unusual nor an outlier ei = -14, se = 6 (b-1) Calculate the standardized residual e;*. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Standardized residual ei*
ei = 28, se = 8 (a-1) Calculate the standardized residual e*. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Standardized residual ei* (a-2) Determine whether or not it is unusual or an outlier. O Unusual O Outlier O Not unusual nor an outlier ei = -14, se = 6 (b-1) Calculate the standardized residual e;*. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Standardized residual ei*
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Calculating and Evaluating Standardized Residuals
#### Given:
For the first case:
- \( e_i = 28 \)
- \( s_e = 8 \)
**(a-1)** *Calculate the standardized residual \( e_i^* \):*
*(Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)*
- Input box for: "Standardized residual \( e_i^* \)"
**(a-2)** *Determine whether or not it is unusual or an outlier:*
- Options:
- Unusual
- Outlier
- Not unusual nor an outlier
For the second case:
- \( e_i = -14 \)
- \( s_e = 6 \)
**(b-1)** *Calculate the standardized residual \( e_i^* \):*
*(Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)*
- Input box for: "Standardized residual \( e_i^* \)"
### Explanation
Standardized residuals are used in statistics to assess how far away a data point is from the expected value. It is calculated as:
\[ e_i^* = \frac{e_i}{s_e} \]
where:
- \( e_i \) is the residual for data point \( i \).
- \( s_e \) is the standard error.
The standardized residual helps in determining whether a data point is unusual or an outlier. Typically, residuals that fall beyond a certain range (e.g., >2 or <-2) may be considered as outliers. The user is prompted to input their calculated value and then determine its classification based on the options provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7b9bc12-9bec-475d-bc99-e13d2a9b76e2%2F667662e3-d081-47b4-9a3f-b774c8469a2e%2Fwy007ij_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating and Evaluating Standardized Residuals
#### Given:
For the first case:
- \( e_i = 28 \)
- \( s_e = 8 \)
**(a-1)** *Calculate the standardized residual \( e_i^* \):*
*(Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)*
- Input box for: "Standardized residual \( e_i^* \)"
**(a-2)** *Determine whether or not it is unusual or an outlier:*
- Options:
- Unusual
- Outlier
- Not unusual nor an outlier
For the second case:
- \( e_i = -14 \)
- \( s_e = 6 \)
**(b-1)** *Calculate the standardized residual \( e_i^* \):*
*(Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)*
- Input box for: "Standardized residual \( e_i^* \)"
### Explanation
Standardized residuals are used in statistics to assess how far away a data point is from the expected value. It is calculated as:
\[ e_i^* = \frac{e_i}{s_e} \]
where:
- \( e_i \) is the residual for data point \( i \).
- \( s_e \) is the standard error.
The standardized residual helps in determining whether a data point is unusual or an outlier. Typically, residuals that fall beyond a certain range (e.g., >2 or <-2) may be considered as outliers. The user is prompted to input their calculated value and then determine its classification based on the options provided.
![### Statistical Analysis Task
#### (b-2) Determine whether or not it is unusual or an outlier.
- Select one of the options:
- ○ Unusual
- ○ Outlier
- ○ Not unusual nor an outlier
Given data:
- \( e_i = 123 \)
- \( s_e = 61 \)
#### (c-1) Calculate the standardized residual \( e_i^* \).
- The standardized residual should be calculated using the formula:
\[ e_i^* = \frac{e_i}{s_e} \]
- **Instructions**: Negative values should be indicated with a minus sign. Round your answer to 3 decimal places.
Input field:
- **Standardized residual \( e_i^* \)**: [ ]
#### (c-2) Determine whether or not it is unusual or an outlier.
- Select one of the options:
- ○ Not unusual nor an outlier
- ○ Outlier
- ○ Unusual
#### Notes:
- A standardized residual that exceeds a certain threshold is generally used to determine if a data point is an outlier or unusual.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7b9bc12-9bec-475d-bc99-e13d2a9b76e2%2F667662e3-d081-47b4-9a3f-b774c8469a2e%2Ftbl1deh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis Task
#### (b-2) Determine whether or not it is unusual or an outlier.
- Select one of the options:
- ○ Unusual
- ○ Outlier
- ○ Not unusual nor an outlier
Given data:
- \( e_i = 123 \)
- \( s_e = 61 \)
#### (c-1) Calculate the standardized residual \( e_i^* \).
- The standardized residual should be calculated using the formula:
\[ e_i^* = \frac{e_i}{s_e} \]
- **Instructions**: Negative values should be indicated with a minus sign. Round your answer to 3 decimal places.
Input field:
- **Standardized residual \( e_i^* \)**: [ ]
#### (c-2) Determine whether or not it is unusual or an outlier.
- Select one of the options:
- ○ Not unusual nor an outlier
- ○ Outlier
- ○ Unusual
#### Notes:
- A standardized residual that exceeds a certain threshold is generally used to determine if a data point is an outlier or unusual.
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