6) Find the 95% prediction interval for y ifx = 4 (use the values from numbers 4 and 5)

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Below is the transcription of the text appearing in the image, which presents a set of data and related questions on statistical analysis. 

---

### Data Analysis Task

4) **Find the regression line equation for the following data (formula or calculator).**

|  X | 2 | 3 | 5 | 6 |
|----|---|---|---|---|
|  Y | 5 | 9 | 15| 19|

5) **Find the \( S_e \) for the following data (formula or calculator).**

|  X | 2 | 3 | 5 | 6 |
|----|---|---|---|---|
|  Y | 5 | 9 | 15| 19|

6) **Find the 95% prediction interval for \( y \) if \( x = 4 \)** 
(use the values from numbers 4 and 5)

---

### Explanation of Graphs and Diagrams:

The image contains two sets of data, each represented in a tabular format with two columns labeled "X" and "Y". The task involves performing statistical analysis on these data sets:

1. **Data Set for Regression Line Equation:**
   - The table has two rows and four columns for values of \( X \) and \( Y \).
   - \( X \) values: 2, 3, 5, and 6.
   - \( Y \) values: 5, 9, 15, and 19.

2. **Data Set for Finding \( S_e \) (Standard Error):**
   - It is the same as the data set for the regression line equation.
   - The table includes two rows and four columns for values of \( X \) and \( Y \).
   - \( X \) values: 2, 3, 5, and 6.
   - \( Y \) values: 5, 9, 15, and 19.

### Instructions for the Tasks:

- **Regression Line Equation:** The first task is to find the equation of the regression line for the data provided, either using a formula or a calculator.
  
- **Standard Error \( S_e \):** The second task is to calculate the standard error \( S_e \) using the given data, either through a formula or a calculator.

- **Prediction Interval:** The third task is to determine the 95%
Transcribed Image Text:Below is the transcription of the text appearing in the image, which presents a set of data and related questions on statistical analysis. --- ### Data Analysis Task 4) **Find the regression line equation for the following data (formula or calculator).** | X | 2 | 3 | 5 | 6 | |----|---|---|---|---| | Y | 5 | 9 | 15| 19| 5) **Find the \( S_e \) for the following data (formula or calculator).** | X | 2 | 3 | 5 | 6 | |----|---|---|---|---| | Y | 5 | 9 | 15| 19| 6) **Find the 95% prediction interval for \( y \) if \( x = 4 \)** (use the values from numbers 4 and 5) --- ### Explanation of Graphs and Diagrams: The image contains two sets of data, each represented in a tabular format with two columns labeled "X" and "Y". The task involves performing statistical analysis on these data sets: 1. **Data Set for Regression Line Equation:** - The table has two rows and four columns for values of \( X \) and \( Y \). - \( X \) values: 2, 3, 5, and 6. - \( Y \) values: 5, 9, 15, and 19. 2. **Data Set for Finding \( S_e \) (Standard Error):** - It is the same as the data set for the regression line equation. - The table includes two rows and four columns for values of \( X \) and \( Y \). - \( X \) values: 2, 3, 5, and 6. - \( Y \) values: 5, 9, 15, and 19. ### Instructions for the Tasks: - **Regression Line Equation:** The first task is to find the equation of the regression line for the data provided, either using a formula or a calculator. - **Standard Error \( S_e \):** The second task is to calculate the standard error \( S_e \) using the given data, either through a formula or a calculator. - **Prediction Interval:** The third task is to determine the 95%
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