Fr(Gender Male, Education=BA)=

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Bivariate Analysis: Two-Way Table**

To that end, let X and Y be two variables, and suppose we have collected data on both of them from an underlying population: 

\[ x_1, x_2, ..., x_n \] 

\[ y_1, y_2, ..., y_n \] 

Two-way tables can be constructed in three different cases.

**Example:** We have collected data on Salary, Education, Gender, and Working Hours from all 10 employees of a Tech company in Kabul.

**Data Table:**

| Obs | Gender | Education | Salary | Working Hours |
|-----|--------|-----------|--------|---------------|
| 1   | M      | HS        | 20     | 9             |
| 2   | M      | BA        | 30     | 8             |
| 3   | M      | MA        | 25     | 7             |
| 4   | F      | BA        | 40     | 9             |
| 5   | M      | MA        | 50     | 10            |
| 6   | F      | BA        | 23     | 8             |
| 7   | M      | PHD       | 12     | 8             |
| 8   | F      | MA        | 30     | 7             |
| 9   | F      | HS        | 15     | 8             |
| 10  | M      | BA        | 26     | 7             |

**Two-Way Table 1: Gender and Education**

|        | HS | BA | MA | PHD | Total |
|--------|----|----|----|-----|-------|
| F      | 0  | 2  | 2  | 0   | 3     |
| M      | 2  | 4  | 1  | 0   | 7     |
| **Total** | 2  | 4  | 3  | 1   | 10    |

**Multiple Choice Question**

Calculate the frequency \( Fr(\text{Gender}=\text{Male}, \text{Education}=\text{BA}) \):

- [ ] 4
- [ ] 1

*Select the correct frequency and click "Submit" to check your answer.*
Transcribed Image Text:**Bivariate Analysis: Two-Way Table** To that end, let X and Y be two variables, and suppose we have collected data on both of them from an underlying population: \[ x_1, x_2, ..., x_n \] \[ y_1, y_2, ..., y_n \] Two-way tables can be constructed in three different cases. **Example:** We have collected data on Salary, Education, Gender, and Working Hours from all 10 employees of a Tech company in Kabul. **Data Table:** | Obs | Gender | Education | Salary | Working Hours | |-----|--------|-----------|--------|---------------| | 1 | M | HS | 20 | 9 | | 2 | M | BA | 30 | 8 | | 3 | M | MA | 25 | 7 | | 4 | F | BA | 40 | 9 | | 5 | M | MA | 50 | 10 | | 6 | F | BA | 23 | 8 | | 7 | M | PHD | 12 | 8 | | 8 | F | MA | 30 | 7 | | 9 | F | HS | 15 | 8 | | 10 | M | BA | 26 | 7 | **Two-Way Table 1: Gender and Education** | | HS | BA | MA | PHD | Total | |--------|----|----|----|-----|-------| | F | 0 | 2 | 2 | 0 | 3 | | M | 2 | 4 | 1 | 0 | 7 | | **Total** | 2 | 4 | 3 | 1 | 10 | **Multiple Choice Question** Calculate the frequency \( Fr(\text{Gender}=\text{Male}, \text{Education}=\text{BA}) \): - [ ] 4 - [ ] 1 *Select the correct frequency and click "Submit" to check your answer.*
Expert Solution
Step 1

Here given , summary of given data in two way Table using education and gender.

Here from given table use frequency.

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