To that end let X and Y to be two variables and suppose we have collected data on both of them from an underlying population: Obs 1 Two-way table can be constructed in three different cases. 2 EX: We have collected data on Salary, Education, Gender, and Working Hours from all 10 employees of a Tech company in Kabul. Education Salary HS 10 BA 20 30 26 36 3 A 4 5 5 6 7 8 9 Gender M M F F E F M M M M X1,x2,...,x Y₁Y2...... Y 10 M MA Bivariate Analysis: Two way Table Two way Table: 3: Working hrs and Salary. . MA PHD MA BA BA PowerPont Side Show-vaatp HS BA 50 50 36 25 25 23 15 26 Working His 8 9 9 10 9 8 8 7 6 7 Whr<7 17.81 Whr>8 Total Sal<20 2 0 0 2 [20-30) 0 4 0 4 Sal> 30 Total 0 2 0 4 4 4 4 10 Fr(Whr <7, Sal>=30)= 4 MULTIPLE CHOICE QUESTION 0 Rewatch Submit

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**Bivariate Analysis: Two-Way Table**

In bivariate analysis, we examine the relationship between two variables. Here, we have collected data on two variables: salary and working hours from an underlying population.

### Two-Way Table Example:
We have data on salary, education, gender, and working hours from 10 employees of a tech company in Kabul.

#### Employee Data:
| Obs | Gender | Education | Salary | Working Hrs |
|-----|--------|-----------|--------|-------------|
| 1   | M      | HS        | 20     | 6           |
| 2   | M      | HS        | 30     | 7           |
| 3   | M      | BA        | 26     | 7           |
| 4   | F      | MPH       | 24     | 7           |
| 5   | F      | PHD       | 35     | 8           |
| 6   | M      | MA        | 36     | 7           |
| 7   | M      | PHD       | 30     | 8           |
| 8   | F      | MA        | 24     | 7           |
| 9   | F      | HS        | 30     | 6           |
| 10  | M      | BA        | 26     | 7           |

### Two-Way Table: Working Hours and Salary
This table displays the frequency distribution of employees based on their working hours and salary ranges.

|               | Sal<20 | [20-30) | Sal≥30 | Total |
|---------------|--------|--------|-------|-------|
| Whr<7         | 2      | 0      | 0     | 2     |
| [7,8)         | 0      | 4      | 0     | 4     |
| Whr>8         | 0      | 0      | 4     | 4     |
| **Total**     | **2**  | **4**  | **4** | **10**|

### Multiple Choice Question:
**Fr(Whr < 7, Sal ≥ 30) =**

- [ ] 4
- [ ] 0

The frequency is 0, as there are no employees with working hours less than 7 and a salary of
Transcribed Image Text:**Bivariate Analysis: Two-Way Table** In bivariate analysis, we examine the relationship between two variables. Here, we have collected data on two variables: salary and working hours from an underlying population. ### Two-Way Table Example: We have data on salary, education, gender, and working hours from 10 employees of a tech company in Kabul. #### Employee Data: | Obs | Gender | Education | Salary | Working Hrs | |-----|--------|-----------|--------|-------------| | 1 | M | HS | 20 | 6 | | 2 | M | HS | 30 | 7 | | 3 | M | BA | 26 | 7 | | 4 | F | MPH | 24 | 7 | | 5 | F | PHD | 35 | 8 | | 6 | M | MA | 36 | 7 | | 7 | M | PHD | 30 | 8 | | 8 | F | MA | 24 | 7 | | 9 | F | HS | 30 | 6 | | 10 | M | BA | 26 | 7 | ### Two-Way Table: Working Hours and Salary This table displays the frequency distribution of employees based on their working hours and salary ranges. | | Sal<20 | [20-30) | Sal≥30 | Total | |---------------|--------|--------|-------|-------| | Whr<7 | 2 | 0 | 0 | 2 | | [7,8) | 0 | 4 | 0 | 4 | | Whr>8 | 0 | 0 | 4 | 4 | | **Total** | **2** | **4** | **4** | **10**| ### Multiple Choice Question: **Fr(Whr < 7, Sal ≥ 30) =** - [ ] 4 - [ ] 0 The frequency is 0, as there are no employees with working hours less than 7 and a salary of
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