!!!! MULTIPLE CHOICE QUESTION consider Y=2+3*X if X increases by 2 units, Y would increase by: 8 units 6 units Rewatch Submit
!!!! MULTIPLE CHOICE QUESTION consider Y=2+3*X if X increases by 2 units, Y would increase by: 8 units 6 units Rewatch Submit
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Bivariate Analysis: Modelling a Linear Relation**
---
**Linear Model Equation:**
\[ \text{Salary} = 10.41 + 2.1 \times \text{Whrs} \, \ldots (1) \]
---
**Example Calculations:**
1. **Predict Salary for 8 Work Hours:**
\[ \text{Salary} = 10.41 + 2.1 \times 8 = 10.41 + 16.8 = 27.21 \, \text{AFN} \]
2. **Predict Salary for 10 Work Hours:**
\[ \text{Salary} = 10.41 + 2.1 \times 10 = 10.41 + 21 = 31.41 \, \text{AFN} \]
**Analysis of Increase:**
- If the work hours increase by 2 hours, how much will the salary increase based on Model 1?
---
**Considering Changes in Work Hours:**
- **Before Increase:**
- \(\text{Whrs0} \rightarrow \text{Salary0} = 10.41 + 2.1 \times \text{Whrs0}\)
- **After Increase:**
- \(\text{Whrs1} = \text{Whrs0} + 2\)
- \(\text{Salary1} = 10.41 + 2.1 \times (\text{Whrs0} + 2)\)
- **Salary Difference Calculation:**
\[
\begin{align*}
\text{Salary1} - \text{Salary0} &= [10.41 + 2.1 \times (\text{Whrs0} + 2)] - [10.41 + 2.1 \times \text{Whrs0}] \\
&= 10.41 + 2.1 \times \text{Whrs0} + 4.2 - 10.41 - 2.1 \times \text{Whrs0} \\
&= 4.2
\end{align*}
\]
- Hence, by a 2-hour increase in work hours, the salary will increase by AFN 4200.
---
**Consider the General Formula:**
- \(\text{Consider } Y = a +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffaba5c86-73f4-4934-9afb-0b245e418cf2%2F4301ef7c-b8e9-46ee-90a8-82f2e93f0efb%2F6r9wa93_processed.png&w=3840&q=75)
Transcribed Image Text:**Bivariate Analysis: Modelling a Linear Relation**
---
**Linear Model Equation:**
\[ \text{Salary} = 10.41 + 2.1 \times \text{Whrs} \, \ldots (1) \]
---
**Example Calculations:**
1. **Predict Salary for 8 Work Hours:**
\[ \text{Salary} = 10.41 + 2.1 \times 8 = 10.41 + 16.8 = 27.21 \, \text{AFN} \]
2. **Predict Salary for 10 Work Hours:**
\[ \text{Salary} = 10.41 + 2.1 \times 10 = 10.41 + 21 = 31.41 \, \text{AFN} \]
**Analysis of Increase:**
- If the work hours increase by 2 hours, how much will the salary increase based on Model 1?
---
**Considering Changes in Work Hours:**
- **Before Increase:**
- \(\text{Whrs0} \rightarrow \text{Salary0} = 10.41 + 2.1 \times \text{Whrs0}\)
- **After Increase:**
- \(\text{Whrs1} = \text{Whrs0} + 2\)
- \(\text{Salary1} = 10.41 + 2.1 \times (\text{Whrs0} + 2)\)
- **Salary Difference Calculation:**
\[
\begin{align*}
\text{Salary1} - \text{Salary0} &= [10.41 + 2.1 \times (\text{Whrs0} + 2)] - [10.41 + 2.1 \times \text{Whrs0}] \\
&= 10.41 + 2.1 \times \text{Whrs0} + 4.2 - 10.41 - 2.1 \times \text{Whrs0} \\
&= 4.2
\end{align*}
\]
- Hence, by a 2-hour increase in work hours, the salary will increase by AFN 4200.
---
**Consider the General Formula:**
- \(\text{Consider } Y = a +
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