A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x₁ and x₂. X1 X₂ 30 12 94 47 51 40 25 17 112 51 74 36 59 10 76 y 108 16 178 19 5 94 12 175 7 170 117 13 142 16 211
A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x₁ and x₂. X1 X₂ 30 12 94 47 51 40 25 17 112 51 74 36 59 10 76 y 108 16 178 19 5 94 12 175 7 170 117 13 142 16 211
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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Need help solving a b and c
![**Title: Regression Analysis for a Dependent Variable with Two Independent Variables**
A statistical program is recommended.
**Data Overview:**
Consider the following data for a dependent variable \( y \) and two independent variables, \( x_1 \) and \( x_2 \):
| \( x_1 \) | \( x_2 \) | \( y \) |
|----------|----------|----------|
| 30 | 12 | 94 |
| 47 | 10 | 108 |
| 25 | 17 | 112 |
| 51 | 16 | 178 |
| 40 | 5 | 94 |
| 51 | 19 | 175 |
| 74 | 7 | 170 |
| 36 | 12 | 117 |
| 59 | 13 | 142 |
| 76 | 16 | 211 |
**Tasks:**
(a) **Develop an estimated regression equation relating \( y \) to \( x_1 \).**
- Round your numerical values to one decimal place.
\[
\hat{y} =
\]
Predict \( y \) if \( x_1 = 51 \).
- Provide your answer, rounded to one decimal place.
\[
\boxed{}
\]
(b) **Develop an estimated regression equation relating \( y \) to \( x_2 \).**
- Round your numerical values to one decimal place.
\[
\hat{y} =
\]
Predict \( y \) if \( x_2 = 19 \).
- Provide your answer, rounded to one decimal place.
\[
\boxed{}
\]
(c) **Develop an estimated regression equation relating \( y \) to both \( x_1 \) and \( x_2 \).**
- Round your numerical values to one decimal place.
\[
\hat{y} =
\]
Predict \( y \) if \( x_1 = 51 \) and \( x_2 = 19 \).
- Provide your answer, rounded to one decimal place.
\[
\boxed{}
\]
**Explanation:**
This exercise involves developing regression equations based on the given data set. Each part focuses on estimating relationships and making predictions using linear regression techniques. The task](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e02f2d-b0b4-40f2-b59c-ee2919cc5490%2F366f2e61-b1dc-451f-bd5c-3897a786af37%2F8og7c6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Regression Analysis for a Dependent Variable with Two Independent Variables**
A statistical program is recommended.
**Data Overview:**
Consider the following data for a dependent variable \( y \) and two independent variables, \( x_1 \) and \( x_2 \):
| \( x_1 \) | \( x_2 \) | \( y \) |
|----------|----------|----------|
| 30 | 12 | 94 |
| 47 | 10 | 108 |
| 25 | 17 | 112 |
| 51 | 16 | 178 |
| 40 | 5 | 94 |
| 51 | 19 | 175 |
| 74 | 7 | 170 |
| 36 | 12 | 117 |
| 59 | 13 | 142 |
| 76 | 16 | 211 |
**Tasks:**
(a) **Develop an estimated regression equation relating \( y \) to \( x_1 \).**
- Round your numerical values to one decimal place.
\[
\hat{y} =
\]
Predict \( y \) if \( x_1 = 51 \).
- Provide your answer, rounded to one decimal place.
\[
\boxed{}
\]
(b) **Develop an estimated regression equation relating \( y \) to \( x_2 \).**
- Round your numerical values to one decimal place.
\[
\hat{y} =
\]
Predict \( y \) if \( x_2 = 19 \).
- Provide your answer, rounded to one decimal place.
\[
\boxed{}
\]
(c) **Develop an estimated regression equation relating \( y \) to both \( x_1 \) and \( x_2 \).**
- Round your numerical values to one decimal place.
\[
\hat{y} =
\]
Predict \( y \) if \( x_1 = 51 \) and \( x_2 = 19 \).
- Provide your answer, rounded to one decimal place.
\[
\boxed{}
\]
**Explanation:**
This exercise involves developing regression equations based on the given data set. Each part focuses on estimating relationships and making predictions using linear regression techniques. The task
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