oooooooo O A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷbo+b₁x + b₂x² O O O O where The following data were collected during rush hour for six highways leading out of the city. bo= b₁ = b₂ = X b. Using a = 0.01, test for a significant relationship. F= (to 4 decimals) y = traffic flow in vehicles per hour x= vehicle speed in miles per hour Traffic Flow (3) 1257 1330 1226 1335 1350 1125 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the ² variable first using Data/Transform Data/Square.) p-value = (to 4 decimals) Vehicle Speed (2) 36 M The relationship is significant. c. Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals). vehicles per hour 40 35 45 55 30
oooooooo O A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷbo+b₁x + b₂x² O O O O where The following data were collected during rush hour for six highways leading out of the city. bo= b₁ = b₂ = X b. Using a = 0.01, test for a significant relationship. F= (to 4 decimals) y = traffic flow in vehicles per hour x= vehicle speed in miles per hour Traffic Flow (3) 1257 1330 1226 1335 1350 1125 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the ² variable first using Data/Transform Data/Square.) p-value = (to 4 decimals) Vehicle Speed (2) 36 M The relationship is significant. c. Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals). vehicles per hour 40 35 45 55 30
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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![## Chapter 16 Assignment
**3.** A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
\[ \hat{y} = b_0 + b_1 x + b_2 x^2 \]
where:
- \( y \) = traffic flow in vehicles per hour
- \( x \) = vehicle speed in miles per hour
**7.** The following data were collected during rush hour for six highways leading out of the city:
| | **Traffic Flow (y)** | **Vehicle Speed (x)** |
|---|---|---|
| | vehicles per hour | miles per hour |
| 1 | 1257 | 36 |
| 2 | 1330 | 40 |
| 3 | 1226 | 35 |
| 4 | 1335 | 45 |
| 5 | 1350 | 55 |
| 6 | 1125 | 30 |
**14.**
**a.** Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the \( x^2 \) variable first using Data/Transform Data/Square.)
\[
\begin{aligned}
b_0 & = \_\_\_\_ \\
b_1 & = \_\_\_\_ \\
b_2 & = \_\_\_\_ \\
\end{aligned}
\]
**b.** Using \( \alpha = 0.01 \), test for a significant relationship.
\[
\begin{aligned}
F & = \_\_\_\_ \text{ (to 4 decimals)} \\
p\text{-value} & = \_\_\_\_ \text{ (to 4 decimals)} \\
\end{aligned}
\]
The relationship \_\_\_\_\_\_ significant.
**c.** Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals).
\[
\text{vehicles per hour } = \_\_\_\_
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc3ad949-79b2-4a66-83f9-922936cf2321%2F71c40d59-cf79-418e-9513-eff8f55bc124%2Fi3p47j_processed.png&w=3840&q=75)
Transcribed Image Text:## Chapter 16 Assignment
**3.** A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
\[ \hat{y} = b_0 + b_1 x + b_2 x^2 \]
where:
- \( y \) = traffic flow in vehicles per hour
- \( x \) = vehicle speed in miles per hour
**7.** The following data were collected during rush hour for six highways leading out of the city:
| | **Traffic Flow (y)** | **Vehicle Speed (x)** |
|---|---|---|
| | vehicles per hour | miles per hour |
| 1 | 1257 | 36 |
| 2 | 1330 | 40 |
| 3 | 1226 | 35 |
| 4 | 1335 | 45 |
| 5 | 1350 | 55 |
| 6 | 1125 | 30 |
**14.**
**a.** Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the \( x^2 \) variable first using Data/Transform Data/Square.)
\[
\begin{aligned}
b_0 & = \_\_\_\_ \\
b_1 & = \_\_\_\_ \\
b_2 & = \_\_\_\_ \\
\end{aligned}
\]
**b.** Using \( \alpha = 0.01 \), test for a significant relationship.
\[
\begin{aligned}
F & = \_\_\_\_ \text{ (to 4 decimals)} \\
p\text{-value} & = \_\_\_\_ \text{ (to 4 decimals)} \\
\end{aligned}
\]
The relationship \_\_\_\_\_\_ significant.
**c.** Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals).
\[
\text{vehicles per hour } = \_\_\_\_
\]
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