A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = β0 + β1x + ε where y = traffic flow in vehicles per hour x = vehicle speed in miles per hour. The following data was collected from rush hour for 6 different highways in the city. Traffic Flow (y) Vehicle Speed (x) 1,254 35 1,327 40 1,227 30 1,335 45 1,348 50 1,126 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = b0 + b1x + b2x2 1. Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Round b0 to the nearest integer and b1 to two decimal places and b2 to three decimal places.) 2. Find the value of test statitc and p-value. 3. Based on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = β0 + β1x + ε where y = traffic flow in vehicles per hour x = vehicle speed in miles per hour. The following data was collected from rush hour for 6 different highways in the city. Traffic Flow (y) Vehicle Speed (x) 1,254 35 1,327 40 1,227 30 1,335 45 1,348 50 1,126 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = b0 + b1x + b2x2 1. Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Round b0 to the nearest integer and b1 to two decimal places and b2 to three decimal places.) 2. Find the value of test statitc and p-value. 3. Based on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)
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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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
y = β0 + β1x + ε
where
- y = traffic flow in vehicles per hour
- x = vehicle speed in miles per hour.
The following data was collected from rush hour for 6 different highways in the city.
| Traffic Flow (y) |
Vehicle Speed (x) |
|---|---|
| 1,254 | 35 |
| 1,327 | 40 |
| 1,227 | 30 |
| 1,335 | 45 |
| 1,348 | 50 |
| 1,126 | 25 |
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.
ŷ = b0 + b1x + b2x2
1.
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x + b2x2.
(Round b0 to the nearest integer and b1 to two decimal places and b2 to three decimal places.)2. Find the value of test statitc and p-value.
3. Based on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)
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