A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = b0+b1x+b2x^2 where: y = traffic flow in vehicles per hour x = vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow (y) Vehicle Speed (x) 1256 35 1329 40 1227 30 1336 50 1350 55 1125 25 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.) b0 = ? b1 = ? b2 = ? b. Using alpha = 0.01, test for a significant relationship. F = ? (to 4 decimals) P-value = ? (to 4 decimals) c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = b0+b1x+b2x^2 where: y = traffic flow in vehicles per hour x = vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow (y) Vehicle Speed (x) 1256 35 1329 40 1227 30 1336 50 1350 55 1125 25 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.) b0 = ? b1 = ? b2 = ? b. Using alpha = 0.01, test for a significant relationship. F = ? (to 4 decimals) P-value = ? (to 4 decimals) c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour
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.
ŷ = b0+b1x+b2x^2
where:
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
| Traffic Flow (y) | Vehicle Speed (x) |
| 1256 | 35 |
| 1329 | 40 |
| 1227 | 30 |
| 1336 | 50 |
| 1350 | 55 |
| 1125 | 25 |
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.)
b0 = ?
b1 = ?
b2 = ?
b. Using alpha = 0.01, test for a significant relationship.
F = ? (to 4 decimals)
P-value = ? (to 4 decimals)
c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals).
vehicles per hour
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