A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + by z? 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 (2) 1257 36 1330 40 1227 30 1335 45 1349 55 1124 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 z variable first using Data/Transform Data/Square.) bo %3! b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) P-value = (to 4 decimals) The relationship- Select your answer -v significant. 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
icon
Related questions
icon
Concept explainers
Question
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
ŷ = bo + bịz + by z?
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 (2)
1257
36
1330
40
1227
30
1335
45
1349
55
1124
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 z
variable first using Data/Transform Data/Square.)
bo
%3!
b. Using a =
0.01, test for a significant relationship.
F =
(to 4 decimals)
P-value =
(to 4 decimals)
The relationship- Select your answer -v significant.
c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals).
vehicles per hour
Transcribed Image Text:A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + by z? 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 (2) 1257 36 1330 40 1227 30 1335 45 1349 55 1124 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 z variable first using Data/Transform Data/Square.) bo %3! b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) P-value = (to 4 decimals) The relationship- Select your answer -v significant. c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman