MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
ŷ = bo + bịz + bzz?
where
y = traffic flow in vehicles per hour
T = 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)
1256
36
1329
45
1226
30
1335
45
1349
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 z variable first using Data/Transform Data/Square.)
bo =
bị =
b2 =
b. Using a = 0.01, test for a significant relationship.
F =
(to 4 decimals)
p-value =
(to 4 decimals)
The relationship
Select your answer - significant.
c. Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals).
vehicles per hour
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Transcribed Image Text:A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + bzz? where y = traffic flow in vehicles per hour T = 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) 1256 36 1329 45 1226 30 1335 45 1349 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 z variable first using Data/Transform Data/Square.) bo = bị = b2 = b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) p-value = (to 4 decimals) The relationship Select your answer - significant. c. Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals). vehicles per hour
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