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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

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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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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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