A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷbo+b₁x + b₂x² where The following data were collected during rush hour for six highways leading out of the city. b₁ = b₂ = y = traffic flow in vehicles per hour * = vehicle speed in miles per hour Traffic Flow (y) 1257 1329 1227 1336 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 1349 1125 Vehicle Speed (2) 35 40 35 45 30 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the ² variable first using Data/Transform Data/Square.) bo= 55

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A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
ŷbo+b₁x + b₂x²
where
The following data were collected during rush hour for six highways leading out of the city.
y = traffic flow in vehicles per hour
* = vehicle speed in miles per hour
Traffic Flow (y)
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
1257
1329
1227
1336
1349
Vehicle Speed (2)
35
1125
40
35
45
30
a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the ² variable first using Data/Transform Data/Square.)
bo =
b₁ =
b₂ =
b. Using a = 0.01, test for a significant relationship.
F=
(to 4 decimals)
55
Transcribed Image Text:A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷbo+b₁x + b₂x² where The following data were collected during rush hour for six highways leading out of the city. y = traffic flow in vehicles per hour * = vehicle speed in miles per hour Traffic Flow (y) 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 1257 1329 1227 1336 1349 Vehicle Speed (2) 35 1125 40 35 45 30 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the ² variable first using Data/Transform Data/Square.) bo = b₁ = b₂ = b. Using a = 0.01, test for a significant relationship. F= (to 4 decimals) 55
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