Tab (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Ho Bo=B1-B2=0 H: One or more of the parameters is not equal to zero. ọ Ho: Bí = B2 = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. Ha Bo B₁ =B2=0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= What is your conclusion? O Do not reject H. We conclude that the relationship is significant. O Reject Ho. We cannot conclude that the relationship is significant. O Reject Ho. We conclude that the relationship is significant. O Do not reject Ho. We cannot conclude that the relationship is significant. (c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.) vehicles per hour Type here to search 0 # $ % 2 3 4 5 6 W E R T A S D SLK FR N 22 Alt 27 8 9 G H K X C V B N M 0 73°F 40 . V All Ctri D A statistical program is recommended. A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: where y= B₁ + B₁x+ 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 Vehicle Speed (y) (x) 1,254 35 1,330 40 1,225 30 1,334 45 1,348 50 1,123 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. + (a) Develop an estimated regression equation for the data of the form ŷ = Bo+ B₁x + B₂x2. (Round ẞo to the nearest integer and B, to two decimal places and B₂ to three decimal places.) 9 = Type here to search AJ+ 40+ $ % & ( 2 3 4 5 6 7 8 9 W E R T A S D F G H K Z X C V B N M All 8:12 PM 73°F 4/12/2024 Alt Ctri Delet Backs

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
Question
Tab
(b) Use a = 0.01 to test for a significant relationship.
State the null and alternative hypotheses.
O Ho Bo=B1-B2=0
H: One or more of the parameters is not equal to zero.
ọ Ho: Bí = B2 = 0
H: One or more of the parameters is not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
Ha Bo B₁ =B2=0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value=
What is your conclusion?
O Do not reject H. We conclude that the relationship is significant.
O Reject Ho. We cannot conclude that the relationship is significant.
O Reject Ho. We conclude that the relationship is significant.
O Do not reject Ho. We cannot conclude that the relationship is significant.
(c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)
vehicles per hour
Type here to search
0
#
$
%
2
3
4
5
6
W
E
R
T
A
S
D
SLK
FR
N
22
Alt
27
8
9
G
H
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C
V
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0
73°F
40
. V
All
Ctri
Transcribed Image Text:Tab (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Ho Bo=B1-B2=0 H: One or more of the parameters is not equal to zero. ọ Ho: Bí = B2 = 0 H: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. O Ho: One or more of the parameters is not equal to zero. Ha Bo B₁ =B2=0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= What is your conclusion? O Do not reject H. We conclude that the relationship is significant. O Reject Ho. We cannot conclude that the relationship is significant. O Reject Ho. We conclude that the relationship is significant. O Do not reject Ho. We cannot conclude that the relationship is significant. (c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.) vehicles per hour Type here to search 0 # $ % 2 3 4 5 6 W E R T A S D SLK FR N 22 Alt 27 8 9 G H K X C V B N M 0 73°F 40 . V All Ctri
D
A statistical program is recommended.
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
where
y= B₁ + B₁x+
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 Vehicle Speed
(y)
(x)
1,254
35
1,330
40
1,225
30
1,334
45
1,348
50
1,123
25
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.
+
(a) Develop an estimated regression equation for the data of the form ŷ = Bo+ B₁x + B₂x2. (Round ẞo to the nearest integer and B, to two decimal places and B₂ to three decimal
places.)
9 =
Type here to search
AJ+
40+
$
%
&
(
2
3
4
5
6
7
8
9
W
E
R
T
A
S
D
F
G
H
K
Z
X
C
V
B
N
M
All
8:12 PM
73°F
4/12/2024
Alt
Ctri
Delet
Backs
Transcribed Image Text:D A statistical program is recommended. A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: where y= B₁ + B₁x+ 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 Vehicle Speed (y) (x) 1,254 35 1,330 40 1,225 30 1,334 45 1,348 50 1,123 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. + (a) Develop an estimated regression equation for the data of the form ŷ = Bo+ B₁x + B₂x2. (Round ẞo to the nearest integer and B, to two decimal places and B₂ to three decimal places.) 9 = Type here to search AJ+ 40+ $ % & ( 2 3 4 5 6 7 8 9 W E R T A S D F G H K Z X C V B N M All 8:12 PM 73°F 4/12/2024 Alt Ctri Delet Backs
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