(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.) (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Hg: bo = b, = b, = 0 H: One or more of the parameters is not equal to zero. O Ha: One or more of the parameters is not equal to zero. H: b, - b, - 0 O Ho: One or more of the parameters is not equal to zero. H,: bo = b, = b, = 0 O Ho: b, - b2 = 0 H: One or more of the parameters is not equal to zero. 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 Reject H. We cannot conclude that the relationship is significant. O Do not reject Ho: We cannot conclude that the relationship is significant. O Reject H. We conclude that the relationship is significant. O Do not reject H. We 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
(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.) (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Hg: bo = b, = b, = 0 H: One or more of the parameters is not equal to zero. O Ha: One or more of the parameters is not equal to zero. H: b, - b, - 0 O Ho: One or more of the parameters is not equal to zero. H,: bo = b, = b, = 0 O Ho: b, - b2 = 0 H: One or more of the parameters is not equal to zero. 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 Reject H. We cannot conclude that the relationship is significant. O Do not reject Ho: We cannot conclude that the relationship is significant. O Reject H. We conclude that the relationship is significant. O Do not reject H. We 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
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...
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Transcribed Image Text:(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.)
(b) Use a = 0.01 to test for a significant relationship.
State the null and alternative hypotheses.
O Ho: bo = b, = b2 = 0
H: One or more of the parameters is not equal to zero.
O Hn: One or more of the parameters is not equal to zero.
H: b, = b, = 0
O H: One or more of the parameters is not equal to zero.
H: bo = b, = b2 = 0
O Ho: b, = b, = 0
H: One or more of the parameters is not equal to zero.
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 Reject H.. We cannot conclude that the relationship is significant.
O Do not reject H.. We cannot conclude that the relationship is significant.
O Reject H.. We conclude that the relationship is significant.
O Do not reject H.. We 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
Transcribed Image Text:A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
y = B, + B,x + E
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)
1,257
35
1,329
40
1,227
30
1,335
45
1,351
50
1,123
25
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.
ý = bo + b,x + b,x?
(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x2. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.)
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