In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = bo + bx + bx² (a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,. (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 Hn: One or more of the parameters is not equal to zero. Hi bo = b, - b2 = 0 O Ho: bị = b2 = o H: One or more of the parameters is not equal to zero. O Ho: bo = b1 = bz = 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, = b2 = o 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 Ho: We conclude that the relationship is significant. O Reject H. We cannot conclude that the relationship is significant. O Do not reject Ho. We conclude that the relationship is significant. O Do not reject H. 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
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = bo + bx + bx² (a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,. (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 Hn: One or more of the parameters is not equal to zero. Hi bo = b, - b2 = 0 O Ho: bị = b2 = o H: One or more of the parameters is not equal to zero. O Ho: bo = b1 = bz = 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, = b2 = o 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 Ho: We conclude that the relationship is significant. O Reject H. We cannot conclude that the relationship is significant. O Do not reject Ho. We conclude that the relationship is significant. O Do not reject H. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow
(y)
Vehicle Speed
(x)
1,255
35
1,327
40
1,226
30
1,335
45
1,350
50
1,125
25
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.
ý = bo + b,x + bạr2
(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 Hn: One or more of the parameters is not equal to zero.
Hai bo = b1 = b2 = 0
O Ho: bị = b2 = 0
H: One or more of the parameters is not equal to zero.
O Ho: bo = b1 = 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, = o
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 Hn. We conclude that the relationship is significant.
O Reject Hn. We cannot conclude that the relationship is significant.
O Do not 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
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