A department is studying the relationship between traffic flow and speed. They hypothesized a linear regression model and collected data from six highways during rush hour. Statisticians recommended using a curvilinear estimated regression equation to further analyze the problem. They developed an estimated regression equation for the data and used a significance test to determine if there is a significant relationship between the variables.

1. A Wlowinar department is studying the relationchia between tretie fow and speed. The
following model has been hypothesized: y=f0+1x+x where y= traffic how in vehicles per hour x
= vehicie resed in mlies per hour The following data were colected during rush hour for six
hlgtways lesding eut of the city. =n+b2x+b2x2
working funther with this problem, statidticlans wagrented the use of the following curvilineer
estimated regression equation. y=b0+b1x+b22 (4) Develop an estimated regrewion equation for
the data of the form =b0+b1x+b2x2. (Round b0 to the neareat integer and b1 to two decimal
places and b2 to trre deamai places.) 9= (b) Une a = 0.01 to tent for a significant relaticesip state
the null and ahemative moothest Mot one or mare of the parmotetes is not equal to zerb.
H1+b1=t2=0Hc=bb=b1=b2=0 H, One or more of the parameters is not equal to rere.
Ha:b1=b2=0 Hi. One or more of the penmeten is not equal to sere. 14. one or thore of the
perameters is not esual to zeco H4H4=s1=b1=0 Fhat the avilue. (oound pour armwer ts tores
decimsi paced Atwake = Whet is vour tindisent
(b) Use a =0.01 to test for a significant relationship. State the null and alternative hypotheses.
H0: One or more of the parameters is not equal to zero. Ha:b1=b2=0H0:bG=b1=b2=0H0: One or
more of the parameters is not equal to zero. H0:b1=b2=0H3 : One or more of the parameters is
not equal to zero. H0 : One or more of the parameters is not equal to tero. Ha:b0=b1=b2=0 Find
the value of the test statistio. (Round your answer to two decimal plsces.) Find the p-value.
(Round your answer to three decimol places.) p-value = What is your condision? Reject H0. We
cannot conclude that the relationship is significant: Do not reject H0. We candude that the
relationship is significant. Do not reject H5. We cannot conclude that the relationship is
significant. Relect H We cancluse that the relationship is significant. vehldes per hour