## (solution) Researchers developed a safety performance function (SPF), which

Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of roadway, they fit the model E(y)=?0+?1x1+?2x2, where of crashes per three years, length (miles), and annual daily traffic (number of vehicles) = AADT.

Interstate Highways

 Variable Parameter Estimate Standard Error t-value Intercept 1.87602 0.59586 3.74 Length (x1) 0.10378 0.03675 3.35 AADT  (x2) 0.00014 0.00004 6.54

Non-Interstate Highways

 Variable Parameter Estimate Standard Error t-value Intercept 1.23827 0.25382 3.81982 Length (x1) 0.56732 0.02435 3.08063 AADT  (x2) 0.00051 0.00013 6.12662

c. Refer to (.87602 + 0.10378x1 + 0.00014x2) Find a 98% confidence interval for ?1.

(          ,          )

d. Refer to (.87602 + 0.10378x1 + 0.00014x2) Find a 98% confidence interval for ?2.

(          ,          )

e. Give the least squares prediction equation for the interstate non-highway model.

Y= (       ) + (        )x1 + (       )x2

*Find a 98% confidence interval for ?1.

(          ,         )

*Find a 98% confidence interval for ?2.

(         ,         )

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This question was answered on: Jan 30, 2021

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