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(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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