ESI 6321
APPLIED PROBABILITY METHODS IN ENGINEERING
OEM 2009
January 13, 2008
INCLASS ASSIGNMENT
Problem 1:
Regression models were used to analyze the data from a study investigating the
relationship between roadway surface temperature in
°
F (
x
) and pavement deflection (
y
).
Summary quantities were
n=20
,
12.75
=
!
i
i
y
,
2
8.86
=
!
i
i
y
,
1,478
=
!
i
i
x
,
2
143,215.8
=
!
i
i
x
, and
1,083.67
=
!
i
i
i
x y
. Assume that the two variables are related
according to the simple linear regression model.
(a)
Calculate the least squares estimates of the slope and intercept.
(b)
Use the equation of the fitted line to predict what pavement deflection would be
observed when the surface temperature is 85
°
F.
(c)
What is the mean pavement deflection when the surface temperature is 90
°
F?
(d)
What change in mean pavement deflection would be expected for a 1
°
F change in
surface temperature?
(e)
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 Spring '07
 JosephGeunes
 Regression Analysis, 90 °F, 1 °C, 85 °F, 1 °F, pavement deflection

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