0
100
200
300
400
500
600
700
2
2.25
2.5
2.75
3
3.25
3.5
3.75
4
4.25
4.5
4.75
5
5.25
5.5
5.75
6
6.25
6.5
6.75
7
Number of bolts failing at this load
Bolt Failure Load, thousands of pounds
Distribution of Bolt Failure Loads
interest rate (+1)
ance between 7500 (included) and 25000? (+1)
ance greater than or equal to 25000? (+1)
.65 to interest rate (+1)
.3 to interest rate (+1)
nterest rate (+1)
path (+1)
join (+1)
L
L + Graphite
Pt + Graphite
Eutectic line
ENGR 12600 Exam II
October 27, 2008
RECORD ALL ANSWERS ON THE ANSWER SHEET
Problem #1
(16 points)
A mechanical engineering orders tests on a large number of bolts made
at a new facility to be able to certify the manufacturing process as sixsigma compliant. A
technician produces the following plot using Microsoft Excel’s Histogram feature. Answer the
following questions:
1.
Approximately how many bolts were tested?
a)
600
b)
2,500
c)
5,000
d)
7,500
2.
The value of the median can be
anywhere
in the range
a)
Between 4250 pounds and 4500 pounds
b)
Between 4500 pounds and 4750 pounds
c)
Between 4625 pounds and 4875 pounds
d)
Between 4750 pounds and 5000 pounds
3.
Estimate the standard deviation
a)
500 pounds
b)
1000 pounds
c)
1500 pounds
d)
2000 pounds
4.
MATLAB treats histogram bins differently from Excel. If we assigned bins in MATLAB
to guarantee we got exactly the same histogram, what bin value would we need to assign in
MATLAB (using the
hist
function) for the bin labeled “5” above using Excel?
4.875
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View Full DocumentENGR 12600 Exam II
October 27, 2008
RECORD ALL ANSWERS ON THE ANSWER SHEET
Problem #2
(20 points)
An agricultural engineer recorded the amount of nitrogen oxide (in parts
per billion) deposited in a field each year for a number of years. While performing a least squares
regression, the engineer looked up the two equations below and filled in appropriate numbers:
[Equation 1]
[Equation 2]
+
=
10a 5b 20
[Filled in Equation 1]
+
=
30a 10b 50
[Filled in Equation 2]
a)
Consider Equation 1 and its filled in form. In English and with no reference to “x” and “y”,
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 Fall '08
 Oakes
 Linear Regression, Regression Analysis, ANSWER SHEET Problem

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