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BENG 186B Homework 1 Solutions
1.
Define the following terms with one sentence each
(12 points total)
:

Accuracy (3 points):
Accuracy describes how close a measurement is to its true value.

Precision (3 points):
Precision is a measure of how close, or repeatable, multiple
measurements are under the same conditions.

Resolution (3 points):
Resolution is the smallest incremental quantity that can be measured
with certainty.

Static sensitivity (3 points):
Static sensitivity is the ratio of incremental output to
incremental input from a static calibration.
2.
Accuracy and precision between 2 points in space
(12 points total)
:
Given:

Actual locations: (0,0,0) and (1,1,1) mm

Measurements for first point: (0.2,0.3,0.1), (0.2,0.2,0.1), (0.1,0.1,0.1), and (0.3,0.2,0.1)

Measurements for second point: (1.2,1.1,0.8), (1.3,0.9,1.1), (1.1,0.7,1.4), and (1.3,0.8,0.7)
Find:

A single numerical value for the accuracy of all the length measurements
(5 points for
calculations, 1 point for giving 1 number for accuracy)

Explanation of how you are defining the accuracy
(2 points)

The implied precision of the measured coordinate values
(2 points)

Description of precision of distance measurement based on coordinate information given
(2
points)
There are several different ways to calculate the accuracy for the length measurements. The method
shown below compares the average of the length measurements to the true measurements to obtain
the accuracy.
True length =
√
[(10)
2
+ (10)
2
+ (10)
2
] =
√
3
Length 1 =
√
[(1.20.2)
2
+ (1.10.3)
2
+ (0.8+0.1)
2
] =
√
2.45
Length 2 =
√
[(1.30.2)
2
+ (0.90.2)
2
+ (1.10.1)
2
] =
√
2.7
Length 3 =
√
[(1.10.1)
2
+ (0.7+0.1)
2
+ (1.4+0.1)
2
] =
√
3.89
Length 4 =
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 Winter '08
 PeterChen

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