George Mason University
School of Management
OM 210:
STATISTICAL ANALYSIS FOR MANAGEMENT
Prof. Harvey Singer
TEST #3:
Inference and Regression (SAMPLE)
Simple Linear Regression Problem
The sampled data listed below gives data for the total annual rainfall in inches and
the yield of wheat in bushels per acre for each of the past eight consecutive years.
Rainfall
(inches/year)
Wheat Yield
(bushels/acre)
12.9
62.5
7.2
28.7
11.3
52.2
19.6
80.6
8.8
41.6
10.3
44.5
15.9
73.3
13.1
54.4
a.
Explicitly define the independent variable
x
.
Be as specific as
necessary.
b.
Explicitly define the dependent variable
y
.
Be as specific as necessary.
c.
By simple regression, state the equation of the straight line which best
fits all the data so that wheat yield, in bushels per acre, can be predicted from
the annual amount of rainfall, in total inches per year.
(You must show your
calculations for part c to receive credit.)
d.
On average, by how much is the wheat yield expected to change for
each additional inch of rainfall?
e.
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 Spring '08
 SINGER
 Regression Analysis, wheat yield, Harvey A. Singer, Prof. Harvey Singer

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