Agriculture. Table 4 shows the yield (in bushels per acre) and the total production (in millions of bushels) for com in the United States for selected years since 1950 . Let x represent years since 1900 . Find a logarithmic regression model y = a + b ln x for the yield. Estimate (to the nearest bushel per acre) the yield in 2024 .
Agriculture. Table 4 shows the yield (in bushels per acre) and the total production (in millions of bushels) for com in the United States for selected years since 1950 . Let x represent years since 1900 . Find a logarithmic regression model y = a + b ln x for the yield. Estimate (to the nearest bushel per acre) the yield in 2024 .
Solution Summary: The author calculates the logarithmic regression model y=a+bmathrmlnx for the table showing the yield (in bushels per acre).
Agriculture. Table
4
shows the yield (in bushels per acre) and the total production (in millions of bushels) for com in the United States for selected years since
1950
. Let
x
represent years since
1900
. Find a logarithmic regression model
y
=
a
+
b
ln
x
for the yield. Estimate (to the nearest bushel per acre) the yield in
2024
.
12:25 AM Sun Dec 22
uestion 6- Week 8: QuX
Assume that a company X +
→ C
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Week 8: Quiz i
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
is closest to:
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided.
00:33:45
Multiple Choice
О
$6,984.
$11,859.
$22,919.
○ $9,469,
Mc
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Hill
2
100-
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7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 2 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Elementary Statistics: Picturing the World (7th Edition)
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