(Agriculture). Table 3 shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in the United States for selected years since 1950. (Use 4 decimal places in all answers.) Table 3: US Corn Production Year Yield (bushels per acre) Total Production (million bushels) 1950 1960 1970 1980 1990 2000 37.6 2,782 55.6 3,479 81.4 4,802 97.7 6,867 115.6 7,802 139.6 10,192 A. Let x represent years since 1900 and find the logarithmic model for the yield. Y(x) = B. What is the r2 value for the equation in part A? C. Let x represent years since 1900 and find the logarithmic model for the production. P(x) = D. What is the r2 value for the equation in part C?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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(Agriculture). Table 3 shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in the United States for selected years since 1950. (Use 4 decimal places in all answers.)
Table 3: US Corn Production
Year Yield (bushels per acre) Total Production (million bushels)
1950
1960
|1970
37.6
2,782
3,479
55.6
81.4
4,802
1980
1990
2000
97.7
6,867
115.6
7,802
139.6
10,192
A. Let x represent years since 1900 and find the logarithmic model for the yield.
Y(x) =
B. What is the r? value for the equation in part A?
r2 =
C. Let x represent years since 1900 and find the logarithmic model for the production.
P(x) =
D. What is the r2 value for the equation in part C?
r2 =
Transcribed Image Text:(Agriculture). Table 3 shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in the United States for selected years since 1950. (Use 4 decimal places in all answers.) Table 3: US Corn Production Year Yield (bushels per acre) Total Production (million bushels) 1950 1960 |1970 37.6 2,782 3,479 55.6 81.4 4,802 1980 1990 2000 97.7 6,867 115.6 7,802 139.6 10,192 A. Let x represent years since 1900 and find the logarithmic model for the yield. Y(x) = B. What is the r? value for the equation in part A? r2 = C. Let x represent years since 1900 and find the logarithmic model for the production. P(x) = D. What is the r2 value for the equation in part C? r2 =
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