The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2029. Year 1950 1960 1970 1980 1990 2000 2010 X 50 60 70 80 90 100 110 Yield 34 50 87 100 118 145 147

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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K
The table shows the yield (in bushels per acre) and the total production (in millions of
bushels) for corn in a country for selected years since 1950. Let x represent years
since 1900. Find a logarithmic regression model (y = a + b In x) for the yield. Estimate
the yield in 2029.
The regression model is y=-555.6+(149.2)Inx.
(Round to one decimal place as needed.)
> Try again.
Both of your answers are incorrect. To find the logarithmic regression equation,
use a graphing calculator. Be sure to use logarithmic regression and not linear
regression.
OK
X
Year
1950
1960
1970
X
50
60
70
1980
1990
2000 100
2010
110
80
90
Yield
34
50
87
100
118
145
147
Transcribed Image Text:t K The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2029. The regression model is y=-555.6+(149.2)Inx. (Round to one decimal place as needed.) > Try again. Both of your answers are incorrect. To find the logarithmic regression equation, use a graphing calculator. Be sure to use logarithmic regression and not linear regression. OK X Year 1950 1960 1970 X 50 60 70 1980 1990 2000 100 2010 110 80 90 Yield 34 50 87 100 118 145 147
The table shows the yield (in bushels per acre) and the total production (in millions of
bushels) for corn in a country for selected years since 1950. Let x represent years
since 1900. Find a logarithmic regression model (y = a + b In x) for the yield. Estimate
the yield in 2029.
The regression model is y =
+
In x.
(Round to one decimal place as needed.)
Year
1950
1960
1970
1980
1990
2000
2010
X
50
60
70
80
90
100
110
Yield
34
50
87
100
118
145
147
Transcribed Image Text:The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y = a + b In x) for the yield. Estimate the yield in 2029. The regression model is y = + In x. (Round to one decimal place as needed.) Year 1950 1960 1970 1980 1990 2000 2010 X 50 60 70 80 90 100 110 Yield 34 50 87 100 118 145 147
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