It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop the equation of a regression line to predict the average size of a farm (y) by the number of farms (x). Discuss the slope and y-intercept of the model.
It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop the equation of a regression line to predict the average size of a farm (y) by the number of farms (x). Discuss the slope and y-intercept of the model.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 2SGR
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It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The
following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop
the equation of a regression line to predict the average size of a farm (y) by the number of farms (x). Discuss the slope and y-intercept
of the model.
E
Year
1960
1965
1970
975
1980
1985
1990
1995
2000
2005
2010
2015
DII
C
Number of Farms
(millions)
F3
$
4
5.61
4.68
3.95
3.41
2.94
2.55
2.41
2.33
2.15
R
2.06
2.16
2.09
F
Q Search
F4
(Do not round the intermediate values. Round your answers to 2 decimal places.)
y =
+(
)x
V
Average Size (acres)
%
5
T
215
G
256
298
342
369
421
426
440
459
468
435
443
FS
^
6
B
49
Y
F6
H
H
&
7
U
N
F7
J
PrtScn
8
M
121
Home
(
69
K
F9
En
O
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