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Mathematics
Mathematics
Problem
Consider the model
y
=
a
x
y=\dfrac{a}{x}
y
=
x
a
for the data
(
1
,
3
)
(1,3)
(
1
,
3
)
,
(
2
,
1.8
)
(2,1.8)
(
2
,
1.8
)
, and
(
3
,
1.2
)
(3,1.2)
(
3
,
1.2
)
. Which value of
a
a
a
minimizes
S
(
a
)
=
∑
i
=
1
3
(
y
i
−
a
x
i
)
2
S(a)=\sum_{i=1}^3\bigl(y_i-\tfrac{a}{x_i}\bigr)^2
S
(
a
)
=
∑
i
=
1
3
(
y
i
−
x
i
a
)
2
? a)
3.27
3.27
3.27
b)
3.40
3.40
3.40
c)
3.16
3.16
3.16
d)
3.00
3.00
3.00
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