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Mathematics
Mathematics
Problem
The four data points
(
1
,
2
)
(1,2)
(
1
,
2
)
,
(
2
,
1
)
(2,1)
(
2
,
1
)
,
(
3
,
4
)
(3,4)
(
3
,
4
)
, and
(
4
,
3
)
(4,3)
(
4
,
3
)
are to be approximated by the line
y
=
m
x
+
b
y=mx+b
y
=
m
x
+
b
that minimizes the total squared vertical error. Which ordered pair
(
m
,
b
)
(m,b)
(
m
,
b
)
gives this best-fit line? a)
(
1
,
3
5
)
\left(1,\,\dfrac{3}{5}\right)
(
1
,
5
3
)
b)
(
7
5
,
−
1
)
\left(\dfrac{7}{5},\,-1\right)
(
5
7
,
−
1
)
c)
(
3
5
,
1
)
\left(\dfrac{3}{5},\,1\right)
(
5
3
,
1
)
d)
(
3
5
,
5
2
)
\left(\dfrac{3}{5},\,\dfrac{5}{2}\right)
(
5
3
,
2
5
)
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