Least Squares Regression
AP Statistics · Flashcards · Application
AP STATISTICS · FLASHCARDS
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QUESTION
Find the slope of the regression line given
∑
(
x
i
−
x
ˉ
)
(
y
i
−
y
ˉ
)
=
10
\sum (x_i - \bar{x})(y_i - \bar{y}) = 10
∑
(
x
i
−
x
ˉ
)
(
y
i
−
y
ˉ
)
=
10
and
∑
(
x
i
−
x
ˉ
)
2
=
5
\sum (x_i - \bar{x})^2 = 5
∑
(
x
i
−
x
ˉ
)
2
=
5
.
QUESTION
Find the intercept
a
a
a
given
y
ˉ
=
10
\bar{y} = 10
y
ˉ
=
10
,
b
=
2
b = 2
b
=
2
, and
x
ˉ
=
3
\bar{x} = 3
x
ˉ
=
3
.
QUESTION
Find the slope of the regression line given
∑
(
x
i
−
x
ˉ
)
(
y
i
−
y
ˉ
)
=
10
\sum (x_i - \bar{x})(y_i - \bar{y}) = 10
∑
(
x
i
−
x
ˉ
)
(
y
i
−
y
ˉ
)
=
10
and
∑
(
x
i
−
x
ˉ
)
2
=
5
\sum (x_i - \bar{x})^2 = 5
∑
(
x
i
−
x
ˉ
)
2
=
5
.
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ANSWER
b
=
2
b = 2
b
=
2
. Using formula
b
=
10
5
=
2
b = \frac{10}{5} = 2
b
=
5
10
=
2
.
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