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Linear least-squares projection
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Mathematics
Area of mathematics
Probability and statistics
Created
2026-09-24
Updated
2026-09-24
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The best affine predictor has
slope
covariance
divided by predictor
variance
and intercept chosen to match
means
.
Table of contents
Schur complement covariance
Linear least-squares projection
Schur complement covariance
0
0
0
Linear least-squares projection
The residual
variance
after projection onto one factor is
Var
(
Y
)
−
Cov
(
X
,
Y
)
2
/
Var
(
X
)
,
a
covariance
Schur complement
.
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Probability and statistics
Area of mathematics
Mathematics
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Least-squares projection of filament deformation velocity
Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 43
/
5
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2013
/
iii
/
Paper 28
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 31
/
4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 34
/
4
/
Solution
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