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Grade 31 Statistics and Probability
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Regression and Correlation -Inferences Concerning Regression Parameters
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Question: The formula for the standard error of the estimate for the predictions made with a regression line is
A ) I
B ) II
C ) III
D ) IV
Steps to derive
1
The standard error of the estimate
S
est
, is the standard deviation of the observed
y
values about the predicted
y
′ values.
2
The formula of the standard error of estimate is,
S
est
=
Σ
(
y
-
y
′
)
2
n
-
2
, where
y
= observed values,
y
′ = predicted values and
n
= number of datasets.
Hence the right answer is Option A
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