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Regression with Sum of Squares SSE, SSR, SST
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SSE (purple) is the sum of squared Errors, the difference between the observations and predictions
SSE (purple) is the sum of squared Errors, the difference between the observations and predictions
Hide this folder from students.
12
SSR (red) is the sum of squares due to Regression, the difference between predictions and average
SSR (red) is the sum of squares due to Regression, the difference between predictions and average
Hide this folder from students.
16
SST (green) is the sum of squares Total, the difference between observations and average
SST (green) is the sum of squares Total, the difference between observations and average
Hide this folder from students.
20
Expression 25: "x" Subscript, "s" "p" "a" "c" "e" "b" "e" "t" "w" "e" "e" "n" "b" "a" "r" "s" , Baseline equals 0.1
x
s
p
a
c
e
b
e
t
w
e
e
n
b
a
r
s
=
0
.
1
0
0
1
1
25
26
powered by
powered by
left parenthesis, negative 0.8 1 , 3.6 , right parenthesis
−
0
.
8
1
,
3
.
6
left parenthesis, 1.9 6 , 4.7 1 , right parenthesis
1
.
9
6
,
4
.
7
1
left parenthesis, 0.8 9 , 2.7 7 , right parenthesis
0
.
8
9
,
2
.
7
7
left parenthesis, 3.6 6 , 6.0 9 , right parenthesis
3
.
6
6
,
6
.
0
9
left parenthesis, 4.3 , 8.3 , right parenthesis
4
.
3
,
8
.
3
left parenthesis, 6.2 5 , 9.4 4 , right parenthesis
6
.
2
5
,
9
.
4
4
y̅ = 5.8183333
ŷ = 0.96850204·x + 3.195307
SSE: square and sum these
SSR: square and sum these
SST: square and sum these
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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