Loading...
Linear Regression is Orthogonal Projection
Save Copy
Desmos Logo
Log In
Sign Up
`\mathbf{y}_1` "Y" Subscript, 1 , Baseline equals left parenthesis, "a" , "c" , right parenthesis
Y
1
=
a
,
c
Label:
equals
=
left parenthesis, 2 , 3 , right parenthesis
2
,
3
9
`\mathbf{y}_2` "Y" Subscript, 2 , Baseline equals left parenthesis, "b" , "d" , right parenthesis
Y
2
=
b
,
d
Label:
equals
=
left parenthesis, 1 , 3 , right parenthesis
1
,
3
10
Expression 11: "y" equals "m" times "x"
y
=
m
·
x
11
Hidden Label: left bracket, "o" , "Y" Subscript, 1 , Baseline , right bracket
o
,
Y
1
Label
equals
=
left parenthesis, 0 , 0 , right parenthesis
0
,
0
left parenthesis, 2 , 3 , right parenthesis
2
,
3
12
Hidden Label: left bracket, "o" , "Y" Subscript, 2 , Baseline , right bracket
o
,
Y
2
Label
equals
=
left parenthesis, 0 , 0 , right parenthesis
0
,
0
left parenthesis, 1 , 3 , right parenthesis
1
,
3
13
Hidden Label: left bracket, "m" times "Y" Subscript, 1 , Baseline , "Y" Subscript, 2 , Baseline , right bracket
m
·
Y
1
,
Y
2
Label
equals
=
left parenthesis, 1.9 1 6 , 2.8 7 4 , right parenthesis
1
.
9
1
6
,
2
.
8
7
4
left parenthesis, 1 , 3 , right parenthesis
1
,
3
14
Hidden Label: "m" times "Y" Subscript, 1 , Baseline
m
·
Y
1
Label
equals
=
left parenthesis, 1.9 1 5 8 , 2.8 7 3 7 , right parenthesis
1
.
9
1
5
8
,
2
.
8
7
3
7
15
Expression 16: "f" left parenthesis, "s" , right parenthesis equals distance left parenthesis, "s" times "Y" Subscript, 1 , Baseline , "Y" Subscript, 2 , Baseline , right parenthesis
f
s
=
d
i
s
t
a
n
c
e
s
·
Y
1
,
Y
2
16
Label: left parenthesis, "m" , "f" left parenthesis, "m" , right parenthesis , right parenthesis
m
,
f
m
Label:
equals
=
left parenthesis, 0.9 5 7 9 , 0.9 2 4 4 6 8 1 3 , right parenthesis
0
.
9
5
7
9
,
0
.
9
2
4
4
6
8
1
3
17
Expression 18: "f" left parenthesis, "m" , right parenthesis
f
m
equals
=
0.9 2 4 4 6 8 1 3 3 5 7 7
0
.
9
2
4
4
6
8
1
3
3
5
7
7
18
19
powered by
powered by
StartBold Font, "x" EndBold Font Subscript, 1 , Baseline
x
1
StartBold Font, "x" EndBold Font Subscript, 2 , Baseline
x
2
StartBold Font, "y" EndBold Font Subscript, 1 , Baseline
y
1
StartBold Font, "y" EndBold Font Subscript, 2 , Baseline
y
2
left parenthesis, 0.9 5 7 9 , 0.9 2 4 4 7 , right parenthesis
0
.
9
5
7
9
,
0
.
9
2
4
4
7
"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
+
Log In
or
Sign Up
to save your graphs!
New Blank Graph
Examples
Lines: Slope Intercept Form
example
Lines: Point Slope Form
example
Lines: Two Point Form
example
Parabolas: Standard Form
example
Parabolas: Vertex Form
example
Parabolas: Standard Form + Tangent
example
Trigonometry: Period and Amplitude
example
Trigonometry: Phase
example
Trigonometry: Wave Interference
example
Trigonometry: Unit Circle
example
Conic Sections: Circle
example
Conic Sections: Parabola and Focus
example
Conic Sections: Ellipse with Foci
example
Conic Sections: Hyperbola
example
Polar: Rose
example
Polar: Logarithmic Spiral
example
Polar: Limacon
example
Polar: Conic Sections
example
Parametric: Introduction
example
Parametric: Cycloid
example
Transformations: Translating a Function
example
Transformations: Scaling a Function
example
Transformations: Inverse of a Function
example
Statistics: Linear Regression
example
Statistics: Anscombe's Quartet
example
Statistics: 4th Order Polynomial
example
Lists: Family of sin Curves
example
Lists: Curve Stitching
example
Lists: Plotting a List of Points
example
Calculus: Derivatives
example
Calculus: Secant Line
example
Calculus: Tangent Line
example
Calculus: Taylor Expansion of sin(x)
example
Calculus: Integrals
example
Calculus: Integral with adjustable bounds
example
Calculus: Fundamental Theorem of Calculus
example
Terms of Service
|
Privacy Policy
