r > linear relationship
aX k
y
-
:
Variance (2)-
> show spread out of data r =
1 perfect linear
mean - j =
ax -
k ~: -
1 perfect negative
3(X-X ja -(*)
- ?
Var :
or Var : Ex S . D +
o(y)
=
aw(X) r= 0 no correlation
n M a r'(X)
variance +G
(y) effect by
coding
=
* r not
standard deviation (5) Interpolation >
-
within data
Cumulative F(X X)
probs > of
=
Extrapolation out
-
range
>
-
S . D :
/Variance Var(x) = E(x2) -
(t(x))2 (add up probs)
ax + b
y
=
Discrete Uniform Distribution equal probs
Quartile- E(y) E(ax b)
=
+ >
-
~ whole number
=
at(X) + b
not whole
Xy
+
var(y) = var(ax + b)
↑ round var(x) Venn
a
diagram
=
up
area of bar
Discrete data Continous data >
- ·
Additional rule
=D F
leaf·
=
·
stem and Histogram CW B
A
·
Box plot ↳ P (AUB) =
P(A) + P(B) -
P(A1B)
1 IFD .
'c w. ·
Given P(BIA) >
-
P(BNA)
mean
= S D
. P(A)
Symmetrical Positive skew Negative skew
I I
·
Multiplication PCAMB) =
P(A)P(BIA)
Histrogram
-M7 7777 T ·
Mutually exclusive
A
- P(ANB) =
0
Box-plot
I 1 -
+ 1
P(B)
+
↑ (AUB) =
P(A) +
Quartiles Q2-Q1 =
Q3-Q2 Q3-Q2
Q2Q , Q-Q Q2Q , > ·
independent
P (A (B) =
P(A)P(B)
M,M ,
M Mode :
Median :
Mean Mode <Medium <Mean Mode >
Median > Mean P(BIA) :
P(B)
P(A(B) =
P(A)
3) (mean-median) =
O +
positive -
negative
S D . .
aX k
y
-
:
Variance (2)-
> show spread out of data r =
1 perfect linear
mean - j =
ax -
k ~: -
1 perfect negative
3(X-X ja -(*)
- ?
Var :
or Var : Ex S . D +
o(y)
=
aw(X) r= 0 no correlation
n M a r'(X)
variance +G
(y) effect by
coding
=
* r not
standard deviation (5) Interpolation >
-
within data
Cumulative F(X X)
probs > of
=
Extrapolation out
-
range
>
-
S . D :
/Variance Var(x) = E(x2) -
(t(x))2 (add up probs)
ax + b
y
=
Discrete Uniform Distribution equal probs
Quartile- E(y) E(ax b)
=
+ >
-
~ whole number
=
at(X) + b
not whole
Xy
+
var(y) = var(ax + b)
↑ round var(x) Venn
a
diagram
=
up
area of bar
Discrete data Continous data >
- ·
Additional rule
=D F
leaf·
=
·
stem and Histogram CW B
A
·
Box plot ↳ P (AUB) =
P(A) + P(B) -
P(A1B)
1 IFD .
'c w. ·
Given P(BIA) >
-
P(BNA)
mean
= S D
. P(A)
Symmetrical Positive skew Negative skew
I I
·
Multiplication PCAMB) =
P(A)P(BIA)
Histrogram
-M7 7777 T ·
Mutually exclusive
A
- P(ANB) =
0
Box-plot
I 1 -
+ 1
P(B)
+
↑ (AUB) =
P(A) +
Quartiles Q2-Q1 =
Q3-Q2 Q3-Q2
Q2Q , Q-Q Q2Q , > ·
independent
P (A (B) =
P(A)P(B)
M,M ,
M Mode :
Median :
Mean Mode <Medium <Mean Mode >
Median > Mean P(BIA) :
P(B)
P(A(B) =
P(A)
3) (mean-median) =
O +
positive -
negative
S D . .
