-
8/20/2019 3.RegressionwerTopics
1/10
-
8/20/2019 3.RegressionwerTopics
2/10
-
8/20/2019 3.RegressionwerTopics
3/10
Minita *)tp)tMinita *)tp)tRegression Analysis: Fat gain versus
NEA
The regression equation is
FatGain = ****** + ******(NEA)
Preditor !oe" #E !oe" T P
!onstant $%&'& '%$'$ %& '%'''
NEA '%''$& '%''', %' '%'''
#='%,$-.&$ R#q = '%/
R
#q(ad0)=&,%.
/
Regression e)ations aren/t al0ays as easy to spot as they areon
yo)r 1'$2. Can yo) 4nd the slope and intercept ao!e5
Regression Analysis: Fat gain versus NEA
The regression equation is
FatGain = ****** + ******(NEA)
Preditor !oe" #E !oe" T P
!onstant $%&'& '%$'$ %& '%'''
NEA '%''$& '%''', %' '%'''
#='%,$-.&$ R#q = '%/
R
#q(ad0)=&,%.
/
Regression Analysis: Fat gain versus NEA
The regression equation is
FatGain = ****** + ******(NEA)
Preditor !oe" #E !oe" T P
!onstant $%&'& '%$'$ %& '%'''
NEA '%''$& '%''', %' '%'''
#='%,$-.&$ R#q = '%/R#q(ad0)=&,%.
/
-
8/20/2019 3.RegressionwerTopics
4/10
*)t ers6'n )ent a)t ers n )ent a(oints(oints#oes the age o8 a
child/s 4rst 0ord
predict his6her mental aility5 Considerthe 8ollo0ing data on
9age o8 4rst 0ord"esell +dapti!e Score; 8or
-
8/20/2019 3.RegressionwerTopics
5/10
xp ana ory !s.xp ana ory !s.ResponseResponse 1he
#istinction Bet0een Explanatory and Response
!ariales is essential in regression.
S0itching the distinction res)lts in a di>erentleast$s)ares
regression line.
#$%%le 12 data Scatter Plot #$%%le 12 data Scatter Plot
@ote: 1he correlation !al)e" r" does @*1 dependon the
distinction et0een Explanatory and
-
8/20/2019 3.RegressionwerTopics
6/10
CorrelationCorrelation 1he correlation" r" descries
the strength o8 the straight$linerelationship et0een x and
y.
Ex: 1here is a strong"positi!e" ?'@E+R relationship
et0een A o8 eers andB+C.
1here is a 0eak" positi!e"
linear relationshipet0een x and y.o0e!er" there is astrong
nonlinear
relationship.
(eer and (lood Alcohol Scatter Plot
)ollection 1 Scatter Plot
-
8/20/2019 3.RegressionwerTopics
7/10
oe c en ooe c en o#etermination#etermination 1he coecient
o8 determination" r
-
8/20/2019 3.RegressionwerTopics
8/10
Ca)tionsCa)tions
Correlation and Regression are @*1 RES'S1+@1to o)tliers
and 'n7)ential (oints
Correlations ased on ,a!eraged data- tend toe higher than
correlations ased on all ra0data.
Extrapolating eyond the oser!ed data canres)lt in
predictions that are )nreliale.
-
8/20/2019 3.RegressionwerTopics
9/10
orre a on !s.orre a on !s.Ca)sationCa)sationConsider the
8ollo0ing historical data:
Year Ministers !"
1
2
3
4
5
6
7
8
9
10
11
12
1"60 63 "3!6
1"65 4" 6406
1"!0 53 !005
1"!5 64 "4"6
1""0 !2 55
1""5 "0 10643
1"0 "5 11265
1"5 !6 100!1
100 "0 1054!
105 "3 1100"
110 105 13""5
115 140 1"55
)ollection 1 Scatter Plot)ollection 1 Scatter Plot
1here is an almost per8ectlinear relationship et0eenx and
y. 9r%G.HHHHHD;
x % A Methodist Ministers in @e0 England
y % A o8 Barrels o8 R)m 'mported to Boston
C*RRE?+1'*@ #*ES @*1 'M(?Y
-
8/20/2019 3.RegressionwerTopics
10/10
S)mmaryS)mmary
The Endangered Manatee Scatter Plot
The Endangered Manatee Scatter Plot
The Endangered Manatee Scatter Plot
