8/18/2019 Stat 1 Final Paper
1/2
Nepathya CollegeFinal Internal Exam
2072Bachelor Level/First Semester Full ar!s" #0Stat$%0& 'ass
ar!s" 2(Statistics I )ime" * +ours
Candidates are required to give thei r answers in their own
words as for as practicable.All notations have the usual
meanings.
Group A Attempt two questions (2x10= 20)
1. Suppose you are given following information with n=5.
Multiple regression model^
Y = 7.34+0.07 X
1 0.5! X
2
"otal variation = # (Y − Ý )2
=$0
%&plained variation =# (^
Y − Ý )2 = $.4'
a( %stimate the value of ) when X
1 =50 and X
2 = 4
*( al,ulate standard error of the estimate and interpret the
result.,( al,ulate the ,oeffi,ient of multiple determination and
interpret it.d( "est the signifi,an,e of regression ,oeffi,ients of
the regression modele( "est overall signifi,an,e of regression
model.
$. "he following ta*le shows sample retail pri,e of three *rands
of pen,ils. -se the rus/alallis test to determine if there is any
differen,e *etween the retails pri,es of the *rands
throughout the ,ountry. -se 0.05 level of signifi,an,e.2rand $5
$0 $$ $3 152rand 2 1 $3 $$ $! $12rand $7 $$ $ $! $5
3. is,uss 6riedman s two way analysis of varian,e. n
investigator wants to study the s,ore of three groups under five
,onditions8 ea,h group ,ontains five mat,hed su*9e,ts one
*eingassigned to ea,h of the five ,onditions. :et the s,ores
o*tained are given in the followingta*le.
;roup onditions<
