Kerala PSC Previous Years Question Paper & Answer
Page:18
Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Statistician' And exam conducted in the year 2023. And Question paper code was '021/2023/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was ''. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
a where Syy = XY; (X; -X)
5
B:-
0:-23
5೧ 5520-33
೧೫೫% ere Syx == (X;— X)
Correct Answer:- Option-A
Question84:-Consider a multiple linear regression model Y = XB + ¢ with hat matrix
H = (hy). The variance of ; residual is
At-o2
Bi-c2 ha
Ci-o2 (1 — hu)
0:-(1 - ^}
Correct Answer:- Option-C
Question85:-Consider a multiple linear regression model Y= XB + <«, c's are
uncorrelated with mean zero and variance ०2 where the regression matrix X is
1 0
2 -1
1 2
and 8’ = (4,4,). Find variance of B,
^: -602
©2
8:-6.
(:-5०२
o
D:- 5)
Correct Answer:- Option-D
Question86:-Which of the following is/are polynomial regression models ?
(1) ४८४8 + 8. + €
ता) ۷۶۵۰+ رق + BX + BAP + ByaX2 + By, XiX2 + ल
(iii) #= 00 + 0201 + 2१2 + <
A:-Only (i)
B:-Only (i and ii)
C:-All of the above (i, ii and iii)
D:-None of the above
Correct Answer:- Option-B