1) If the Pearson's correlation coefficient between two variables X and Y is foun
d to be negative1.3. This means
Question 1 options:
Correlation value is not possible
Strong negative correlation between variables X and Y
Strong positive correlation between variables X and Y
Weak negative correlation between variables X and Y
Weak positive correlation between variables X and Y
2) To test the hypothesis that population correlation coefficient is not zero, w
e collected a sample of size 15 and found the sample correlation coefficient is
0.25. What is the test value to test this hypothesis?
Question 2 options:
1.5
0.25
1
0.75
0.93
3) Correlation is calculated using 20 pair of sample data. Find the degrees of f
reedom to test the hypothesis about correlation.
Question 3 options:
19
25
18
21
20
4) Following table shows study hours per week and GPA of five students
Study hrs
2
5 7 4 8
GPA
1.7 3.2 3.8 3.5 4.0
Calculate the Pearson's correlation coefficient between Study hours and GPA of t
he students students.
Question 4 options:
0.62
0.59
0.89
0.79
0.99
5) Following table shows study hours per week and GPA of five students
Study hrs
2 5 7 4 8
GPA
1.7 3.2 3.8 3.5 4.0
Calculate the test value to test the claim that there is significant correlation
between Study hours and GPA of the students.
Question 5 options:
2.75
3.38
4.21
1.28
2.12
6) Following table shows study hours per week and GPA of five students
Study hrs
2 5 7 4 8
GPA
1.7 3.2 3.8 3.5 4.0
Calculate the p-value to test the claim that there is significant correlation be
tween Study hours and GPA of the students.
Question 6 options:
10% < p value < 20%
5% < p value < 10%
2% < p value < 5%
1% < p value < 2%
1% < p value < 2.5%
7) Following table shows study hours per week and GPA of five students
Study hrs
2 5 7 4 8
GPA
1.7 3.2 3.8 3.5 4.0
Calculate the p-value to test the claim that there is significant correlation be
tween Study hours and GPA of the students. If alpha is 5% what is your decision?
Question 7 options:
There is no significant correlation between two variables.
There is significant correlation between two variables.
Not enough information to make decision
8) Following table shows study hours per week and GPA of five students
Study hrs
2 5 7 4 8
GPA
1.7 3.2 3.8 3.5 4.0
Calculate the critical value to test the claim that there is significant correla
tion between Study hours and GPA of the students. Take alpha is 5%.
Question 8 options:
2.353
3.182
2.015
2.571
9) Use the following regression model for prediction:
Beta0hat = 5.45, Beta1hat =-0.182. Find dependent variable Yhat when X is 2.5
Note:
Beta0hat = Estimate of Y intercept
Beta1hat = Estimate of slope of the regression line
Question 9 options:
2.39
6.99
9.99
2.99
4.99
10) In simple linear regression model
Y = 0+ 1X +
what is ?
Qu stion 10 options:
Varianc of th mod l
R spons varial
Random
rror
Param t r to
stimat d
Pr dictor Varial
11) In simpl lin ar r gr ssion mod l
Y = 0+ 1X +
what is Y ?
Qu stion 11 options:
Pr dictor Varial
Param t r to
stimat d
Varianc of th mod l
Random
rror
R spons varial
12) Tal
low giv s th w ight of diamond and pric in dollars.
Which on is th r spons
varial ?
W ight Pric
0.3
510
0.4
1151
0.5
1343
0.5
1410
1.0
5669
0.7
2277
Qu stion 12 options:
Both W ight and Pric
W can not say which on from th giv n information
Pric
W ight
13) Tal
low giv s th w ight of diamond and pric in dollars.
Fit a simpl lin ar r gr ssion mod l to find what is th stimat of int rc pt p
aram t r ?(du to rounding rror go to th clos st answ r)
W ight Pric
0.3
510
0.4
1151
0.5
1343
0.5
1410
1.0
5669
0.7
2277
Qu stion 13 options:
1278
7177
-7177
-2007
14) Tal
low giv s th w ight of diamond and pric in dollars.
Fit a simpl lin ar r gr ssion mod l to find what is th stimat of th slop
aram t r ?(du to rounding rror go to th clos st answ r)
W ight Pric
0.3
510
0.4
1151
0.5
1343
0.5
1410
1.0
5669
0.7
2277
Qu stion 14 options:
7177
-2007
1278
-7177
15) Tal
low giv s th w ight of diamond and pric in dollars.
Fit a simpl lin ar r gr ssion mod l and stimat th pric if th w ight of th
diamond is 1.5 carats ? (du to rounding rror go to th clos st answ r)
W ight
Pric
0.3
510
0.4
1151
0.5
1343
0.5
1410
1.0
5669
0.7
2277
Qu stion 15 options:
7177
8759
1278
2834
16) If pair of 10 os rvations show th corr lation co ffici nt 0.37. To t st t
h significanc of th population corr lation co ffici nt find t st valu
Qu stion 16 options:
2.56
1.32
1.13
2.90
3.10
17) Suppos th population corr lation co ffici nt tw n two varial s X and Y
is o.77 , covarianc of X and Y is 2.7 and standard d viation of X is 1.5. Fin
d th standard d viation of Y.
Qu stion 17 options:
3.12
5.46
1.42
2.34
0.92
18) Calculat corr lation tw
w
n X and Y from 6 pairs of os rvations If w kno
Sum of XY =20485
Sum of X= 247
Sum of Y= 486
Sum of X squar = 11409
Sum of Y squar = 40022
Qu stion 18 options:
0.19
0.71
0.23
0.95
0.53
19) Wh n t sting th hypoth sis aout param t rs of multipl lin ar r gr ssion
mod l
H0: B1=B2=....=Bk=0
H1: at l ast on Bi is not z ro.
w
us
Qu stion 19 options:
t t st
chi-squar t st
F t st
Z-t st
20) Which of th
following is not th assumption of a lin ar r gr ssion mod l?
Qu stion 20 options:
Error t rm is normally distriut d
Valu s of th r spons varial (Y) must
Error t rm has th sam varianc in
os rvation.
R spons varial
Errors ar
ind p nd nt
low giv s th systolic lood pr ssur m asur m nt in l ft an
Estimat th lood pr ssur
s 135 mm Hg.
Right Arm L ft Arm
102
175
101
169
94
182
79
146
79
144
Qu stion 21 options:
312.17
221.12
198.07
ach
(Y) and pr dictors (X) ar lin arly r lat d.
21) (Bonus) Tal
d right arm.
120.25
cat gorical
in l ft arm giv n that lood pr ssur
in right arm i
256.18
