Module 6 Test (solutions)
Use the scatter diagrams shown, labeled a through f to solve the problem.
ln which scatter diagram is r = 0.01?
1.
f=,o, %3*\
H, tf,
a- ,^[ w€"K
to I{t or Ftcn -{.:r :tk'lf
B s
Itnaar as*aafin7
6 6
4 4
IX3456x lx3456x
l3 oa t1
taol
IG a IO
I $
f s
4 !+
,|
2
t23456x I 2 3 4 5 S 7r'
I? l2
t0 lfi
I I
f 6
4 ,N
,l 2
I 3 3 4 5 6 ?E It3456x
a)e
b)d
c) f
d)c
, ldentify the correlation coefficient.
Which correlation coefficient best describes the relation depicted in the scatter-plot?
Lr"sg #n, & cc'vrc-LIln^.-
Cor$tuu** y:.a.s+'ur'<3 )'t6t') g\6ac--
t3,{ pi''nrt-s a^-L + 14- Us+ -fl
se#
lr,* . 5'A'- *a';5 A"fu
dtsottt e+ * n2A4'h"4-
lr<nA"'
a) -0.7
wL cat" 5\y +&r^4 &+PFcPri
b) -0.1 *o L ^ 7'1"- 6tr"-'2- r
c)0 nrSu;\'
t\e34hvt- cdY'fe'la'hc'"'-
d) 0.1
e) 0.7
Select the most appropriate response.
E-' Given the length of a human's femur, x, and the length of a human's humerus, y, would you expect a
positive correlation, a negative correlation, or no correlation?
a) negativecorrelation T wtul4 e:tVctt y /r'2"t tdu*l
rcbut" 6
6x
b) positivecorrelation Nntkt tccur lrvrlL ry t'.
c) no correlation
Determine the linear correlation coefficient.
L^ ln an area of the Great Plains, records were kept on the relationship between the rainfall (in inches)
and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient.
rr.r ?.2 | l{e
12-3
5r8 i5
117.7
| r8,J
5.9
7V.9 -iFl I
f ,\ rouq; hRh\ \cLov'nn\2^A' s '^6 fecl^'"o\t$ >
a) 0.981 *o ao\*Ir$3 $rr' car"<'tclrdrn'- coaffi cre vUl-
b) 0.998 (*-'+r- '+-+'1'^J,
c) 0.899
d) 0.900
Y= -leot
Use the scatter diagrams shown, labeled a through f to solve the problem.
ln which scatter diagram is r = 0.01?
1.
f=,o, %3*\
H, tf,
a- ,^[ w€"K
to I{t or Ftcn -{.:r :tk'lf
B s
Itnaar as*aafin7
6 6
4 4
IX3456x lx3456x
l3 oa t1
taol
IG a IO
I $
f s
4 !+
,|
2
t23456x I 2 3 4 5 S 7r'
I? l2
t0 lfi
I I
f 6
4 ,N
,l 2
I 3 3 4 5 6 ?E It3456x
a)e
b)d
c) f
d)c
, ldentify the correlation coefficient.
Which correlation coefficient best describes the relation depicted in the scatter-plot?
Lr"sg #n, & cc'vrc-LIln^.-
Cor$tuu** y:.a.s+'ur'<3 )'t6t') g\6ac--
t3,{ pi''nrt-s a^-L + 14- Us+ -fl
se#
lr,* . 5'A'- *a';5 A"fu
dtsottt e+ * n2A4'h"4-
lr<nA"'
a) -0.7
wL cat" 5\y +&r^4 &+PFcPri
b) -0.1 *o L ^ 7'1"- 6tr"-'2- r
c)0 nrSu;\'
t\e34hvt- cdY'fe'la'hc'"'-
d) 0.1
e) 0.7
Select the most appropriate response.
E-' Given the length of a human's femur, x, and the length of a human's humerus, y, would you expect a
positive correlation, a negative correlation, or no correlation?
a) negativecorrelation T wtul4 e:tVctt y /r'2"t tdu*l
rcbut" 6
6x
b) positivecorrelation Nntkt tccur lrvrlL ry t'.
c) no correlation
Determine the linear correlation coefficient.
L^ ln an area of the Great Plains, records were kept on the relationship between the rainfall (in inches)
and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient.
rr.r ?.2 | l{e
12-3
5r8 i5
117.7
| r8,J
5.9
7V.9 -iFl I
f ,\ rouq; hRh\ \cLov'nn\2^A' s '^6 fecl^'"o\t$ >
a) 0.981 *o ao\*Ir$3 $rr' car"<'tclrdrn'- coaffi cre vUl-
b) 0.998 (*-'+r- '+-+'1'^J,
c) 0.899
d) 0.900
Y= -leot
