Page 338 - qrps

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Q
uantitative
R
easoning &
P
roblem
S
olving
338
© 2014 Pacific Crest
Step
Explanation
4.
Calculate the
z-scores
Calculate the z-scores for all values of x and y (dependant
and independent variables) using the appropriate formula:
x x
z
σ
=
quiz score
quiz z-score
test score
test z-score
15
=
=
15 10.7647 0.768
5.517
z
74
=
=
74 72.9412 0.071
14.981
z
16
0.949
95
1.472
10
-0.139
75
0.137
12
0.224
76
0.204
9
-0.320
80
0.471
6
-0.864
75
0.137
10
-0.139
81
0.538
18
1.311
81
0.538
2
-1.589
36
-2.466
20
1.674
93
1.339
6
-0.864
75
0.137
16
0.949
70
-0.196
5
-1.045
64
-0.597
3
-1.407
43
-1.999
6
-0.864
66
-0.463
13
0.405
83
0.671
16
0.949
73
0.004