Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter J, Problem 32DE
To determine
To calculate: The value of expression
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A classification study involving several classifiers was carried out. After training and the usual validation step, the following table
shows results for classifiers tried. In below, classifiers are identified as M1, M2 and so on.
Sensitivity
Specificity
M1
0.82
0.82
M2
0.92
0.72
M3
0.72
0.92
M4
0.46
0.47
M5
0.03
0.16
M6
0.13
0.02
M7
0.33
0.64
M8
0.72
0.24
M9
0.47
0.82
M10
0.06
0.84
The following list has statements about the classifiers. In the list, there is a single incorrect statement. Please identify the incorrect
statement.
Hint 1: recall that a classifier dominates another if both performance measures are better.
Hint 2: to help you visualize and compare classifiers, you may want to plot the classifier data in a ROC graph (which will not be
submitted).
Select one:
Qa.
O b.
Oc.
d.
By swapping zeroes and ones, M5 can be worsened
M8 does not dominate M9
M1 dominates all of M4, M5 and M6
M1 is a good classifier
?
e.
By swapping zeroes and ones, the performance of M4 does not change…
Consider the following training data, shown below before centering.
XY
1
0
1
1
1
1
1
1
00
1
1
1
0 0
1
1
1
0
1
1
This data set will be analysed after centering all columns (not scaling). In what follows, the centered data columns are referred to as
X and Y. Using these centered columns, we have the following quantities: XTX = 24/11 = 2.1818; XTY = 13/11 =
and YTY = 24/11 = 2.1818.
Ridge regression
Q1 For 2 =
R
AR
=
1.1818
0.56, compute and write in the provided space the ridge estimate ẞ (0.56). Use decimal numbers, not fractions.
Q2 Using the ridge estimate ẞ (0.56) you just computed, determine the percentage of shrinkage achieved with respect to the
squared L2 norm. That is, compute the shrinkage using || (0.56)||||||with the OLS estimate. In the provided space, write
the shrinkage as percentage between 0 and 100 with decimal values.
Lasso
AR
Q3 The following are several expressions for the lasso estimate: (2) = 0.5833 * (1 - 0.84622);
L
L
(a) = 0.5833 * (1 -0.78572); (A) = 0.5417 *…
5:38
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Chapter J Solutions
Developmental Mathematics (9th Edition)
Ch. J - Find the square roots.
1.
Ch. J - Prob. 2DECh. J - Prob. 3DECh. J - Prob. 4DECh. J - Prob. 5DECh. J - Prob. 6DECh. J - Prob. 7DECh. J - Prob. 8DECh. J - Prob. 9DECh. J - Prob. 10DE
Ch. J - Prob. 11DECh. J - Prob. 12DECh. J - Prob. 13DECh. J - Prob. 14DECh. J - Prob. 15DECh. J - Prob. 16DECh. J - Prob. 17DECh. J - Prob. 18DECh. J - Prob. 19DECh. J - Prob. 20DECh. J - Prob. 21DECh. J - Prob. 22DECh. J - Prob. 23DECh. J - Prob. 24DECh. J - Prob. 25DECh. J - Prob. 26DECh. J - Prob. 27DECh. J - Prob. 28DECh. J - Prob. 29DECh. J - Prob. 30DECh. J - Prob. 31DECh. J - Prob. 32DECh. J - Prob. 33DECh. J - Prob. 34DECh. J - Prob. 35DECh. J - Prob. 36DECh. J - Prob. 37DECh. J - Prob. 38DECh. J - Prob. 39DECh. J - Prob. 40DECh. J - Prob. 41DECh. J - Prob. 42DECh. J - Prob. 43DECh. J - Prob. 44DECh. J - Prob. 45DECh. J - Prob. 46DECh. J - Prob. 47DECh. J - Prob. 48DECh. J - Prob. 49DECh. J - Prob. 50DECh. J - Prob. 51DECh. J - Prob. 52DECh. J - Prob. 53DECh. J - Prob. 54DECh. J - Prob. 55DECh. J - Prob. 56DECh. J - Prob. 57DECh. J - Prob. 58DECh. J - Prob. 59DECh. J - Prob. 60DECh. J - Prob. 61DECh. J - Prob. 62DECh. J - Prob. 63DECh. J - Prob. 64DECh. J - Prob. 65DECh. J - Prob. 66DECh. J - Prob. 1ESCh. J - Prob. 2ESCh. J - Prob. 3ESCh. J - Prob. 4ESCh. J - Prob. 5ESCh. J - Prob. 6ESCh. J - Prob. 7ESCh. J - Prob. 8ESCh. J - Prob. 9ESCh. J - Prob. 10ESCh. J - Prob. 11ESCh. J - Prob. 12ESCh. J - Prob. 13ESCh. J - Prob. 14ESCh. J - Prob. 15ESCh. J - Prob. 16ESCh. J - Prob. 17ESCh. J - Prob. 18ESCh. J - Prob. 19ESCh. J - Prob. 20ESCh. J - Prob. 21ESCh. J - Prob. 22ESCh. J - Prob. 23ESCh. J - Prob. 24ESCh. J - Prob. 25ESCh. J - Prob. 26ESCh. J - Prob. 27ESCh. J - Prob. 28ESCh. J - Prob. 29ESCh. J - Prob. 30ESCh. J - Prob. 31ESCh. J - Prob. 32ESCh. J - Prob. 33ESCh. J - Prob. 34ESCh. J - Prob. 35ESCh. J - Prob. 36ESCh. J - Prob. 37ESCh. J - Prob. 38ESCh. J - Prob. 39ESCh. J - Prob. 40ESCh. J - Prob. 41ESCh. J - Prob. 42ESCh. J - Prob. 43ESCh. J - Prob. 44ESCh. J - Prob. 45ESCh. J - Prob. 46ESCh. J - Prob. 47ESCh. J - Prob. 48ESCh. J - Prob. 49ESCh. J - Prob. 50ESCh. J - Prob. 51ESCh. J - Prob. 52ESCh. J - Prob. 53ESCh. J - Prob. 54ESCh. J - Prob. 55ESCh. J - Prob. 56ESCh. J - e
Rewrite without rational exponents, and...Ch. J - Prob. 58ESCh. J - Prob. 59ESCh. J - Prob. 60ESCh. J - Prob. 61ESCh. J - Prob. 62ESCh. J - Prob. 63ESCh. J - Prob. 64ESCh. J - Prob. 65ESCh. J - Prob. 66ESCh. J - Prob. 67ESCh. J - Prob. 68ESCh. J - Prob. 69ESCh. J - Prob. 70ESCh. J - Prob. 71ESCh. J - Prob. 72ESCh. J - Prob. 73ESCh. J - Prob. 74ESCh. J - Prob. 75ESCh. J - Prob. 76ESCh. J - Prob. 77ESCh. J - Prob. 78ESCh. J - Prob. 79ESCh. J - Prob. 80ESCh. J - Prob. 81ESCh. J - Prob. 82ESCh. J - Prob. 83ESCh. J - Prob. 84ESCh. J - Prob. 85ESCh. J - Prob. 86ESCh. J - Prob. 87ESCh. J - Prob. 88ESCh. J - Prob. 89ESCh. J - Prob. 90ESCh. J - Prob. 91ESCh. J - Prob. 92ESCh. J - Prob. 93ESCh. J - Prob. 94ES
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