
Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Question
Chapter 11, Problem 126UP
To determine
Elucidate the difference between a probabilistic model and a deterministic model.
Expert Solution & Answer

Explanation of Solution
Difference between a probabilistic model and a deterministic model:
Probabilistic model:
The probabilistic model has two different parts given as follows:
- Deterministic model.
- Random error.
The general form of the probabilistic model is as follows:
Where, y is the variable of interest.
Deterministic model:
The deterministic model deals with the prediction of y exactly from x.
The general form of the deterministic model is as follows:
Where, y is the variable of interest.
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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 *…
Chapter 11 Solutions
Statistics (13th Edition)
Ch. 11.1 - Why do we generally prefer a probabilistic model...Ch. 11.1 - What is the difference between a dependent...Ch. 11.1 - What is the line of means?
Ch. 11.1 - If a straight-line probabilistic relationship...Ch. 11.1 - 11.1 In each case, graph the line that passes...Ch. 11.1 - Give the slope and y-intercept for each of the...Ch. 11.1 - Prob. 7LMCh. 11.1 - Prob. 8LMCh. 11.1 - Prob. 9LMCh. 11.1 - Give the slope and y-intercept for each of the...
Ch. 11.1 - Measuring the moon’s orbit. A handheld digital...Ch. 11.1 - Prob. 12ACBCh. 11.1 - Prob. 13ACBCh. 11.1 - Prob. 14ACBCh. 11.2 - In regression, what is an error of prediction?
Ch. 11.2 - Prob. 16UPCh. 11.2 - Prob. 17UPCh. 11.2 - The accompanying table is used to make the...Ch. 11.2 - 11.15 Refer to Exercise 11.14. After the least...Ch. 11.2 - Prob. 20LMCh. 11.2 - Consider the following pairs of...Ch. 11.2 - Applet Exercise 11.1
Use the applet Regression by...Ch. 11.2 - Prob. 22ACBCh. 11.2 - Prob. 23ACBCh. 11.2 - Prob. 24ACBCh. 11.2 - New method for blood typing. Refer to the...Ch. 11.2 - Mongolian desert ants. Refer to the Journal of...Ch. 11.2 - Prob. 27ACBCh. 11.2 - Repair and replacement costs of water pipes. Pipes...Ch. 11.2 - Prob. 29ACICh. 11.2 - FCAT scores and poverty. In the state of Florida,...Ch. 11.2 - Sound waves from a basketball. Refer to the...Ch. 11.2 - 11.26 Sweetness of orange juice. The quality of...Ch. 11.2 - Prob. 33ACICh. 11.2 - Prob. 34ACICh. 11.2 - Prob. 35ACACh. 11.2 -
11.27 Forecasting movie revenues with Twitter....Ch. 11.3 - What are the four assumptions made about the...Ch. 11.3 - Prob. 38UPCh. 11.3 - Prob. 39LMCh. 11.3 - Suppose you fit a least squares line to 12 data...Ch. 11.3 - Refer to Exercises 11.18 and 11.21 (p. 597)....Ch. 11.3 - Prob. 42ACBCh. 11.3 - Prob. 43ACBCh. 11.3 - Prob. 44ACBCh. 11.3 - Prob. 45ACBCh. 11.3 - Prob. 46ACBCh. 11.3 - Prob. 47ACBCh. 11.3 - Prob. 48ACICh. 11.3 - FCAT scores and poverty. Refer to the Journal of...Ch. 11.3 - Prob. 50ACICh. 11.3 - Ideal height of your mate. Refer to the Chance...Ch. 11.3 - Prob. 52ACACh. 11.4 - In the equation E(y) = β0 + β1x, what is the value...Ch. 11.4 - What conditions are required for valid inferences...Ch. 11.4 - How do you adjust the p-value obtained from a...Ch. 11.4 - Prob. 56UPCh. 11.4 - Construct both a 95% and a 90% confidence interval...Ch. 11.4 - Consider the following pairs of...Ch. 11.4 - Consider the following pairs of...Ch. 11.4 - Congress voting on women’s issues. The American...Ch. 11.4 - Estimating repair and replacement costs of water...Ch. 11.4 - Prob. 62ACBCh. 11.4 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.4 - 11.56 Beauty and electoral success. Are good looks...Ch. 11.4 - 11 57 Ranking driving performance of professional...Ch. 11.4 - FCAT scores and poverty. Refer to the Journal of...Ch. 11.4 - Sweetness of orange juice. Refer to Exercise...Ch. 11.4 - Ideal height of your mate. Refer to the Chance...Ch. 11.4 - Forest fragmentation study. Refer to the...Ch. 11.4 - Effect of massage on boxers. Refer to the British...Ch. 11.4 - Eye anatomy of giraffes. Giraffes are believed to...Ch. 11.4 - Pain empathy and brain activity, Empathy refers to...Ch. 11.4 - Characterizing bone with fractal geometry. In...Ch. 11.4 - The “name game.” Refer to the Journal of...Ch. 11.4 - Does elevation affect hitting performance in...Ch. 11.4 - 11.62 Spreading rate of spilled liquid. Refer to...Ch. 11.5 - True or False. The correlation coefficient is a...Ch. 11.5 - Describe the slope of the least squares line if
r...Ch. 11.5 - Explain what each of the following sample...Ch. 11.5 - True or False. A value of the correlation...Ch. 11.5 - Construct a scatterplot for each data set. Then...Ch. 11.5 - Calculate r2 for the least squares line in...Ch. 11.5 - Calculate r2 for the least squares line in...Ch. 11.5 - Use the applet Correlation by Eye to explore the...Ch. 11.5 - 11.71 RateMyProfessors.com. A popular Web site...Ch. 11.5 - 11.72 Last name and acquisition timing. Refer to...Ch. 11.5 - Taste-testing scales. Refer to the Journal of Food...Ch. 11.5 - 11.69 Going for it on fourth-down in the NFL Each...Ch. 11.5 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.5 - 80215-11.5-90ACB
Redshifts of quasi-stellar...Ch. 11.5 - 11.79 Evaluation of an imputation method for...Ch. 11.5 - Salary linked to height. Are short people...Ch. 11.5 - Prob. 93ACICh. 11.5 - Eye anatomy of giraffes. Refer to the African...Ch. 11.5 - Do nice guys finish first or last? Refer to the...Ch. 11.5 - The “name game.” Refer to the Journal of...Ch. 11.5 - Effect of massage on boxing. Refer to the British...Ch. 11.5 - Child labor in diamond mines. The role of child...Ch. 11.5 - Plants that grow on Swiss cliffs. Refer to the...Ch. 11.5 - Pain tolerance study. A study published in...Ch. 11.6 - Explain the difference between y and E(y) for a...Ch. 11.6 - True or False. For a given x. a confidence...Ch. 11.6 - True or False. The greater the deviation between x...Ch. 11.6 - For each of the following, decide whether the...Ch. 11.6 - 11.85 In fitting a least squares line to n = 10...Ch. 11.6 - Consider the following pairs of...Ch. 11.6 - Consider the following pairs of measurements.
For...Ch. 11.6 - Refer to Exercise 11.107.
Using no information...Ch. 11.6 - 11.86 In business, do nice guys finish first or...Ch. 11.6 - Measuring the moon’s orbit. Refer to the American...Ch. 11.6 - Mongolian desert ants. Refer to the Journal of...Ch. 11.6 - Ranking driving performance of professional...Ch. 11.6 - Sweetness of orange juice. Refer to the simple...Ch. 11.6 -
Removal nitrogen from toxic wastewater. Highly...Ch. 11.6 - Game performance of water polo players. Refer to...Ch. 11.6 - Sound waves from a basketball. Refer to the...Ch. 11.6 - Ideal height of your mate. Refer to the Chance...Ch. 11.6 - The “name game.” Refer to the Journal of...Ch. 11.6 - 11.93 Spreading rate of spilled liquid Refer to...Ch. 11.6 - Forecasting movie revenues with Twitter. Refer to...Ch. 11.6 - 11 96 Life tests of cutting tools Refer to the...Ch. 11.7 - Impact of dropping ping-pong balls. The impact of...Ch. 11.7 - Prob. 123ACICh. 11.7 - 11.100 An MBA’s work-life balance. The importance...Ch. 11.7 - Legal advertising—does it pay? To gain a...Ch. 11 - Prob. 126UPCh. 11 - Give the general form of a straight-line model for...Ch. 11 - Outline the five steps in a simple linear...Ch. 11 - True or False. In simple linear regression, about...Ch. 11 - 11.101 In fitting a least squares line ton= 15...Ch. 11 - 11.102 Consider the following sample...Ch. 11 - 11.103 Consider the following 10 data...Ch. 11 - Arsenic in soil. In Denver, Colorado,...Ch. 11 - Wind turbine blade stress. Mechanical engineers at...Ch. 11 - 11.110 Sports news on local TV broadcasts. The...Ch. 11 - Predicting sale prices of homes. Real-estate...Ch. 11 - Baseball balling averages versus wins. Is the...Ch. 11 - Prob. 138ACBCh. 11 - Prob. 139ACBCh. 11 - English as a second language reading ability. What...Ch. 11 - Prob. 141ACBCh. 11 - New method of estimating rainfall. Accurate...Ch. 11 - Prob. 143ACICh. 11 - Prob. 144ACICh. 11 - Mortality of predatory birds. Two species of...Ch. 11 - Prob. 146ACICh. 11 - Prob. 147ACICh. 11 - Dance/movement therapy. In cotherapy, two or more...Ch. 11 - Prob. 149ACICh. 11 - Snow geese feeding trial. Botanists at the...Ch. 11 - Prob. 151ACACh. 11 - Prob. 152ACACh. 11 - Prob. 153CTC
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- Calculate the 95% confidence intervals for the proportion of children surviving, and the proportion of non-crew adult passengers surviving. We want to use the given data to make inferences about the general population of all large boat crashes, so the data set should be treated as a random sample for this purpose. Part 2 The 95% confidence interval for survival rate amongst non-crew adults runs from enter your response here% to enter your response here%. (Round to one decimal place as needed. Use ascending order.) Part 3 The 95% confidence interval for survival rate amongst children runs from enter your response here% to enter your response here%. (Round to one decimal place as needed. Use ascending order.) Part 4 Test the alternative hypothesis that the proportion of children surviving does not equal 35%, and next, test the alternative hypothesis that the proportion of non-crew adult passengers surviving does not equal 35%. Again, the data set should…arrow_forwardUsing the toddler data table in Question 1, describe the toddlers in the sample with joint probabilities only. (300) B(K)-00+300 501 30 smot dbabib (oor de leng 001-009:(00s) 200, yoogie Fox (D) ed to diman edarrow_forwardRight-Handed Left-Handed 24 Gender Males 4 Females 2 12arrow_forward
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