Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 3.3, Problem 9E
To determine
Identify whether the statement “The third
Rewrite the correct statement if it is false.
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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 *…
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…
Chapter 3 Solutions
Essential Statistics
Ch. 3.1 - 1. Compute the mean and median of the following...Ch. 3.1 - 2. Compute the mean and median of the following...Ch. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - 5. A data set has a mean of 5 and a median of 7....Ch. 3.1 - Prob. 6CYUCh. 3.1 - In Exercises 7–10, fill in each blank with the...Ch. 3.1 - In Exercises 7–10, fill in each blank with the...Ch. 3.1 - In Exercises 7–10, fill in each blank with the...Ch. 3.1 - In Exercises 7–10, fill in each blank with the...
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - 18. Find the mean, median, and mode for the...Ch. 3.1 - Prob. 19ECh. 3.1 - In Exercises 19–22, use the given frequency...Ch. 3.1 - Prob. 21ECh. 3.1 - In Exercises 19–22, use the given frequency...Ch. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - 30. Mean and median height: The National Center...Ch. 3.1 - 31. Hamburgers: An ABC News story reported the...Ch. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - 36. Beer: The following table presents the number...Ch. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - 39. Heavy football players: Following are the...Ch. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - 42. News flash: The following table presents the...Ch. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - 52. Sources of news: A sample of 32 U.S. adults...Ch. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Prob. 70ECh. 3.1 - Prob. 71ECh. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Prob. 74ECh. 3.2 - 1. Compute the population variance for the St....Ch. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9ECh. 3.2 - In Exercises 9–12, fill in each blank with the...Ch. 3.2 - Prob. 11ECh. 3.2 - In Exercises 9–12, fill in each blank with the...Ch. 3.2 - Prob. 13ECh. 3.2 - In Exercises 13–16, determine whether the...Ch. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - 18. Find the sample variance and standard...Ch. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - 23. Approximate the sample variance and standard...Ch. 3.2 - 24. Approximate the sample variance and standard...Ch. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - 33. Heavy football players: Following are the...Ch. 3.2 - 34. Beer: The following table presents the number...Ch. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - 42. Pay your bills: In a large sample of customer...Ch. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - 46. Pay your bills: For the data in Exercise 42,...Ch. 3.2 - Prob. 47ECh. 3.2 - 48. Internet providers: For the data in Exercise...Ch. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.3 - Following are final exam scores, arranged in...Ch. 3.3 - Prob. 2CYUCh. 3.3 - Prob. 3CYUCh. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5ECh. 3.3 - In Exercises 5–8, fill in each blank with the...Ch. 3.3 - Prob. 7ECh. 3.3 - In Exercises 5–8, fill in each blank with the...Ch. 3.3 - Prob. 9ECh. 3.3 - In Exercises 9–12, determine whether the statement...Ch. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - A population has mean μ = 7 and standard deviation...Ch. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - For the data set a. Find the 80th percentile. b....Ch. 3.3 - Standardized tests: In a recent year, the mean...Ch. 3.3 - A fish story: The mean length of one-year-old...Ch. 3.3 - Prob. 23ECh. 3.3 - Blood pressure in women: The article referred to...Ch. 3.3 - Hazardous waste: Following is a list of the number...Ch. 3.3 - Cholesterol levels: The National Health and...Ch. 3.3 - Commuting to work: Jamie drives to work every...Ch. 3.3 - Windy city by the bay: Following are wind speeds...Ch. 3.3 - Caffeine: Following are the number of grams of...Ch. 3.3 - Nuclear power: The following table presents the...Ch. 3.3 - Place your bets: Recently, 28 states in the U.S....Ch. 3.3 - Hail to the chief: There have been 57 presidential...Ch. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Automotive emissions: Following are levels of...Ch. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Boxplot possible? Following is the five-number...Ch. 3.3 - Unusual boxplot: Ten residents of a town were...Ch. 3.3 - Prob. 42ECh. 3.3 - The vanishing outlier: Seven families live on a...Ch. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3 - Of the mean, median, and mode, which must be a...Ch. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Each of the following histograms represents a data...Ch. 3 - Prob. 8CQCh. 3 - Prob. 9CQCh. 3 - Prob. 10CQCh. 3 - Prob. 11CQCh. 3 - Prob. 12CQCh. 3 - Prob. 13CQCh. 3 - Prob. 14CQCh. 3 - Prob. 15CQCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Measure that ball: Each of 16 students measured...Ch. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - How long can you talk? A manufacturer of cell...Ch. 3 - Prob. 11RECh. 3 - Advertising costs: The amounts spent (in billions)...Ch. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 1WAICh. 3 - Explain why the Empirical Rule is more useful than...Ch. 3 - Prob. 3WAICh. 3 - Prob. 4WAICh. 3 - Prob. 5WAICh. 3 - Prob. 1CSCh. 3 - Prob. 2CSCh. 3 - Prob. 3CSCh. 3 - Prob. 4CSCh. 3 - Prob. 5CSCh. 3 - Prob. 6CSCh. 3 - Prob. 7CSCh. 3 - Prob. 8CSCh. 3 - Prob. 9CS
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- Using 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_forwardappropriate probabilities. 19 Using the data from Table 17-1, are gender and political party independent for this group? nis cow sib signia si Falows grillor le pussarrow_forward
- 11 Using the same toddler data, describe the toddlers with marginal probabilities only. BAY bit of benoliesmas (89 abje' jook stages of te cojota ing ou an out of to cojota ovig ber el ba 3+4=029arrow_forward21 Using the data from the table in Question 1, does the dominant hand differ for male toddlers versus female toddlers? (In other words, are these two events dependent?)arrow_forwardop In a two-way table with variables A and B, does P(A|B) + P(A|B) = 1? பே 69 6 work as m 3 atavs ow to portabagabat sot gaisarrow_forward
- In a two-way table with variables A and B, does P(A|B)+P(A|B)=1? dsins/Ispino936) 1 durab ALED a to gilidadost Earrow_forwardpreference are dependent (you even have to look at the males). Using the bumper sticker data in the first example problem in this chapter, are car age and number of bumper stickers related (In other words, are these two events dependent?) d insbusqabni oss agit ads bms gliw woy tadi validadong ada 15W wex s m ad ow MP gliw Boy 1st yilidadong at al terW .d Shsed smo viaxe 5X9 of pe 012 from 12 or to HOM qose Aunt swam to prepants M&arrow_forward23 வ dous biops Which marginal probabilities that you find in a two-way table should sum to 1? 著arrow_forward
- Using the toddler data from the table in Question 1 and appropriate probability notation, do the following: a. Compare the right-handed female and male toddlers in the sample, using condi- tional probabilities (only). b. Compare the right-handed toddlers asid in the sample, using conditional probabilities (only).dependent abni sis & bas bax bensqged snavs med) galworl andarrow_forwardUsing the toddler data from the table in Question 1 and appropriate probability notation, identify and calculate the following: a. What percentage of the male toddlers are right-handed? te b. What percentage of the female toddlers are right-handed? c. What percentage of the right-handed toddlers are male? d. What percentage of the right-handed toddlers are female?arrow_forward10 Using the toddler data from the table in Question 1 and the appropriate probability Tonotation, identify and calculate ther s following: a. What percentage of the toddlers are right-handed? b. now to What percentage of the toddlers are female? female? da boit vom wo c. What proportion of the toddlers are left-handed? d. What's the chance of finding a male toddler from the sample? [10arrow_forward
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