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| Section | Objectives |
|---|---|
| Statistical Inference | - Hypothesis testing
|
| Probability | - Probability rules
|
| Probability Distributions | - Discrete distributions
|
| Descriptive Statistics | - Data visualization
|
| Regression and Correlation | - Relationship analysis
|
>> Applied-Probability-and-Statistics시험유효자료 <<
DumpTOP의WGU인증 Applied-Probability-and-Statistics시험대비 덤프는 가격이 착한데 비하면 품질이 너무 좋은 시험전 공부자료입니다. 시험문제적중율이 높아 패스율이 100%에 이르고 있습니다.다른 IT자격증에 관심이 있는 분들은 온라인서비스에 문의하여 덤프유무와 적중율등을 확인할수 있습니다. WGU인증 Applied-Probability-and-Statistics덤프로 어려운 시험을 정복하여 IT업계 정상에 오릅시다.
질문 # 155
Sample correlation r = 0.6. R² = ?
정답：B
설명：
The coefficient of determination, R², is obtained by squaring the correlation coefficient r in simple linear regression. Here, r = 0.6, so R² = (0.6)² = 0.36. This means that 36% of the variability in the response variable is explained by the linear relationship with the explanatory variable. The remaining 64% of variability is not explained by that linear model and may be due to other variables, random variation, measurement error, or nonlinear structure. Option B gives the correlation itself, not its square. Option C would come from squaring
0.4, not 0.6. Option D would imply a perfect explanatory relationship, which would require |r| = 1. The value of R² is always between 0 and 1 and is commonly interpreted as a proportion of explained variation. Study Guide references/topics: correlation, coefficient of determination, regression, explained variation.
질문 # 156
Correlation coefficient r = #0.5 #
정답：B
설명：
The correlation coefficient r describes the direction and strength of a linear relationship between two quantitative variables. Its values range from #1 to +1. A negative value indicates that as one variable increases, the other tends to decrease. Since r = #0.5, the direction is negative. Its magnitude, 0.5, is not close enough to zero to indicate no relationship, but it is also not close enough to #1 to represent an extremely strong relationship. Therefore, the best description is a moderate negative linear relationship. Option B is incorrect because the sign is negative, not positive. Option C is incorrect for both direction and strength.
Option D would be appropriate only when r is near 0, indicating little or no linear association. A scatterplot with r = #0.5 would generally show a downward trend, but with noticeable scatter around the trend. Study Guide references/topics: correlation coefficient, negative association, scatterplots, linear relationship strength.
질문 # 157
R² = 0.81 # correlation r = ?
정답：A
설명：
In simple linear regression, R² is the square of the correlation coefficient r. Therefore, to recover the possible correlation value from R², take the square root: r = ±#R². With R² = 0.81, the square root is #0.81 = 0.9, so r may be +0.9 or #0.9. The sign cannot be determined from R² alone because squaring removes direction. A positive r would indicate an upward linear association, while a negative r would indicate a downward linear association. Option D gives only +0.9, which would be correct only if the slope or scatterplot confirmed a positive relationship. Option B incorrectly treats R² as though it were r. Option C incorrectly keeps 0.81 after applying the square-root relationship. The technically complete answer is ±0.9. Study Guide references
/topics: coefficient of determination, correlation coefficient, regression, explained variation.
질문 # 158
What is the mode of this dataset: 3, 5, 7, 7, 10?
정답：D
설명：
The mode is the value that occurs most frequently in a data set. In the set 3, 5, 7, 7, 10, the value 3 appears once, 5 appears once, 10 appears once, and 7 appears twice. Since 7 has the highest frequency, it is the mode.
This question tests recognition of a measure of center that differs from the mean and median. The mean would require summing all values and dividing by the number of observations, while the median would identify the middle value after ordering the data. The data are already ordered, and the middle value is also 7, but the reason the correct answer is 7 here is specifically because it appears more often than any other value. Options A, B, and D each name values that occur only once, so none can be the mode. A dataset may have one mode, multiple modes, or no mode, but this dataset is unimodal. References/topics from the Study Guide: descriptive statistics, measures of center, frequency, mode.
질문 # 159
Probability of rolling an odd number on a die:
정답：B
설명：
A standard six-sided die has six equally likely outcomes: 1, 2, 3, 4, 5, and 6. The odd outcomes are 1, 3, and
5. Thus, there are 3 favorable outcomes out of 6 possible outcomes. The probability is 3/6, which simplifies to
1/2. This means an odd number is just as likely as an even number on a fair die. Option B, 1/3, would represent 2 favorable outcomes out of 6, which is not correct. Option C, 1/6, is the probability of rolling one specific number, such as only a 1. Option D, 2/3, would require 4 favorable outcomes out of 6. Since exactly half the faces are odd, the probability is one-half. Study Guide references/topics: theoretical probability, equally likely outcomes, sample space, favorable outcomes.
질문 # 160
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