WGU C955 EXAM |APPLIED PROBABILITY AND STATISTICS | QUESTIONS AND VERIFIED ANSWERS WITH RATIONALE | 2024/2025 GUIDE
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WGU C955
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WGU C955
WGU C955 EXAM |APPLIED PROBABILITY AND STATISTICS | QUESTIONS AND VERIFIED ANSWERS WITH RATIONALE | 2024/2025 GUIDE
WGU C955 EXAM |APPLIED PROBABILITY AND STATISTICS | QUESTIONS AND VERIFIED ANSWERS WITH RATIONALE | 2024/2025 GUIDE
WGU C955 EXAM |APPLIED PROBABILITY AND STATISTICS | QUESTIO...
WGU C955 EXAM |APPLIED PROBABILITY AND
STATISTICS | QUESTIONS AND VERIFIED
ANSWERS WITH RATIONALE | 2024/2025 GUIDE
1. When constructing a line of best fit, what must be minimized?
a) The vertical distances between that line and the data points.
b) The length of the line.
c) The correlation coefficient.
d) The 𝑝 -value.
Rationale: The line of best fit minimizes the vertical distances between that
line and the data points in the scatterplot.
2. Which of the following correlation coefficients describes a strong,
positive correlation?
a) −0.99
b) 0.69
c) 0.95
d) 0.21
Rationale: A strong, positive correlation is represented by a correlation
coefficient that is close to 1 , such as 0.95 .
3. Using the scatterplot above, what can we expect the percent increase in
sales to be for an advertising expenditure of $ 165 thousand dollars?
, Round your answer to the nearest whole number.
a) Around 121 %
b) Around 139 %
c) Around 161 %
d) Around 198 %
Rationale: Solving algebraically using the linear regression equation
𝑦=0.4546𝑥+64.313 we can substitute 165 in for 𝑥 as the units on the 𝑥 -axis
are provided in $1000s of dollars.
4. The following table shows the performance of two airlines in two
different cities. Is there a Simpson's Paradox occurring?
a) No, because an equal number of flights departed from each city.
b) No, because it's clear from the data that Los Angeles has a higher
rate of delayed flights.
c) Yes, because the delayed flight rates were different for each city.
d) Yes, because while Los Angeles has a greater overall rate of delayed
flights, San Diego has a greater rate of delayed flights when looking at
the individual airlines.
Rationale: Even though Los Angeles has a higher overall rate of delayed
flights( 13% ), San Diego has a greater rate of delayed flights when looking
at Airline A( 11.6% ) and at Airline B ( 13.6% ). Therefore, this is an
example of Simpson's Paradox.
, 5. Which correlation coefficient suggests the strongest correlation?
a) −0.9
b) −0.3
c) 0.1
d) 0.8
Rationale: The one closest to −1 or 1 is the strongest.
6. There are black, blue, and white marbles in a bag. The probability of
choosing a black marble is 0.36 . The probability of choosing a black
and then a white marble is 0.27 . To the nearest hundredth, what is the
probability of the second marble being white if the first marble chosen is
black?
a) 0.27
b) 0.39
c) 0.75
d) 0.86
Rationale: Use 𝑃(𝐵∣∣∣𝐴)=𝑃(𝐴 and 𝐵)𝑃(𝐴) . The probability of black and
white is divided by the probability of black. Therefore, 0.27\0.36=0.75 .
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