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Exam (elaborations) Midterm Quiz 2 - GT Students and Verified MM Learners | Midterm Quiz 2 | ISYE6501x Courseware | edX (COMSCI183) €8,84
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Exam (elaborations) Midterm Quiz 2 - GT Students and Verified MM Learners | Midterm Quiz 2 | ISYE6501x Courseware | edX (COMSCI183)

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Midterm Quiz 2 - GT Students and Verified MM Learners |
5/1/2020


GTx: ISYE6501x
Introduction to Analytics Modeling Help khoi32

Midterm Quiz 2 | ISYE6501x Courseware | edX


Midterm Quiz 2 - GT Students and
Veri�ed MM Learners
Course  Midterm Quiz 2 - Spring 2020  Midterm
Quiz 2 



Midterm Quiz 2 - GT Students and Veri�ed MM Learners
90 Minute Time Limit
Instructions
Work alone. Do not collaborate with or copy from anyone
else. You may use any of the following resources:
One sheet (both sides) of handwritten (not photocopied or scanned) notes
If any question seems ambiguous, use the most reasonable interpretation (i.e. don't be like Calvin):




Good Luck!


This the beginning of Midterm Quiz 2. Please make sure that you submit all your answers before the time runs out. Once you submit an
answer to a question, you cannot change it. There is no overall Submit button.



Information for Question 1
There are �ve questions labeled "Question 1." Answer all �ve questions. For each of the following �ve questions, select the
probability distribution that could best be used to model the described scenario. Each distribution might be used, zero, one,
or more than one time in the
�ve questions.


Question 1
1.4/1.4 points (graded)
Number of days in a year where the temperature is more than 3 degrees higher than forecast

Binomial


Submit You have used 1 of 1 attempt



Question 1
1.4/1.4 points (graded)
Number of phone calls made by a telemarketer until one is answered

Geometric


Submit You have used 1 of 1 attempt



Question 1
1.4/1.4 points (graded)
Time from the beginning of Fall until the �rst snow�ake is seen

Weibull


Submit You have used 1 of 1 attempt



Question 1
1.4/1.4 points (graded)
Time from when a house is put on the market until the �rst o�er is received

Weibull


Submit You have used 1 of 1 attempt



Question 1




https://courses.edx.org/courses/course-v1:GTx+ISYE6501x+1T2020/courseware/f712bb2a96ff46b0bc8d775293bfc91d/1b57ff6ea64c40cf8f4eb69d2b4f10a9/?activate_block_id=block-v1%3AGTx%2BISYE6501x%2B1T2020%2Btype%40sequential%2Bblock%401b57ff6ea64c40cf8f4eb69d2b4f10a9 1/11

, Midterm Quiz 2 - GT Students and Verified MM Learners |
5/1/2020




Midterm Quiz 2 | ISYE6501x Courseware | edX
1.4/1.4 points (graded)
Time from when a generator is turned on until it fails
Weibull 

Submit You have used 1 of 1 attempt




Questions 2a, 2b
5.0/10.0 points (graded)
Five classi�cation models were built for predicting whether a neighborhood will soon see a large rise in home prices, based on
public elementary school ratings and other factors. The training data set was missing the school rating variable for every new
school (3% of the data points).
Because ratings are unavailable for newly-opened schools, it is believed that locations that have recently experienced high
population growth are more likely to have missing school rating data.

Model 1 used imputation, �lling in the missing data with the average school rating from the rest of the data.

Model 2 used imputation, building a regression model to �ll in the missing school rating data based on other variables.
Model 3 used imputation, �rst building a classi�cation model to estimate (based on other variables) whether a new
school is likely to have been built as a result of recent population growth (or whether it has been built for another
purpose, e.g. to replace a very old school), and then using that classi�cation to select one of two regression models to �ll
in an estimate of the school rating; there are two di�erent regression models (based on other variables), one for
neighborhoods with new schools built due to population growth, and one for neighborhoods with new schools built for
other reasons.

Model 4 used a binary variable to identify locations with missing information.
Model 5 used a categorical variable: �rst, a classi�cation model was used to estimate whether a new school is likely to have
been built as a result of recent population growth; and then each neighborhood was categorized as "data available",
"missing, population growth", or "missing, other reason".
a. If school ratings cannot be reasonably well-predicted from the other factors, and new schools built due to recent
population growth cannot be reasonably well-classi�ed using the other factors, which model would you recommend?


Model 1


Model 2


Model 3


Model 4 


Model 5




b. In which of the following situations would you recommend using Model 5? [All predictions and classi�cations below are
using the other factors.]


Ratings can be well-predicted, and reasons for building schools can be well-classi�ed.


Ratings can be well-predicted, and reasons for building schools cannot be well-classi�ed.


Ratings cannot be well-predicted, and reasons for building schools can be well-classi�ed.


Ratings cannot be well-predicted, and reasons for building schools cannot be well-classi�ed.




Submit You have used 1 of 1 attempt



 Answers are displayed within the problem


Information for Question 3

In a diet problem (like we saw in the lessons and homework), let xibe the amount of food i in the solution (x i >= 0), and let
M be the maximum amount that can be eaten of any food.

Suppose we added new variables yithat are binary (i.e., they must be either 0 or 1): if food i is eaten in the solution, then it
is part of the solution (yi = 1); otherwise yi = 0.


There are �ve questions labeled "Question 3." Answer all �ve questions. For each of the following �ve questions, select the
mathematical constraint that best corresponds to the English sentence. Each constraint might be used, zero, one, or more
than one time in the �ve questions.



Question 3
1.4/1.4 points (graded)
Select the mathematical constraint that corresponds to the following English sentence:




https://courses.edx.org/courses/course-v1:GTx+ISYE6501x+1T2020/courseware/f712bb2a96ff46b0bc8d775293bfc91d/1b57ff6ea64c40cf8f4eb69d2b4f10a9/?activate_block_id=block-v1%3AGTx%2BISYE6501x%2B1T2020%2Btype%40sequential%2Bblock%401b57ff6ea64c40cf8f4eb69d2b4f10a9 2/11

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