Georgia Institute Of TechnologyISYE 6501Midterm Quiz 2 - GT Students and Verified MM Learners _ Midterm Quiz 2 _ ISYE6501x Courseware _ edX.
Question 1
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Number of people clicking an online banner ad each hour
Exponential
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Question 1
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Time between people clicking an online banner ad
Weibull
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Question 1
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Time from when a house is put on the market until the Õrst oàer is received
Poisson
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Question 1
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Time from the start of a World Cup soccer match until a goal is scored
Poisson
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Question 1
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Number of hits to a real estate web site each minute
Binomial
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Questions 2a, 2b
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Five classiÕcation 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, Õlling in the missing data with the average school rating from
the rest of the data.
Model 2 used imputation, building a regression model to Õll in the missing school rating
data based on other variables.
Model 3 used imputation, Õrst building a classiÕcation 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 classiÕcation to select one of two regression
Submit
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models to Õll in an estimate of the school rating; there are two diàerent 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: Õrst, a classiÕcation 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 can be reasonably well-classiÕed using the
other factors, which model would you recommend?
b. In which of the following situations would you recommend using Model 2? [All
predictions and classiÕcations below are using the other factors.]
Model 1
Model 2
Model 3
Model 4
Model 5
Ratings can be well-predicted, and reasons for building schools can be wellclassiÕed.
Ratings can be well-predicted, and reasons for building schools cannot be wellclassiÕed.4/6/2020 Midterm Quiz 2 - GT Students and Verified MM Learners | Midterm Quiz 2 | ISYE6501x Courseware | edX
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Information for Question 3
In a diet problem (like we saw in the lessons and homework), let x be the amount of food i
in the solution (x >= 0), and let M be the maximum amount that can be eaten of any
food.
Suppose we added new variables y that 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 (y = 1); otherwise y = 0.
There are Õve questions labeled "Question 3." Answer all Õve questions. For each of the
following Õve 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
Õve questions.
Question 3
1.4/1.4 points (graded)
Select the mathematical constraint that corresponds to the following English sentence:
Either cheese sauce or peanut butter (or both) must be eaten with broccoli.
Ratings cannot be well-predicted, and reasons for building schools can be wellclassiÕed.
Ratings cannot be well-predicted, and reasons for building schools cannot be wellclassiÕed.
Submit
i
i
i
i i
ypeanutbutter + ycheesesauce = 04/6/2020 Midterm Quiz 2 - GT Students and Verified MM Learners | Midterm Quiz 2 | ISYE6501x Courseware | edX
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Question 3
1.4/1.4 points (graded)
Select the mathematical constraint that corresponds to the following English sentence:
Broccoli can only be eaten if either cheese sauce or peanut butter (or both) is also eaten.
ypeanutbutter = 1 − ycheesesauce
ybroccoli ≤ ycheesesauce + ypeanutbutter
ybroccoli + ycheesesauce + ypeanutbutter ≤ 2
xcheesesauce ≤ Mycheesesauce
ycheesesauce = 1
xbroccoli ≤ Mypeanutbutter
xbroccoli ≥ Mypeanutbutter
Submit
ypeanutbutter + ycheesesauce = 0
ypeanutbutter = 1 − ycheesesauce
ybroccoli ≤ ycheesesauce + ypeanutbutter
ybroccoli + ycheesesauce + ypeanutbutter ≤ 24/6/2020 Midterm Quiz 2 - GT Students and Verified MM Learners | Midterm Quiz 2 | ISYE6501x Courseware | edX
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Question 3
1.4/1.4 points (graded)
Select the mathematical constraint that corresponds to the following English sentence:
Neither peanut butter nor cheese sauce can be eaten. [Show Less]
