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ISYE 6501 - Midterm 2 EXAM QUESTIONS AND VERIFIED ANSWERS

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ISYE 6501 - Midterm 2 EXAM QUESTIONS AND VERIFIED ANSWERS ISYE 6501 - Midterm 2 EXAM QUESTIONS AND VERIFIED ANSWERS

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ISYE 6501 - Midterm 2
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when the # of factors is close to or larger than the # of data

when might overfitting occur points causing the model to potentially fit too closely to random

effects


Why are simple models better less data is required; less chance of insignificant factors and

than complex ones easier to interpret


we select the best new factor and see

if it's good enough (R^2, AIC, or p-

value) add it to our model and fit the
what is forward selection
model with the current set of factors.

Then at the end we remove factors

that are lower than a certain threshold


we start with all factors and find the

worst on a supplied threshold (p =

0.15). If it is worse we remove it and

start the process over. We do that until
what is backward elimination
we have the number of factors that we

want and then we move the factors

lower than a second threshold (p = .05)

and fit the model with all set of factors


it is a combination of forward selection

and backward elimination. We can

either start with all factors or no

factors and at each step we remove or

what is stepwise regression add a factor. As we go through the

procedure after adding each new

factor and at the end we eliminate

right away factors that no longer

appear.


what type of algorithms are Greedy algorithms - at each step they take one thing that looks

stepwise selection? best

, a variable selection method where the

coefficients are determined by both

what is LASSO minimizing the squared error and the

sum of their absolute value not being

over a certain threshold t


use the lasso approach with different values of t and see which
How do you choose t in LASSO
gives the best trade off


why do we have to scale the if we don't the measure of the data will artificially affect how big

data for LASSO the coefficients need to be


A variable selection method that works

by minimizing the squared error and

What is elastic net? constraining the combination of

absolute values of coefficients and

their squares


what is a key difference between If the data is not scaled, the coefficients can have artificially

stepwise regresson and lasso different orders of magnitude, which means they'll have

regression unbalanced effects on the lasso constraint.


The coefficients values are squared so

Why doesn't Ridge Regression they go closer to zero or regularizes

perform variable selection? them




What are the pros and cons of Good for initial analysis but often don't perform as well on other

Greedy Algorithms (Forward data because they fit more to random effects than you'd like and

selection, stepwise elimination, appear to have a better fit

stepwise regression)


What are the pros and cons of They are slower but help make models that make better

LASSO and elastic net predictions


Ridge Regression and LASSO.



Advantages: variable selection from LASSO and Predictive

Which two methods does elastic benefits of LASSO.

net look like it combines and

what are the downsides from it? Disadvantages: Arbitrarily rules out some correlated variables

like LASSO (don't know which one that is left out should be);

Underestimates coefficients of very predictive variables like

Ridge Regresison


What are some downsides of Even if you what appears to be a representative sample in simple

surveys? ways, maybe it isn't in more complex ways.


If we're testing to see whether Controlling

red cars sell for higher prices

than blue cars, we need to

account for the type and age of

the cars in our data set. This is

called:


a source of variability that is not of primary interest to the
what is a blocking factor
experimenter

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