ISYE 6414 - Midterm Exam Guide: All questions and Solutions Provided
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Course
ISYE 6414
Institution
ISYE 6414
ISYE 6414 - Midterm Exam Guide: All questions and Solutions Provided
Regression Analysis - ANS Regression analysis is a simple way to investigate the relationship between 2 or more variables in a non-deterministic way.
Response/Target Variable (Y) - ANS This is a variable we're interested...
, Regression Analysis - ANS Regression analysis is a simple way to investigate the
relationship between 2 or more variables in a non-deterministic way.
Response/Target Variable (Y) - ANS This is a variable we're interested in
understanding, modeling or testing
This is a random variable. It varies with changes in the predictor(s)
2. Predicting/Explanatory (independent) Variables(Xs ~ X1, X2) - ANS These are
variables we think might be useful in predicting or modeling the response variable
M
This is a fixed variable. It does not change with the response
Simple Linear Regression - ANS We have a straight line which doesn't fit perfectly to
the points
AO
The objective is to fit a non-deterministic linear model between the predicting variable
and Y.
In simple linear regression, we have 3 parameters to estimate.
Multiple Linear Regression - ANS We can have a plane if we have two predictions
Polynomial Regression - ANS We are capturing a nonlinear relationship
N
Objectives of Linear Regression - ANS 1. Prediction: We want to see how the
response variable behaves in different settings
JP
2. Modeling: We are interested in modeling the relationship between the response
variable and the explanatory/predicting variables
3. Testing: We are also interested in testing the hypotheses of association relationships.
Simple Linear Regression Assumptions - ANS • Linearity/Mean Zero Assumption: This
means that the expected value of the errors is zero
• Constant Variance Assumption: This means that the variance of the error term is equal
to sigma_squared is the same across all error terms
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