ISYE 6414 - Midterm 1 Prep Questions
and Answers
If λ=1 - Answer️️ -we do not transform
non-deterministic - Answer️️ -Regression analysis is one of the simplest ways we have
in statistics to investigate the relationship between two or more variables in a ___ way
random - Answer️️ ...
non-deterministic - Answer✔️✔️-Regression analysis is one of the simplest ways we have
in statistics to investigate the relationship between two or more variables in a ___ way
random - Answer✔️✔️-The response variable is a ___ variable, because it varies with
changes in the predicting variable, or with other changes in the environment
fixed - Answer✔️✔️-The predicting variable is a ___ variable. It is set fixed, before the
response is measured.
simple linear regression - Answer✔️✔️-regression analysis involving one independent
variable and one dependent variable in which the relationship between the variables is
approximated by a straight line
Multiple Linear Regression - Answer✔️✔️-A statistical method used to model the
relationship between one dependent (or response) variable and two or more
independent (or explanatory) variables by fitting a linear equation to observed data
polynomial regression - Answer✔️✔️-a regression model which does not assume a linear
relationship; a curvilinear correlation coefficient is computed (we can think of X and X-
squared as two different predicting variables)
three objectives in regression - Answer✔️✔️-1) Prediction
2) Modeling
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, 3) Testing hypothesis
Prediction - Answer✔️✔️-We want to see how the response variable behaves in different
settings. For example, for a different location, if we think about a geographic prediction,
or in time, if we think about temporal prediction
Modeling - Answer✔️✔️-modeling the relationship between the response variable and the
explanatory variables, or predicting variables
Testing hypotheses - Answer✔️✔️-of association relationships
useful representation of reality - Answer✔️✔️-We do not believe that the linear model
represents a true representation of reality. Rather, we think that, perhaps, it provides a
___
β0 - Answer✔️✔️-intercept parameter (the value at which the line intersects the y-axis)
β1 - Answer✔️✔️-slope parameter (slope of the line we are trying to fit)
epsilon (ε) - Answer✔️✔️-is the deviance of the data from the linear model
to find β0 and β1 - Answer✔️✔️-to find the line that describes a linear relationship, such
that we fit this model.
simple linear regression data structure - Answer✔️✔️-pairs of data consisting of a value
for the response variable,and a value for the predicting variable. And we have n such
pairs
modeling framework for the simple linear regression: - Answer✔️✔️-1) identifying data
structure
2) clearly stating the model assumptions
linear regression assumptions - Answer✔️✔️-1) linearity
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