Identify, classify, and operate on key business-related mathematical functions. Use multivariable differential calculus to analyze business margins and solve business optimization problems. Understand multiple regression, ordinary least squares estimation, inference based on OLS. Apply multiple regression for descriptive, predictive, and causal analyses related to business decision-making.
Athena Title
Optimiz and Applied Reg Analy
Equivalent Courses
Not open to students with credit in BUSN 4000, BUSN 4000H
Non-Traditional Format
This course will be taught 95% or more online.
Prerequisite
MSIT 3000 or MSIT 3000E or MSIT 3000H or BUSN 3000 or BUSN 3000E or BUSN 3000H
Grading System
A - F (Traditional)
Student Learning Outcomes
A student who completes this class will be able to identify, classify, and operate on key business-related functions such as linear, polynomial, exponential, and logarithmic, and determine where functions increase or decrease, find extrema, and analyze curvature using first and second derivatives.
A student who completes this class will be able to use multivariable differential calculus to analyze business margins and solve business optimization problems.
A student who completes this class will be able to construct the OLS estimator of a slope coefficient in a multiple regression model and assess model fit.
A student who completes this class will be able to formulate the sampling distribution of the OLS estimator and use it to construct confidence intervals, conduct hypothesis tests, and interpret regression results in terms of their statistical and practical significance.
A student who completes this class will be able to interpret estimated coefficients of categorical and log transformed variables and use polynomials to model nonlinear relationships and interactions to model heterogeneity.
A student who completes this class will be able to evaluate the consequences of confounders and measurement error.
A student who completes this class will be able to use regression for causal inference and prediction and employ regression to aid business decision-making.
Topical Outline
Identify, classify, and operate on key business-related mathematical functions, determine where they increase or decrease, find extrema, and analyze curvature using first and second derivatives.
Use multivariable differential calculus to analyze business margins and solve business optimization problems
Multiple regression, OLS estimation, and residualization
R-squared and fit
Sampling distribution of the OLS estimator
Confidence intervals, t tests, and F tests
Categorical and log transformed data
Polynomials and interactions
Confounding and measurement error
Regression for causal inference and prediction
Institutional Competencies
Analytical Thinking
The ability to reason, interpret, analyze, and solve problems from a wide array of authentic contexts.
