MATH 447: Multivariate Statistics

Mathematics · 4 credits

Basics of statistical learning, cross-validation, penalized least squares, principal component analysis, classification algorithms, decision trees, and clustering algorithms. Extensive use of a computer statistical package.

Offered in 7 of the 26 listed terms (Spring 2021 to Spring 2027).

Catalog entry Browse Classes Textbooks (WWU Bookstore)

Prerequisites

MATH 204 and (MATH 342 or ECON 475)

Prerequisite tree

Each course's own prerequisites, down to the first courses in the chain.

MATH 204 Elementary Linear Algebra
requires MATH 125 or MATH 135 or MATH 138
- MATH 125 Calculus and Analytic Geometry II
  requires MATH 124 or MATH 134 or Calculus AB AP Exam (AP66), score 4 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 4
  - MATH 124 Calculus and Analytic Geometry I
    requires MPT - Advanced - Scaled Score, score 153 or MATH 115 or MATH 118 or Precalculus AP Exam (AP65), score 5 or Calculus BC AP Exam (AP68), score 3 or Calculus AB AP Exam (AP66), score 2 or Calc AB Subscore AP Exm (AP69), score 2 or Pre-Calculus 2 (PC2), score 2.30 or ALEKS Math Placement Assessmnt, score 80
    - MATH 115 Precalculus II
      requires MATH 114 or Precalculus AP Exam (AP65), score 4 or ALEKS Math Placement Assessmnt, score 65
      - MATH 114 Precalculus I
        requires MPT General - Scaled Score, score 153 or MPT - Advanced - Scaled Score, score 143 or ALEKS Math Placement Assessmnt, score 55 or MATH 112 or Precalculus AP Exam (AP65), score 3 or College Algebra (CA), score 1.70 or Pre-Calculus 1 (PC1), score 1.70
        MATH 112 Functions and Algebraic Methods
        requires MPT - Advanced - Scaled Score, score 143 or MATH 099 (minimum grade YP) or College Algebra (CA), score 1.70 or Intermediate Algebra (IA), score 1.70 or MPT General - Scaled Score, score 148 or ALEKS Math Placement Assessmnt, score 35 or Precalculus AP Exam (AP65), score 2 or MATH 197C (minimum grade S) or MATH 109 (minimum grade S) (continues on its page)
    - MATH 118 Accelerated Precalculus
      requires MPT General - Scaled Score, score 158 or MPT - Advanced - Scaled Score, score 149 or Precalculus AP Exam (AP65), score 4 or Calculus AB AP Exam (AP66), score 2 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2 or ALEKS Math Placement Assessmnt, score 70
  - MATH 134 Calculus I Honors
    requires MATH 115 (minimum grade A) or MATH 118 (minimum grade A) or Math Placement - Advanced 2, score 20 or Precalculus AP Exam (AP65), score 5
    - MATH 115 Precalculus II (shown above)
    - MATH 118 Accelerated Precalculus (shown above)
- MATH 135 Calculus II Honors
- MATH 138 Accelerated Calculus
  requires Calculus AB AP Exam (AP66), score 4 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 4 or (Calculus BC AP Exam (AP68), score 2 and Calc AB Subscore AP Exm (AP69), score 3)
MATH 342 Statistical Methods I
requires (MATH 341 or MATH 344 or MATH 345 or MATH 346 or EECE 346) and MATH 204
- MATH 341 Probability and Statistical Inference
  requires MATH 125 or MATH 135 or MATH 138
  - MATH 125 Calculus and Analytic Geometry II (shown above)
  - MATH 135 Calculus II Honors (shown above)
  - MATH 138 Accelerated Calculus (shown above)
- MATH 344 Honors Probability and Statistics
  requires MATH 138 and MATH 125 and MATH 135
  - MATH 138 Accelerated Calculus (shown above)
  - MATH 125 Calculus and Analytic Geometry II (shown above)
  - MATH 135 Calculus II Honors (shown above)
- MATH 345 Statistics for Engineering
  requires (MATH 125 or MATH 135 or MATH 138)
  - MATH 125 Calculus and Analytic Geometry II (shown above)
  - MATH 135 Calculus II Honors (shown above)
  - MATH 138 Accelerated Calculus (shown above)
- MATH 346 Probability and Statistics for Electrical and Computer Engineering
  requires MATH 204 and (MATH 224 or MATH 225) and EECE 310
  - MATH 204 Elementary Linear Algebra (shown above)
  - MATH 224 Multivariable Calculus and Geometry I
    requires MATH 125 or MATH 135 or MATH 138 or Calculus AB AP Exam (AP66), score 5 or Calculus BC AP Exam (AP68), score 4 or Calc AB Subscore AP Exm (AP69), score 5
    - MATH 125 Calculus and Analytic Geometry II (shown above)
    - MATH 135 Calculus II Honors (shown above)
    - MATH 138 Accelerated Calculus (shown above)
  - MATH 225 Multivariable Calculus and Geometry II
    requires MATH 224
    - MATH 224 Multivariable Calculus and Geometry I (shown above)
  - EECE 310 Continuous Systems
    requires (MATH 331 or MATH 321) and (MATH 224 or MATH 225) and (Electrical Engineerng OBSOLETE 210 or EECE 210 or Engineering Tech OBSOLETE 371)
    - MATH 331 Ordinary Differential Equations
      requires MATH 204
      - MATH 204 Elementary Linear Algebra (shown above)
    - MATH 224 Multivariable Calculus and Geometry I (shown above)
    - MATH 225 Multivariable Calculus and Geometry II (shown above)
    - EECE 210 Circuit Analysis II
      requires MATH 204 and (EECE 111 or Electrical Engineerng OBSOLETE 111 or Engineering Tech OBSOLETE 271)
      - MATH 204 Elementary Linear Algebra (shown above)
      - EECE 111 Circuit Analysis I
        requires (MATH 125 or MATH 135 or MATH 138) and PHYS 162
        MATH 125 Calculus and Analytic Geometry II (shown above)
        MATH 135 Calculus II Honors (shown above)
        MATH 138 Accelerated Calculus (shown above)
        PHYS 162 Physics with Calculus II
        requires (PHYS 161 or HNRS 211) and ((MATH 124 and MATH 125) or (MATH 134 and MATH 135) or MATH 138) (continues on its page)
- EECE 346 Probability and Statistics for Electrical and Computer Engineering
  requires MATH 204 and (MATH 224 or MATH 225) and EECE 310
  - MATH 204 Elementary Linear Algebra (shown above)
  - MATH 224 Multivariable Calculus and Geometry I (shown above)
  - MATH 225 Multivariable Calculus and Geometry II (shown above)
  - EECE 310 Continuous Systems (shown above)
- MATH 204 Elementary Linear Algebra (shown above)
ECON 475 Econometrics
requires (ECON 306 or ECON 307) and (ECON 375 or MATH 342 or MATH 442)
- ECON 306 Intermediate Microeconomics
  requires (ECON 206 or HNRS 209 or HNRS 254 or HNRS 202) and (MATH 124 or MATH 157 or MATH 125 or MATH 134 or MATH 135 or MATH 138 or MATH 224 or MATH 225 or Calculus AB AP Exam (AP66), score 3 or Statistics AP Exam, score 3 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 3)
  - ECON 206 Introduction to Microeconomics
    requires MATH 112 or MATH 114 or MATH 115 or MATH 124 or MATH 118 or MATH 156 or MATH 157 or MATH 125 or MATH 134 or MATH 135 or MATH 138 or MPT - Advanced - Scaled Score, score 143 or MPT General - Scaled Score, score 153 or Precalculus AP Exam (AP65), score 3 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2 or Calculus AB AP Exam (AP66), score 2 or Pre-Calculus 2 (PC2), score 1.70 or Pre-Calculus (PC), score 1.70 or Pre-Calculus 1 (PC1), score 1.70 or College Algebra (CA), score 1.70 or ALEKS Math Placement Assessmnt, score 55
    - MATH 112 Functions and Algebraic Methods
      requires MPT - Advanced - Scaled Score, score 143 or MATH 099 (minimum grade YP) or College Algebra (CA), score 1.70 or Intermediate Algebra (IA), score 1.70 or MPT General - Scaled Score, score 148 or ALEKS Math Placement Assessmnt, score 35 or Precalculus AP Exam (AP65), score 2 or MATH 197C (minimum grade S) or MATH 109 (minimum grade S)
      - MATH 099 Introductory Algebra
        requires ALEKS Math Placement Assessmnt, score 1
      - MATH 197C Support Topics for Functions and Algebraic Methods
        requires ALEKS Math Placement Assessmnt, score 30
      - MATH 109 Support for Functions and Algebraic Methods
        requires ALEKS Math Placement Assessmnt, score 30
    - MATH 114 Precalculus I
      requires MPT General - Scaled Score, score 153 or MPT - Advanced - Scaled Score, score 143 or ALEKS Math Placement Assessmnt, score 55 or MATH 112 or Precalculus AP Exam (AP65), score 3 or College Algebra (CA), score 1.70 or Pre-Calculus 1 (PC1), score 1.70
      - MATH 112 Functions and Algebraic Methods (shown above)
    - MATH 115 Precalculus II (shown above)
    - MATH 124 Calculus and Analytic Geometry I (shown above)
    - MATH 118 Accelerated Precalculus (shown above)
    - MATH 156 Algebra With Applications to Business and Economics
      requires MPT General - Scaled Score, score 152 or MPT - Advanced - Scaled Score, score 143 or ALEKS Math Placement Assessmnt, score 55 or Precalculus AP Exam (AP65), score 3 or College Algebra (CA), score 1.70 or Pre-Calculus 1 (PC1), score 1.70 or MATH 112
      - MATH 112 Functions and Algebraic Methods (shown above)
    - MATH 157 Calculus with Applications to Business and Economics
      requires MPT - Advanced - Scaled Score, score 148 or MATH 156 or MATH 114 or MATH 118 or Pre-Calculus 2 (PC2), score 2.30 or ALEKS Math Placement Assessmnt, score 65 or Pre-Calculus 1 (PC1), score 2.3 or Pre-Calculus (PC), score 2.3 or Precalculus AP Exam (AP65), score 4 or Calculus AB AP Exam (AP66), score 2 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2
      - MATH 156 Algebra With Applications to Business and Economics (shown above)
      - MATH 114 Precalculus I (shown above)
      - MATH 118 Accelerated Precalculus (shown above)
    - MATH 125 Calculus and Analytic Geometry II (shown above)
    - MATH 134 Calculus I Honors (shown above)
    - MATH 135 Calculus II Honors (shown above)
    - MATH 138 Accelerated Calculus (shown above)
  - HNRS 209 Colloquium in Microeconomics
    requires MATH 112 or MATH 114 or MATH 115 or MATH 118 or MATH 124 or MATH 125 or MATH 134 or MATH 135 or MATH 138 or MATH 156 or MATH 157 or MPT - Advanced - Scaled Score, score 143 or MPT General - Scaled Score, score 153 or Precalculus AP Exam (AP65), score 3 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2 or Calculus AB AP Exam (AP66), score 2 or Pre-Calculus (PC), score 1.70 or Pre-Calculus 1 (PC1), score 1.70 or Pre-Calculus 2 (PC2), score 1.70 or College Algebra (CA), score 1.70 or ALEKS Math Placement Assessmnt, score 55
    - MATH 112 Functions and Algebraic Methods (shown above)
    - MATH 114 Precalculus I (shown above)
    - MATH 115 Precalculus II (shown above)
    - MATH 118 Accelerated Precalculus (shown above)
    - MATH 124 Calculus and Analytic Geometry I (shown above)
    - MATH 125 Calculus and Analytic Geometry II (shown above)
    - MATH 134 Calculus I Honors (shown above)
    - MATH 135 Calculus II Honors (shown above)
    - MATH 138 Accelerated Calculus (shown above)
    - MATH 156 Algebra With Applications to Business and Economics (shown above)
    - MATH 157 Calculus with Applications to Business and Economics (shown above)
  - HNRS 202 Colloquium in Literary Studies
  - MATH 124 Calculus and Analytic Geometry I (shown above)
  - MATH 157 Calculus with Applications to Business and Economics
    requires MPT - Advanced - Scaled Score, score 148 or MATH 156 or MATH 114 or MATH 118 or Pre-Calculus 2 (PC2), score 2.30 or ALEKS Math Placement Assessmnt, score 65 or Pre-Calculus 1 (PC1), score 2.3 or Pre-Calculus (PC), score 2.3 or Precalculus AP Exam (AP65), score 4 or Calculus AB AP Exam (AP66), score 2 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2
    - MATH 156 Algebra With Applications to Business and Economics (shown above)
    - MATH 114 Precalculus I (shown above)
    - MATH 118 Accelerated Precalculus (shown above)
  - MATH 125 Calculus and Analytic Geometry II (shown above)
  - MATH 134 Calculus I Honors (shown above)
  - MATH 135 Calculus II Honors (shown above)
  - MATH 138 Accelerated Calculus (shown above)
  - MATH 224 Multivariable Calculus and Geometry I (shown above)
  - MATH 225 Multivariable Calculus and Geometry II (shown above)
- ECON 307 Intermediate Macroeconomics
  requires (ECON 207 or HNRS 254 or HNRS 202) and (MATH 124 or MATH 157 or MATH 135 or MATH 125 or MATH 134 or MATH 138 or MATH 224 or MATH 225 or Calculus AB AP Exam (AP66), score 3 or Statistics AP Exam, score 3 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 3)
  - ECON 207 Introduction to Macroeconomics
    requires (ECON 206 or HNRS 209 or ECON 446 or ECON 101) and (MATH 112 or MATH 114 or MATH 115 or MATH 124 or MATH 118 or MATH 156 or MATH 157 or MATH 125 or MATH 134 or MATH 135 or MATH 138 or MPT - Advanced - Scaled Score, score 143 or MPT General - Scaled Score, score 153 or Precalculus AP Exam (AP65), score 3 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2 or Calculus AB AP Exam (AP66), score 2 or Pre-Calculus 2 (PC2), score 1.70 or Pre-Calculus (PC), score 1.70 or Pre-Calculus 1 (PC1), score 1.70 or College Algebra (CA), score 1.70 or ALEKS Math Placement Assessmnt, score 55)
    - ECON 206 Introduction to Microeconomics (shown above)
    - HNRS 209 Colloquium in Microeconomics (shown above)
    - ECON 446 Economics for the Teacher
    - ECON 101 Markets and Society
    - MATH 112 Functions and Algebraic Methods (shown above)
    - MATH 114 Precalculus I (shown above)
    - MATH 115 Precalculus II (shown above)
    - MATH 124 Calculus and Analytic Geometry I (shown above)
    - MATH 118 Accelerated Precalculus (shown above)
    - MATH 156 Algebra With Applications to Business and Economics (shown above)
    - MATH 157 Calculus with Applications to Business and Economics (shown above)
    - MATH 125 Calculus and Analytic Geometry II (shown above)
    - MATH 134 Calculus I Honors (shown above)
    - MATH 135 Calculus II Honors (shown above)
    - MATH 138 Accelerated Calculus (shown above)
  - HNRS 202 Colloquium in Literary Studies (shown above)
  - MATH 124 Calculus and Analytic Geometry I (shown above)
  - MATH 157 Calculus with Applications to Business and Economics (shown above)
  - MATH 135 Calculus II Honors (shown above)
  - MATH 125 Calculus and Analytic Geometry II (shown above)
  - MATH 134 Calculus I Honors (shown above)
  - MATH 138 Accelerated Calculus (shown above)
  - MATH 224 Multivariable Calculus and Geometry I (shown above)
  - MATH 225 Multivariable Calculus and Geometry II (shown above)
- ECON 375 Introduction to Econometrics
  requires (ECON 206 and ECON 207) or (HNRS 209 and ECON 207) or (HNRS 254 or HNRS 202) and (MATH 240 or MATH 341 or MATH 344 or DSCI 205) and (MATH 124 or MATH 157 or MATH 125 or MATH 135 or MATH 138 or MATH 224 or MATH 225 or Statistics AP Exam, score 3 or Calculus AB AP Exam (AP66), score 3 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 3)
  - ECON 206 Introduction to Microeconomics (shown above)
  - ECON 207 Introduction to Macroeconomics (shown above)
  - HNRS 209 Colloquium in Microeconomics (shown above)
  - ECON 207 Introduction to Macroeconomics (shown above)
  - HNRS 202 Colloquium in Literary Studies (shown above)
  - MATH 240 Introduction to Statistics
    requires MATH 112 or MPT - Advanced - Scaled Score, score 143 or MPT General - Scaled Score, score 147 or Precalculus AP Exam (AP65), score 2 or Calculus BC AP Exam (AP68), score 2 or Calculus AB AP Exam (AP66), score 2 or Calc AB Subscore AP Exm (AP69), score 2 or Pre-Calculus 1 (PC1), score 1.70 or Pre-Calculus 2 (PC2), score 1.70 or ALEKS Math Placement Assessmnt, score 35 or College Algebra (CA), score 1.70
    - MATH 112 Functions and Algebraic Methods (shown above)
  - MATH 341 Probability and Statistical Inference (shown above)
  - MATH 344 Honors Probability and Statistics (shown above)
  - DSCI 205 Business Statistics
    requires MATH 156 or MATH 114 or MATH 118 or MATH 124 or MATH 138 or MATH 157 or Precalculus AP Exam (AP65), score 4 or Calculus AB AP Exam (AP66), score 2 or Calculus BC AP Exam (AP68), score 3 or MPT - Advanced - Scaled Score, score 148 or Pre-Calculus 1 (PC1), score 1.70 or Calc AB Subscore AP Exm (AP69), score 2 or Pre-Calculus (PC), score 1.70 or Pre-Calculus 2 (PC2), score 1.70 or ALEKS Math Placement Assessmnt, score 65
    - MATH 156 Algebra With Applications to Business and Economics (shown above)
    - MATH 114 Precalculus I (shown above)
    - MATH 118 Accelerated Precalculus (shown above)
    - MATH 124 Calculus and Analytic Geometry I (shown above)
    - MATH 138 Accelerated Calculus (shown above)
    - MATH 157 Calculus with Applications to Business and Economics (shown above)
  - MATH 124 Calculus and Analytic Geometry I (shown above)
  - MATH 157 Calculus with Applications to Business and Economics (shown above)
  - MATH 125 Calculus and Analytic Geometry II (shown above)
  - MATH 135 Calculus II Honors (shown above)
  - MATH 138 Accelerated Calculus (shown above)
  - MATH 224 Multivariable Calculus and Geometry I (shown above)
  - MATH 225 Multivariable Calculus and Geometry II (shown above)
- MATH 342 Statistical Methods I (shown above)
- MATH 442 Mathematical Statistics
  requires MATH 441
  - MATH 441 Probability
    requires MATH 204 and (MATH 224 or MATH 225) and (MATH 302 or MATH 309) and MATH 226
    - MATH 204 Elementary Linear Algebra (shown above)
    - MATH 224 Multivariable Calculus and Geometry I (shown above)
    - MATH 225 Multivariable Calculus and Geometry II (shown above)
    - MATH 302 Introduction to Proofs Via Number Theory
      requires MATH 125 or MATH 135 or MATH 138
      - MATH 125 Calculus and Analytic Geometry II (shown above)
      - MATH 135 Calculus II Honors (shown above)
      - MATH 138 Accelerated Calculus (shown above)
    - MATH 309 Introduction to Proof in Discrete Mathematics
    - MATH 226 Limits and Infinite Series
      requires MATH 125 or MATH 135 or MATH 138
      - MATH 125 Calculus and Analytic Geometry II (shown above)
      - MATH 135 Calculus II Honors (shown above)
      - MATH 138 Accelerated Calculus (shown above)

From Banner's catalog for Spring 2027. Banner lists only the requisites it enforces, so check the catalog entry too.

Required by (0)

No course lists it as a prerequisite.

Syllabi and course websites

None listed yet.

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Instructors

Instructor	Sections	Terms
Noguchi, Kimihiro	7	Spring 2021 to Spring 2027

Every offering in the listed terms (7 sections)

Term	CRN	Type	Meets	Instructor	Enrolled	Delivery
Spring 2027	21586	Lecture	MTRF 10:00am-10:50am · HH 233	Noguchi, Kimihiro	0/35	Face to Face Instruction
Spring 2026	21771	Lecture	MTRF 10:00am-10:50am · HH 233	Noguchi, Kimihiro	27/20	Face to Face Instruction
Spring 2025	21965	Lecture	MTRF 1:00pm-1:50pm · HH 233	Noguchi, Kimihiro	18/35	Face to Face Instruction
Spring 2024	22379	Lecture	MTRF 3:00pm-3:50pm · HH 233	Noguchi, Kimihiro	27/35	Face to Face Instruction
Spring 2023	22671	Lecture	MTRF 11:00am-11:50am · HH 233	Noguchi, Kimihiro	16/35	Face to Face Instruction
Spring 2022	23104	Lecture	TBA · ONLINE ASNC	Noguchi, Kimihiro	14/35	Distance Instr-OnLine
Spring 2021	23680	Lecture	TBA · REMOTE ASNC	Noguchi, Kimihiro	22/35	Face to Face Instruction