Math 32
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35: Introduction to Machine Learning (2)
Goal
: overview of some machine learning techniques
May 1, 2023
Derek Sollberger
34: Introduction to Machine Learning
Goal
: introduce machine learning (ideas and terminology)
Apr 28, 2023
Derek Sollberger
Confidence Intervals
Among pennies in circulation in 2019, what was the average year of minting? We have a sample size of 50 pennies.
Apr 21, 2023
Derek Sollberger
30: Regression Analysis
Goal
: Discuss the validity of regression models
Apr 19, 2023
Derek Sollberger
29: Linear Regression
Goal
: Summarize bivariate data
Apr 17, 2023
Derek Sollberger
28: Beta Distribution
Goal
: Explore a distribution of proportions
Apr 14, 2023
Derek Sollberger
27: Maximum Likelihood
Goal
: Modify distribution parameters based on observed data
Apr 12, 2023
Derek Sollberger
26: Likelihood
Recall,
Apr 7, 2023
Derek Sollberger
25: Central Limit Theorem
Goal
: Consolidate our understanding of variance
Apr 5, 2023
Derek Sollberger
24: Estimators
Goal
: Explore generalization from samples to populations
Mar 21, 2023
Derek Sollberger
23: Law of Large Numbers
Goal
: start to understand error as it relates to sample size
Mar 20, 2023
Derek Sollberger
22: Poisson Process
Goal
: Derive distribution of number of arrivals
Mar 17, 2023
Derek Sollberger
21: Change of Variables
Let
F
be the…
Mar 15, 2023
Derek Sollberger
20: Correlation
We will once again visualize the act of ordering food at In-n-Out.
Mar 13, 2023
Derek Sollberger
19: Covariance
We will once again visualize the act of ordering food at In-n-Out.
Mar 8, 2023
Derek Sollberger
18: Linear Operators
\[{\col…
Mar 6, 2023
Derek Sollberger
17: Continuous Joint Distributions
The joint probability density function
f
(
x
,
y
)
to handle simultaneous calculations of random variables
X
and
Y
can be expressed as
Mar 3, 2023
Derek Sollberger
16: Discrete Joint Distributions
The joint probability mass function (joint PMF) to handle simultaneous calculations of random variables
X
and
Y
can be expressed as
Feb 27, 2023
Derek Sollberger
15: Normal Distribution
Let us start with the mother function
y
=
e
−
x
2
Feb 24, 2023
Derek Sollberger
14: Exponential Distribution
The inclusive versus exclusive variation in inequalities matter in discrete probability distributions. With a random variable
X
defined over a support of
\(k =…
Feb 22, 2023
Derek Sollberger
13: Continuous Distributions
You arrive at a bus stop at 10 o’clock, knowing that the bus will arrive at some time uniformly distributed between 10:00 and 10:30.
Feb 15, 2023
Derek Sollberger
12: Geometric Distribution
Here let us assume an
endless
box of chocolates with random selection with replacement of
Feb 13, 2023
Derek Sollberger
11: Cumulative Computation
Last time, we developed the
probability mass function
for the binomial distribution. The probability of choosing
k
observations among a sample size of
n
, each observation with…
Feb 10, 2023
Derek Sollberger
10: Binomial Distribution
To continue our exploration of discrete distributions, we will look at situations that have two disjoint possibilities.
Feb 8, 2023
Derek Sollberger
09: Expectation
Suppose that all of the students in Math 32 are between ages 19 and 21 inclusively with the following distribution:
Feb 6, 2023
Derek Sollberger
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