Time Series - ANSWER: ➡ when we collect data over time to determine patterns for future
o o o oo o o o o o o o o o o o
outcomes
o
ex: Daily, weekly, monthly, quarterly, yearly.
o o o o o
Multiple Regression Models (for time series) - ANSWER: ➡ 'Predicting' a quantitative
o o o o o o o oo o o o
response based on multiple inputs of quantitative variables
o o o o o o o o
(and possible categorical = indicator variable, or variables multiplied = interaction terms)
o o o o o o o o o o o
Additive - used for simple linear model.
o o o o o o
Exponential - logarithm is taken o o o o
Quarters - adding indicator variables
o o o o
Random walks - ANSWER: ➡ the best prediction is the most recent point.
o o o oo o o o o o o o o
Moving averages - ANSWER: ➡ • creates a time series by averaging adjacent values.
o o o oo o o o o o o o o o
MA(L) = Sum of L consecutive series values)/L
o o o o o o o
• Longer periods have MA that respond slower, while shorter periods respond faster
o o o o o o o o o o o o
• Predicting the next unknown value in the time series is equal to the last predicted value.
o o o o o o o o o o o o o o o o
Simple Exponential Smoothing - ANSWER: ➡ Effective technique if time series shows little or
o o o o oo o o o o o o o o
no trend and no seasonal variation.
o o o o o o
Simple Exponential Smoothing [Equation] - ANSWER: ➡ Equation is "~yt"=alpha"y"t + (1-
o o o o o oo o o o o o
alpha) "~yt-l" o o
, --> alpha is the smoothing constant which is typically between 0 and 1
o o o o o o o o o o o o
--> The closer alpha is to 1 the more weight is given to the more recent value and will 'react'
o o o o o o o o o o o o o o o o o o o
faster to irregular components.
o o o o
--> The closer alpha is to 0 the more weight is given to the historic value and will 'react' slower
o o o o o o o o o o o o o o o o o o o
and be more of a stable time series.
o o o o o o o o
--> Predicting the next unknown value in the time series is equal to the last predicted value.
o o o o o o o o o o o o o o o o
MAPE - ANSWER: ➡ how much error there is proportional to the original value
o o oo o o o o o o o o o o o
[Mean Absolute Percentage Error]
o o o
Auto regressive Model - ANSWER: ➡ uses regression by using lagged variables. Each lag will
o o o o oo o o o o o o o o o
move all the data forward a
o o o o o o
time period. Is a good model when you have seasonal components.
o o o o o o o o o o
Auto regressive Model [equation] - ANSWER: ➡ "~y"= b0 + b1(lag1) + b2(lag2) +...+ bp(lag
o o o o o oo o o o o o o o o
p)
o
Observational Studies - ANSWER: ➡ researchers do not try to change or manipulate anything,
o o o oo o o o o o o o o o
just observe.
o o
[You can find an association, but not causation]
o o o o o o o
Experiments - ANSWER: ➡ A design in which the treatments are being actively imposed on
o o oo o o o o o o o o o o o
the experimental units.
o o o
Explanatory variables (factors) - ANSWER: ➡ - The variables that we suspect affect the
o o o o oo o o o o o o o o
response variable.
o o
Levels - ANSWER: ➡ The ______ are the subcategories of the factors.
o o oo o o o o o o o o
Treatments - ANSWER: ➡ the combination of factors and levels
o o oo o o o o o o
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