z = x + iy
) z = r (cos + i sin
z = re i
y = Im z
x = Re z
z = x iy
y = Im z = 0 z = z
( z + z ) = Re z
z1 + z 2 = z1 + z 2
z1 z 2 = z1 z 2
( z z ) = Im z
z = x2 + y2
z = z
z = zz
z1 z 2 = z1 z 2
What is probability theory?
What are the chances that sales will decrease if we increase
What is the likelihood a new assembly method will increase
How likely is it that the project will be finished on
The idea of a confidence interval
The game: to estimate how many jellybeans are in the jar.
If you guessed in the range of 5 you win $50.
If you guessed in the range of 15 you win $20.
If you guessed in the range of 30
Multivariate Linear Regression
More than 1 independent variable
Build a regression model with all the independent variables
Check the significance of the entire regression line (F score)
Check the overall explained v
Interaction between categorical variables:
Chi Square test
Interactions between variables
Place of residence and employment
University and income
Investment in advertisement and sales
Types of interactions:
Cramers Phi (coeffic
What is statistics?
The arts and science of collecting, analyzing, presenting, and
Collection and organization
From the Latin word status state
Based on probabi
Simple Linear Regression
Very common in social sciences (econometrics).
Theoretical studies identifying, describing, and concluding
about the relationship between variables.
Applied studies prediction and forecastin
Analysis of Variance (ANOVA)
A test for comparing groups averages using the variances
of the means.
When we have more than 2 groups.
Comparable to an unpaired t-test but allows comparison of
more than 2 groups.
Examines the influen
Why do we need hypothesis testing?
Helps to come to a conclusion about the collected data.
Before making something new is it worth it?
When there are several alternatives which one is better
Testing competing hypotheses.
Drawing conclusions on a population based on sample data.
Deducing properties of an underlying distribution by analysis
Population and Sample
Use statistics to
What is a random variable?
A variable whose possible values are numerical outcomes of a
Can take on a set of possible different values, each with an
Its specific value is a-priori unkno
The Normal Distribution
Dan and Sara studied in the same field.
Dans average grade was 82
Saras average grade was 93
Who has better achievements?
Dan and Sara studied in different fields.
Dans average grade w
For more please visit www.paragoncreations.com/uni
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Holy Book Of Excel For Medical Students
Create chart with XY values. . 3
Create chart with XY values which are not side by side . 6
Where to find descriptive statistics. 10
How to set main chart title. . 14
Set the X axis title. . 17
Set the Y ax