Bivariate Data Visualization:
Dependant variable (Interest)
Which of the two variables below is dependent variable?
Age of borrower vs interest charged
Interests varies depending on risk variability (Credit score)
Which statement makes sense?
1. The age o
Chai Square:
1. Find the two variables
2. Select the entire data range
3. Insert>Pivot table> dependent variable = row, values
Independent > Column
4. Eliminate the unanswered or blank cells by arrow down the computer and department
5. Group the categorie
no. of
success
unsuccess
Total Result
Data
Sum - 1 Sum - total Sum - 2 Sum - 3
133
415
135
147
23
118
45
50
156
533
180
197
no. of
success
unsuccess
Total Result
Data
Sum - 1 Sum - 2 Sum - 3
133
135
23
45
156
180
147
50
197
observed
Row Labels
success
uns
PERCENTILE: P50= Array: data K: 0 to 1, here 0.5
(10th percentile, P10)
QUARTILE:
Q0 = P0 Array: data K: 0 to 4 (1st quartile, Q1)
Q1 = P25
Q2 = P50
Q3 = P75
Q4 = P100
PERCENT RANK: Array: data
X: No. for which you want to know the rank
Convert into % aft
CHAPTER 1
1. A company has three divisions and three conference rooms for meetings. To keep track
of the use of their facilities, for each meeting held in the company, the division holding
the meeting is recorded, the room for the meeting is recorded, and
2. I collect a random sample of size n from a population and from the data collected
compute a 95% confidence interval for the mean of the population. Which approach
would produce a new confidence interval with smaller width (smaller margin of error)
base
Math 10000D: Business Calculus and Algebra
Applications of Linear Functions (Section 3.3)
Cost
Analysis
Rates of
Change
Break Even
Analysis
Supply &
Demand
Cost Analysis
1. Avis car rental charges $75 per day for a mid-sized car and 32 per km. If x repres
Math 10000D: Business Calculus and Algebra
Applications of the Derivative (Section 12.1)
Example 1: Maxima and Minima and the First Derivative Test
Revenue (in billions of dollars) from sales at Office Depot can be approximated by
(2 11)
() = 0.19 2 + 2.4
Math 10000D: Business Calculus and Algebra
Section 12.3 Absolute Maxima and Minima
Extreme Value Theorem
If a function f is continuous on a closed interval [a,b], then f has an absolute maximum and an absolute
minimum on the interval. Each of these values
Math 10000D: Business Calculus and Algebra
Review of Algebra and Equations
Part 1 polynomials and rational expressions
A manufacturer of scientific calculators sells calculators for $12 each (wholesale) and can produce a
maximum of 150,000. The variable c
Math 10000D: Business Calculus and Algebra
Setting up Systems of Equations Applications (Section 6.1)
Example
A special showing of Disney on Ice offers tickets priced at $78 for adults and $43 for children. If 5000 seats
are available and total revenue fr
Introduction to Partial Derivatives
Functions of more than one variable
Partial Derivatives
P ( x , y )=40 x 210 xy +5 y 280
Example 1:
f ( x , y ) =4 x 29 xy +6 y 2
Example 2:
f ( x , y ) =e x +e y + e5 x + e xy
Example 3:
3
f ( x , y ) =8 y e2 x +3 y
Ex
Math 10000D: Business Calculus and Algebra
Applications of Derivatives (Chapter 11)
Marginal Analysis (Cost, Revenue, and Profit) Section 11.5
What do you remember?
Suppose the cost of producing x items is given by C(x) = 2x + 3500 (a linear function)
Wha
Math 10000D: Business Calculus and Algebra
Ch. 3 Applications of Linear and Quadratic functions
Cost
Analysis
Rates of
Change
Break
Even
Analysis
Supply
&
Demand
1. Solve applications involving rates of change.
The manager of a restaurant found that the c
Statistics Definitions
Data are collections of observations, such as measurements, genders, or survey responses
Statistics is the science of planning studies and experiments obtaining data then organizing,
summarizing, planning, analyzing, and interpretin
Math 10000D: Business Calculus and Algebra
Review of Algebra and Equations
1. Polynomials and rational expressions
A manufacturer of scientific calculators sells calculators for $12 each (wholesale) and can
produce a maximum of 150,000 calculators. The va
Math 10000D: Week 2 Pre-work
What does a function do?
It assigns a single number to each number in its domain, using a specific rule.
Function
f(x)
Function
f(x)
Functions are used every day
Example: Suppose a medium coffee in a coffee shop is $2 (includi
Math 10000D: Week 3 Pre-work
Exponential and Logarithmic Functions
Compare f(x) = 2x and f(x) = 2x
Logarithmic Functions
Exponential Growth
The variable is the exponent
f(x) = bx with b > 1
The graph is above the x-axis
The y-intercept is 1
The graph clim
Human Resource
Management 1
Fall 2015
WEEKS 10 & 11:
Monday Class: Nov 16th & 23rd, 2015
Thursday Class: Nov 19th & 26th, 2015
Selection
1
Course Administration
Weekly Review Quiz (Week 9)
Assignment #2 - this week Job ad approval activity is due
Final
Human Resource
Management 1
FALL 2015
Monday November 30th & Thursday December 3, 2015
WEEK 12
Performance Management
1
Course Administration
Today: Assignment #2 DUE Date
we will review assignment results next week
One item re reference checking
Soc
Cost Behaviour
Exercise 3-1 Modified (Cost Behaviour)
GD Smoothie operates a smoothie bar in a local mall.
Fixed expense for the store =
$2,500 per week
Variable cost per smoothie =
$1.25
Answer the following questions for the store operations assuming
th
FIRST DERIVATIVE
1. Increasing or Decreasing
- If f(x) is positive, then the function is increasing
- If f(x) is negative, then the function is deceasing
2. Using First Derivative Test to find Relative Maxima and Minima
- Relative extrema occur at critica
Finding Max/Min using Lagrange Multipliers
Generally:
Find the max/min of
Subject to a constraint,
f (x, y, z)
g (x, y, z) = k
Form:
F (x, y, z, ) = f (x, y, z) (g (x, y, z) k)
Solve:
Fx = 0
Fy = 0
Fz = 0
F = 0
Solve solutions back into f (x, y, z)
Exampl
Chapter 2
=CORREL(array1, array2)
To find the correlation factor
Chapter 3
To find the mean (average)
=AVERAGE(dataset)
To find the median
=MEDIAN(dataset)
To find the mode
=MODE.SNGL(dataset)
To find multiple modes
=MODE.MULT(dataset)
To find variance (s
Null and Alternative Hypotheses:
CHAPTER 9: Inferences from two samples
When you are comparing two proportions:
H0: p1 = p2
HA: p1 =/ p2, p1 > p2, p1 < p2
When comparing means of two independent samples:
H0: m1 = m2
HA: m1 =/ m2, m1 > m2, m1 < m2
When com