MA 253
Final Exam Student Answer Sheet
Name:
Jesse Chase
1A
2D
3A
4D
5A
6D
7B
8C
9B
10 C
11 D
12 B
13 D
14 A
15 A
16 A
17 B
18 A
19 A
20 B
21 A
22 D
23 C
24 D
25 D
Standard 11
Writing Exponential form to Logarithmic
form
First we must learn how to read logarithmic form:
The expression log b y is read as log of base b of y
Examples:
log 5 125
log of base 5 of 125
Trigonometry
Pythagoras Theorem
a2 + b2 = c2
where c is the hypotenuse while a
and b are the lengths of the other two
sides.
c
a
b
Trigo Ratios of Acute angles
P
hypotenuse
opposite
O
adjacent
Q
Hypot
Topic 3 :Linear
Functions
Vocabulary:
Linear Function: a function of the form y =
mx + b such as y = 2x + 1. The graph of a
linear function is a line.
Function Notation: by naming a function
f, you c
Topic 5:Polynomials
Polynomials
A polynomial is an expression that has one
or more variables and constants (numbers),
using the operations of addition, subtraction,
multiplication, and positive whole
Topic 2 : Relations
and Functions
Prepared by Jess Tan
1
A relation is a set of ordered pairs.
The domain is the set of all x values in the relation
domain = cfw_-1,0,2,4,9
These are the x values writ
Trigonometry
Pythagoras Theorem
a2 + b2 = c2
where c is the hypotenuse while a
and b are the lengths of the other two
sides.
c
a
b
Trigo Ratios of Acute angles
P
hypotenuse
opposite
O
adjacent
Q
Hypot
Topic 9 : Basic Concepts of
Probability
Probability
Experiments
A probability experiment is an action through which
specific results (counts, measurements or responses)
are obtained.
Example:
Rolling
Topic 8 :Statistics
Prepared by Jess Tan.
1
Measures of Central Tendency:
Ungrouped Data
Measures of central tendency yield information about
particular places or locations in a group of
numbers.
Com
Topic 1 : Revision
and Advanced
Theories
1
A Quick Recap
Multiply out the brackets in (x + 5)(x 3)
Grid
x
+5
x
x2
+5x
-3
-3x
-15
= x2 + 5x - 3x 15
= x2 + 2x 15
2
A Quick Recap
Using either method ca
Topic 4 :Quadratic
Functions
Quadratic Functions
y
The graph of a quadratic function
is a parabola.
Vertex
A parabola can open up or down.
If the parabola opens up, the
lowest point is called the vert
Thomas Euriga
There are four principal assumptions which justify the use of linear regression models:
Linearity and additivity of the relationship between dependent and independent variables
1. The ex
Thomas Euriga
Chapter 13 p. 609 #4
250
200
150
100
50
0
50
a.
b.
c.
d.
e.
f.
g.
100
150
200
250
B1 = .8357 b0 = 17.2366
Ha: P = 0, Ho: P does not = 0, Ho: P>a Yes there is evidence of linear relations
Weekly and hourly earnings data from the Current Population Survey
Original Data Value
Series Id:
LEU0254524600
Not Seasonally Adjusted
Series title:
(unadj)- Median usual weekly earnings (second quar
Thomas Euriga
Chapter 12
p. 547 #14
P < or = to .80
P > .80
a. 54 / 65 = .831
(.831 - .80) / .80 * (1-.80) / 65 = .62
P Value = 0.2676
b. .2676 > .05 = Fail to reject
p. 551 #6
p1 > or = to p2
p1 < p2
Thomas Euriga
Chapter 8: p. 363 #4
a. 800 + 830 = 1630 / 2 = 8:15 is the average time of arrival
b. 830 800 = 30 / 3.4641 = 8.66 standard deviation
c. 1 / 830 800 = 1/30
1/30 * (810 800) = 1/30 * 10 =
Thomas Euriga
Chapter 6: p. 276 #8
a. 270 husbands divided by 1000 policies = .27 probability
b. 80 wives divided by 1000 policies = .08 probability
c. 60 wives divided by 1000 policies = 60/1000
168
Thomas Euriga
Chapter 1: p. 17 #4
A. Identify the population.
A.1. Nonsmoker students from a large Midwestern University
B. What characteristics of the population are being measured?
B.1. Nonsmoking w
Thomas Euriga
Chapter 4: p. 168 #8
a. Parameters
b. I would choose the portfolio with the small deviation because it would be more stable and
predictable
c. Portfolio A 7.07 Portfolio B 33.32 are the