MATH 100

Question 1

Least Square Regression Line Equation

Answer 1

y = a + (b)(x)

[(-) if b is negative]

Question 2

Predicted Score (outcome)

Dependent Variable

Answer 2

y

Question 3

the y-intercept

Answer 3

a

Question 4

The Slope of the Line

Answer 4

b

Question 5

Independent Variable
(controlled-manipulated-change) explanatory

Answer 5

x

Question 6

Regression Table

Answer 6

x I y I x2 I y2 I xy

Question 7

Formula of a

Answer 7

a= (y)(x2) – (x) (xy)
——————————
N (x2) – (x)2

Question 8

Formula of b

Answer 8

b= N (XY) - (X) (Y)
—————————
N (X2) - (X)2

Question 9

The degree that describes the relationship between two sets of variables.

Answer 9

Correlation

Question 10

The strength of a correlation is measured by?

Answer 10

Correlation Coefficient R

Question 11

other term for R

Answer 11

Pearson Product Moment Correlation

Question 12

Who developed Pearson Product Correlation?

Answer 12

Carl Pearson

Question 13

Equation of r

Answer 13

r= (n(Σxy)-(Σx)(Σy))
____________________________________
(√[n[(Σx^2 )-(∑x)^2][n(Σy^2 )-(Σy)^2])

Question 14

Correlation ranges from

Answer 14

-1 to 1 only

Question 15

0.00 to +/- 0.19

Answer 15

No correlation exist

Question 16

+/-0.20 to +/- 0.39

Answer 16

Slight correlation exist

Question 17

+/- 0.40 to +/- 0.59

Answer 17

Substantial correlation exist

Question 18

+/- 0.60 to +/- 0.79

Answer 18

Significant correlation exist

Question 19

+/- 0.80 to +/- 0.99

Answer 19

Very significant correlation exist

Question 20

+/- 1

Answer 20

Perfect correlation exist

Question 21

to estimate roughly the relationship existing between two variables, by drawing a straight line intersecting as many points as possible in the graph.

Answer 21

The Scatterpoint Diagram

Question 22

Positive Correlation / direct relationship

Answer 22

left to right (upwards)

*some positive - if scattered

Question 23

Negative Correlation/ inverse relationship

Answer 23

left to right (downwards)

*some negative - if scattered

Question 24

Zero Correlation/no relationship

Answer 24

scattered left and right (magulo)

Question 25

the rate of revenues received for every dollar on invested in an item or activity

Answer 25

ROI

Question 26

An instrument that signifies ownership in a corporation and represents a claim on a share of a corporation’s assets and profits. Typically riskier and long-term investments.

Answer 26

Stock

Question 27

An instrument that signifies ownership in a corporation and represents claim on a share of a corporation’s assets and profits. Stocks are typically riskier and long-term investments. Low risk

Answer 27

Bonds

Question 28

State law requires corporations pay bond payments on time, a given priority over other financial obligations

Answer 28

Corporate Bonds

Question 29

Very safe, high quality

Answer 29

Government Bonds

Question 30

 Tax-free on interest for federal returns!!  Lower interest rates, but good overall returns due to tax-exempt status

Answer 30

Municipal Bonds

Question 31

Are open-ended investments that are professionally managed and consist of a variety of investment instruments including stocks, bonds, options, commodities, and money market securities. Long gterm.

Answer 31

Mutual Funds

Question 32

A piece of land and any buildings or structures on it. Real estate is a long-term investment.

Answer 32

Real estate

Question 33

The cost of credit on a yearly basis as a percentage rate.

Answer 33

Annual Percentage Rate (APR)

Question 34

A form of security to help guarantee that a creditor will be repaid.

Answer 34

Collateral

Question 35

A legal agreement to receive cash, goods, or services now and pay for them in the future.

Answer 35

Credit

Question 36

The 3 C’s of Credit:

Answer 36

1. Capacity 2. Capital 3. Character

Question 37

A type of interest that is paid only on the original amount deposit and not on past interest paid.

Answer 37

Simple Interest

Question 38

Simple Interest

Answer 38

I = Prt A = P+I = P(1 + rt)

Question 39

Time of Simple interest

Answer 39

T = I/PR

Question 40

Principal

Answer 40

P = I/RT

Question 41

Rate

Answer 41

R = I/PT

Question 42

Interest on Interest

Answer 42

Compounding Interest

Question 43

Compounding Interest Formula

Answer 43

F=P*(1+i)^n * n is number of years

Question 44

Compounding Interest Time Formula

Answer 44

t = Log10 (A/P) ------------------------ n Log10 (1+ r/n)

Question 45

method of paying a loan (principal and interest) on installment basis, usually of equal amounts at regular intervals

Answer 45

Amortization Method

Question 46

a loan, secured by collateral, that the borrower is obliged to pay at specified terms

Answer 46

Mortgage

Question 47

Find the mortgage

Answer 47

down payment = (down payment rate) (cash price) mortgage amount/amount of loan = (cash price) - (down payment)

Question 48

Alternate solution for mortgage

Answer 48

mortgage amount = % of financed amount x value of the property = (.100 - %) (value of property)

Question 49

a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli)

Answer 49

modular arithmetic

Question 50

Who developed the modular arithmetic?

Answer 50

Carl Friedrich Gauss

Question 51

Properties of modular arithmetic

Answer 51

[(a mod n) + (b mod n)] mod n = (a + b) mod n [(a mod n) - (b mod n)] mod n = (a - b) mod n [(a mod n) x (b mod n)] mod n = (a x b) mod n

Question 52

Examples

Answer 52

1. 11 mod 8 = 3; 15 mod 8 = 7 [(11 mod 8 ) + (15 mod 8)] mod 8 = 10 mod 8 = 2 (11 + 15) mod 8 = 26 mod 8 = 2 2. [(11 mod 8 ) - (15 mod 8)] mod 8 = -4 mod 8 = 4 (11 - 15) mod 8 = -4 mod 8 = 4 3. [(11 mod 8 ) x (15 mod 8)] mod 8= 165 mod 8 = 5 (11 x 15) mod 8 = 165 mod 8 = 5

Question 53

How to solve for mod

Answer 53

Ex: 3 mod 7 = 3/7 = 0.4285 = .4285 x 7 (get only the decimals)

Question 54

in a stage of an algortithm

Answer 54

Ex: 39*15 mod 11 39 mod 11 = 6 and 15 mod 11 = 4 6x4 mod 11 = 24 mod 11 (repeat until the least value)

Question 55

the study of methods for sending secret messages

Answer 55

Cryptography

Question 56

to convert the ciphertext back into plaintext

Answer 56

decryption

Question 57

a message, called plaintext, is converted into a form, called ciphertext

Answer 57

encryption

Question 58

an algorithm for performing encryption or decryption— a series of well-defined steps that can be followed as a procedure

Answer 58

Cipher

Question 59

encryption or decryption using Caesar Cipher

Answer 59

C = (M+ shift) mod 26 encrypt = + decrypt = -

Question 60

numeric equivalents

Answer 60

A = 0 onwards

Question 61

An inequality is like an equation, but instead of an equal sign (=) it has one of these signs:

Answer 61

< : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to

Question 62

Graphing rules: < ≤ > ≥

Answer 62

< Left - open ≤ Left - closed > Right - open ≥ Right - closed

Question 63

inequality by subtraction solve for X-15<73

Answer 63

x < 88 If (-) = add

Question 64

inequality by addition y+15<25

Answer 64

y < 10 If (+) = subtract

Question 65

inequality by multiplication

Answer 65

x/5 = 10 5 (x/5) = 10x5 x = 50

Question 66

inequality by division

Answer 66

5x > 20 5x/5 > 20/5 x> 4

Question 67

when solving a negative number

Answer 67

flip the sign

Question 68

x+6 ≤ 7 3 ≤ x-5 -3x ≥ -15 x-9 > -5

Answer 68

1. x ≤ 1 2. 8 ≤ x or x ≥ 8 3. x ≤ 5 4. x > 4

Question 69

greater than/less than

Answer 69

dotted line

Question 70

greater than/less than/equal to

Answer 70

solid line

Question 71

greater than or greater than, equal to

Answer 71

Shade Above the Line

Question 72

less than or less than, equal to

Answer 72

Shade below the line