vocab chapter 5

graph of inequality in two variables

set of points that represnt all solutions of the inequality

function notation

showing work of a function

rectangle coordinate system

simple idea

quadrants

the axes divide the plane in four points

perfect negative correlation

-1

rate of change

the coefficient is the line slope and the constant term in y intercept

half plane

the region that contains the solution for an inequality

system of linear equation

two or more linear equations.

slope

useless measure of the steepness of a line

rise

vertical change

y-axis

vertical line

linear equation in two variables

when a and b is not sero and in a straight line

x-intercept

x-coordinate of the point where the graph intersects x-axis

linear system

Consists of 2 or more linear equations in the same variables

y-intersect

y-coordinate of the point where the graph insects y-axis

perfect positive correlation

1

scatter plot

A graph with points plotted to show a possible relationship between two sets of data.

correlation

A measure of the extent to which two factors vary together, and thus of how well either factor predicts the other.

correlation coeffcient

A measure of the relationship between two variables and it is represent by r (on a scale between negative and positive 1). The closer it is to a negative one or a positive one is its strength. In a positive correlation the two variables are related in the same direction and in a negative they are related in the opposite direction.

cost function

A measurement of the cost to the performance task of making a prediction Y' when the actual label is y. The use of accuracy to evaluate a model assumes uniform costs of errors and uniform benefits of correct classifications. Example: "Squared error function".

solution to a system linear of equations

A solution to a system of equations is a common solution for each of the equations in the system. You can solve a system of equations in various ways, including using the graphing method, substitution method, the elimination method, or a matrix.

positively correlated

Describes two series that move in the same direction

negatively correlated

If psychologists discovered that wealthy people are less satisfied with their marriages than poor people are, this would indicate that wealth and marital satisfaction are

regression line

Line of best fit

Solution set of a system of linear inequalities in two variables

No Solutions, or Exactly one solutions, or infinitely many solutions

revenue function

R(x) = (# items sold)(price per item) = xp(x)

break-even-point

Sales revenue equals the costs and expenses of making and distributing a product.

piecewise function

a function that is defined by two or more equations

linear function

a graph that is a straight line

equations in two varibles

a relationship between two quantites

vertical line test

a test

Cartesian coordinate system

another word for rectangle coordinate system in honor

correlated

corresponded; matched

x-coordinate

first number in each pair

graph of a function

graph of its ordered pairs

run

horizontal change

x-axis

horizontal line

satifies

if a statment is describe as true

function

if an equation in two variables x and y yields precisely one value of y for each value of x, we say that y is a function x.

y is and function of x

if an equation in two variables x and y yields precisely one value of y for each value of x, we say that y is a function x.

linear inequality in two equations

is an inequality that can be written in the form Ax+By<C, where A,B,C, are real numbers and A and B are not both zero.

Solution of an inequalities in two variables

is any number that makes the inequality true.

point slop form of a line

non vertical line with m that passes through the point

slope intercept form of the equations

non vertical line with slope m and y intercept b

point-plotting method

one method for graphing such equation

orgin

point of intersection of these axes is their zero points

plot

points corresponding to the ordered pair

ordered pair

real numbers

y-coordinate

second number in each pair

the graph of an equation in two varibles

set of all points whose coordinates satisfy the eqaution