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
