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Linear Algebra Ch. 7
Slope and Association
Term | Definition |
---|---|
association | A relationship between two (or more) variables that can be displayed on a scatterplot, and described by its form, direction, strength, and outliers. |
central angle | An angle with its vertex at the center of a circle. |
circle graph | A way of displaying data that can be put into categories (like what color you prefer, your gender, or the state you were born in). This graph shows the proportion each category is of the whole. |
cluster | A description of the form of an association where there is a bunch up of data |
constant of proportionality | In a proportional relationship, equations are of the form y = kx, where k is the constant of proportionality. |
form | Can be linear or non-linear; can contain cluster of data. |
frequency table | A table that displays counts, or frequencies, of data |
lattice points | The points on a coordinate grid where the grid lines intersect. The coordinates of these points are integers. |
line of best fit | Shows a trend in the data representing where the data falls. This line does not need to touch any of the actual data points. Instead, it shows where the data generally falls. The line is a mathematical model of the data. |
linear equation | An equation in two variables whose graph is a line. The standard form for a linear equation is ax + by = c. Most can be written in y = mx + b form, which is more useful for determining the line's slope and y-intercept. |
negative association | If one variable decreases as the other variable increases. |
negative slope | downward from left to right on a graph. |
positive association | If one variable in a relationship increases as the other variable increases. |
positive slope | When a line slopes upward from left to right on a graph. |
outlier | A number in a set of data that is much larger or much smaller than the other numbers in the set. |
simple interest | Interest paid on the principal alone. |
slope | A ratio that describes how steep (or flat) a line is. This can be positive, negative, or even zero. |
strength (of an association) | A description of how much scatter there is in the data away from the line or curve of best fit. |
unit rate | A rate with a denominator of one when simplified. |
y = mx + b | When two quantities x and y have a linear relationship, that relationship can be represented with this equation The constant m is the slope, and b is the y-intercept of the graph. This form of a linear equation is also called the slope-intercept form. |