Graphing Notes

Question 1

What are graphs useful for?

Answer 1

shows trends, helps to organize and present data

Question 2

What are the three types of graphs

Answer 2

pie chart, bar graph, line graph

Question 3

pie chart definition

Answer 3

ideal for displaying data that is parts of a whole

Question 4

an entire circle graph equals

Answer 4

100%

Question 5

bar graph definition

Answer 5

compare similar data for several items or events

Question 6

what are bar graphs useful for

Answer 6

showing single items for many values; can show a comparison between different groups or track changes over time

Question 7

line graph definition

Answer 7

show any relationship where the dependent variable changes due to changing the independent variable

Question 8

what are the two types of variables on a line graph

Answer 8

the independent and dependent variable

Question 9

where is the independent variable plotted

Answer 9

on the x-axis

Question 10

where is the dependent variable plotted

Answer 10

on the y-axis

Question 11

what is the independent variable

Answer 11

the variable being manipulated (changed)

Question 12

what is the dependent variable

Answer 12

the variable that is being measured

Question 13

What is a best-fit line used for on a line graph

Answer 13

used to show the trend of data on the graph

Question 14

What is the first rule for using the best-fit line

Answer 14

look at your data points

Question 15

what is the second rule for using the best-fit line

Answer 15

determine if the graph is a line or a curve

Question 16

what is the third rule for using the best-fit line

Answer 16

draw your line through as many points as possible while leaving an equal or almost equal amount of points above or below the graph (line or curve)

Question 17

What does a direct relationship look like and mean about the variables plotted on the graph

Answer 17

when one variable on a graph increases, the other variable increases, making a straight line. this is a linear relationship

Question 18

What does an indirect relationship look like and mean about the variables plotted on the graph

Answer 18

when one variable on a graph increases, the other decreases, making a straight line. this is a linear relationship

Question 19

What does an inverse relationship look like and mean about the variables plotted on the graph

Answer 19

If two variables vary inversely, the points make a hyperbola, a curved shape. The line never crosses x or y axis. When variables vary inversely as one variable increases in value, the other decreases

Question 20

What does a quadratic relationship look like on a graph

Answer 20

If the variables have a quadratic relationship, the points make a parabola on the graph. Parabolas may open upward or downward and vary in width and steepness

Question 21

interpolating data

Answer 21

reading between data points on a graph

Question 22

extrapolating data

Answer 22

reading beyond the data points on a graph - estimating

Question 23

how do you find the slope on a graph

Answer 23

pick two points and use the slope formula

Question 24

slope formula

Answer 24

m = y2-y1/x2-x1

Question 25

what does the slope represent

Answer 25

a measure of its steepness

Question 26

what is slope mathematically

Answer 26

the slope is calculated as “rise over run”

Question 27

what is slope scientifically

Answer 27

the slope formula is used

Question 28

the steeper the slope,

Answer 28

the greater the value of the slope

Question 29

How do you come up with the title of a graph

Answer 29

dependent vs independent variable or y vs x