How to Read, Develop, and Interpret GRAPHS! OBSERVATIONS: often are recorded in a data table. We...
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Transcript of How to Read, Develop, and Interpret GRAPHS! OBSERVATIONS: often are recorded in a data table. We...
How to Read, Develop, and Interpret GRAPHS!
OBSERVATIONS: often are recorded in a data table.
We INTERPRET our data table by making INFERENCES and
PREDICTIONS
One way to interpret is to ANALYZE data with GRAPHS
#2
What is the relationship between Frog and Years for the following example: GRAPH IT
YEAR ___# FROGS
1990 500
1992 600
1994 800
1995 900
1996 1200
1998 1800
ANALYZE your DATA Identify your problem:
What is the relationship between the years and the number of frogs
Step One: Draw your Axis
Y-axis
X-axis
Step Two: Label Your X Axis:
Y-axis
X-axisYears
1990 1992 1994 1996 1998 2000
Step Two: Now Label Your Y Axis:
Y-axis
X-axisYEARS
FR
OG
S
700600
800900
500
1000
1990 1992 1994 1996 1998 2000
Was there enough room to label your y axis completely for this problem?
Step Two: Now Label Your Y Axis:
Y-axis
X-axis
So, we have to change the SCALE of our Y-axis
YEARS
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
Step Three: Now Plot Your Points
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
Step Four: Now Draw Your LINE
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
Step Five: Title?
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
Step Five: Years vs. Frogs
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
What are the characteristics of the Red Point?
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
What is the x coordinate and the y coordinate of the red star?
(1991, 650)
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
What is the x coordinate and the y coordinate of the green dot
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
What are the characteristics of the Green Star?
(x=1997, y=1500 Frogs)
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
What would you estimate the frog population to be in 2000?
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
What would be the x and y coordinates for your prediction of the frog population in 2000?
(Jan 2000, 2100 frogs)
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
This is called an EXTRAPOLATION
Y-axis
X-axisYears
FR
OG
S
1200900
15001800
600
2100
1990 1992 1994 1996 1998 2000
This is called an INTERPOLATION
Internet Questions: Line Graph #2