AIM: What is Predicting?

Vocabulary:EXTRAPOLATION

INTERPOLATION

TABLES

GRAPHS

DATA

What is Predicting?

Graphing Data

WHO knows how to GRAPH Data?

What is Predicting?

What is Data ?

Data is your observations when conducting an experiment or preliminary scientific investigation

What is Predicting?

How is Data presented ?

Data is usually presented in:

1. Written descriptive format2. Tables3. Graphs4. Or a combination of all of these

What is Predicting?

Imagine this experiment:

Suppose we wanted to track the rate of growth of a type of tomato plant We plant the plant Then, we record its growth each day over a number of days

ü

What is Predicting?

Our Tomato plant Grew to height of:

2 inches on day 2, 4 inches on day 5, 8 inches on day 10, 10 inches on day 15, 14 inches on day 20

This is a descriptive

format

What would be a better way to present the data?

Plant Height

2

4

8

10

14

Day of Growth

2

5

10

15

20

Table of Plant Days vs. Plant Height:

Is this format

better for reviewing our results

then the descriptive formant?

Plant Height

2

4

8

10

14

Day of Growth

2

5

10

15

20

Table of Plant Days vs. Plant Height:

This is called a data table. Data tables make it easier to understand

your observations

What is Predicting?

DATA TABLES:ALSO MAKE IT EASIER TO GRAPH.

IT IS EASIER TO GRAPH FROM A DATA TABLE, RATHER THAN TRYING TO GRAPH FROM A

DESCRIPTIVE PARAGRAPH.

Draw your Axis

Y-axis

X-axis

Label Your X Axis:

Y-axis

X-axis

Label the Days

Days

5 10 15 20 25

`

Label Your Y Axis:

Y-axis

X-axis

Plan

t Heigh

tin inches 6

4

810

2

12

X-axisDays

5 10 15 20 25

`

1416

Now Plot Your Points

Y-axis

X-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

Now Draw Your Line

Y-axis

X-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

LASTLY: TITLE YOUR GRAPH

Y-axis

X-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

Y-axis

X-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

The Height of Mr. Zim’s Tomato Plant

Plant #1

Alternative Title for the Graph

Y-axis

X-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

(X vs Y): Days of Growth Vs. Plant Height

What is Predicting?

Based upon YOUR graph

What would the plant height be of Mr. Z’s plant on day 7

Plant Height on Day 8?

Y-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

(X vs Y): Days of Growth Vs. Plant Height

Plant #1

6.5 inches

What is Predicting?

Based upon YOUR graph

What would be the plant height of the plant 1 on day 14

Plant Height on Day 14?

Y-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

(X vs Y): Days of Growth Vs. Plant Height

= 9.5 inches

What is Predicting?

Based upon YOUR graph

What would be the plant height of plant #1 on day 23?

How did you figure that out?

Plant #1 Height on Day 23?

Y-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

2 5 10 15 20 25

`

1416

(X vs Y): Days of Growth Vs. Plant Height

=15 inches

What is Predicting?

Interpolate.

To estimate a value between two known values.

Y-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

2 5 10 15 20 25

`

1416

(X vs Y): Days of Growth Vs. Plant Height

EXAMPLE of INTERPOLATION

What is Predicting?

Extrapolate

An estimated value which follows logically from the known values

To infer or estimate by extending or projecting known information.

Y-axis

Plan

t Heigh

tin inches 6

4

810

2

12

Days

5 10 15 20 25

`

1416

(X vs Y): Days of Growth Vs. Plant Height

Example of EXTRAPOLATION

Y-axis

Weigh

tin pounds 200

250

150

Height (feet)

5 5.5 6 6.5

300

(X vs Y): Height of Football Player Vs. Weight

Extrapolate the weight of a player who is almost 7 feet tall?

Y-axis

Weigh

tin pounds 200

250

150

Height (feet)

5 5.5 6 6.5

300

(X vs Y): Height of Football Player Vs. Weight

Interpolate the weight of a player who is almost 5 feet 9 inches tall?