Summarize the Relationship You See

Below is a sample of lizards from the Animals Dataset.

name pounds weeks

Amy

5

7

Aries

4

7

Boss

6

5

Brittany

3

8

Buck

7

4

Butterscotch

1

6

Chico

8

4

Coconut

6

6

Dodger

5

8

Dylan

7

3

scatter plot showing the relationship between a lizard’s weight in pounds(x) and weeks(y) to adoption (1,6) (3,8) (4,7) (5,7) (5,8) (6,5) (6,6) (7,3) (7,4) (8,4)

1 Use a straightedge to draw the line of best fit that best summarizes the relationship you see in the data on the scatter plot.

2 Describe how you decided where to draw the line.

Comparing Models

3 Cy and Jo drew the two lines below. Do you think cy(x) or jo(x) is a better model for this data? Why?

A scatter-plot of the ten points in the table to the right with two functions f(x)=-3x + 23 and g(x)=-0.8x + 10.4

4 What could we measure, to calculate how much better of a model it is?

5 Neither of these models is the best possible model! What would have to be true of a third model, for us to know that it was a better fit than these two?

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