Quick Start Expectations1. CMP3 book?2. Fill in planner and HWRS

HW: p. 45, #1-3, #35 (ACE worksheet)

3. Get a signature on HWRS

4. On desk: calculator, journal, HWRS, pencil, pen

5. Warm Up: next slide… back of HWRS

Are the following patterns linear or non linear? Give the equation if they are a linear relationship

Linear, y = 7x + 2

Non-linear

Linear, y = 1.5x + 2.3

Labsheet 2.1

12 22 33 43 54 64

0 -4 -1 -3 -6 0

Model #1

10 20 30 40 50 60

2 -2 2 0 -2 4

Model #2

Using the model y = 10.4x + 1.6 gives predictions consistently at or above the actual data, a trend that is shown by the many 0 or negative residuals.

Yes, the line y = 10x passes through (4,40), (5, 50), and (6, 60). The line shown passes very close to those points.

The residuals for Sally’s model are a mix of over and underestimates of the actual breaking weights.

• Both equations produce small residuals.• The first model consistently give overestimates.• The second model’s predictions are a mix of over- and

underestimates. • The second model (y = 10x) gives better predictions, so

it is a better fit!

Which is x and which is y?

Mathematical Model:Answers vary… y = 2.4x + 0.42

Graph:

Residuals are small and some are positive and some are negative… Linear model makes sense!