Quick Start Expectations 1.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

Model #1

Model #2

Using the model y = 10.4x 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 Graph: Residuals are small and some are positive and some are negative… Linear model makes sense!