3.3 Non-Linear Regression. Non-Linear Regression Is an analytic technique for finding the curve of best fit when a line is not best suited.

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Presentation transcript:

3.3 Non-Linear Regression

Non-Linear Regression Is an analytic technique for finding the curve of best fit when a line is not best suited.

Coefficient of Determination A numerical indication of how well a curve fits a set of data.

Coefficient of Determination Vs. Coefficient of Correlation Determination is for any line (curved or straight) Coefficient of Correlation is only for straight line. (directly correlation b/t X and Y)

Coefficient of Determination

Type of Non-Linear Lines

Types of Non-Linear Lines

Determine Curve of Best Fit A lab tech monitors the growth of a bacterial culture by scanning it every hour and estimating the number of bacteria growth. The initial pop is unknown. Time (h) Popula tion ?

Curve of Best Fit For a Physics project, a group of students videotape a ball dropped from the top of a 4-m ladder, which they have marked every 10cm. During playback, they stop the videotape every tenth of a second and compile the following table. a)Find regression b)How long will it take the ball to fall 10m? c)How far the ball would fall in 5s? Time (s) Distance (m)

Assignment Pg 191, #’s 1,3-5,7