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# lecture5 - Lecture 5 1 Lecture 5 Section 2.3 Functions and...

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Lecture 5 1 Lecture 5: Section 2.3 Functions and Mathematical Models In an observed population, the average weight for women of a certain height is given by the following table: x (in) 60 63 66 69 72 y (pounds) 108 118 129 140 152 Does this represent a linear relationship? Using just the points (60 , 108) and (72 , 152) we find the following linear equation modeling the data: y = 11 3 x - 112 .

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Lecture 5 2 1) Using this model, what should be the desirable weight for a woman 5’6” tall? 2) What does the slope of the line tell you? Note: In our example, the linear model which “best fits” the data is given by the equation y = 3 . 67 x - 112 . 6 using a technique called linear regression .
Lecture 5 3 Polynomial Functions Def. A polynomial function of degree n is a function of the form f ( x ) = a 0 x n + a 1 x n - 1 + ... + a n - 1 x + a n , ( a 0 6 = 0) where a 0 , a 1 , ..., a n are constants called coefficients and n is a nonnegative integer. a 0 is called the leading coefficient . ex. 1) f ( x ) = 2 x 8 - 2 5 x 6 - 4 x 2 + 3 2) f ( x ) = x 3 - 2 x + 4 x 2 NOTE: : The domain of a polynomial function

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Lecture 5 4
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lecture5 - Lecture 5 1 Lecture 5 Section 2.3 Functions and...

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