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1.3 Modeling Linear Functions with answers

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Describe the transformations that occurred from the parent function {f(x)} to the new function {g(x)}. g(x)

f(x)

Topic:________________________________

EQ: _________________________________

Linear RegressionHow can I predict for the future with information from the present?

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RECALL!

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Linear Regression uses data collection to create an equation that predicts for the future! 

A line of best fit (LSRL) is a _____________   that represents the data on a scatterplot. The line may pass through ___________, ____________, or _________ of the points.

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Example 1: Create a scatterplot for the following data showing the growth of a plant:

Age 1 5 8 10 3

Height 18 33 47 54 25     Write the equation (y = mx + b) for your line of best fit: _________________________

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CALCULATOR INSTRUCTIONS

1. STAT

2. EDIT, L1­ x's & L2­ y's

3. STAT, CALC, 4. LINREG (ax+b), VARS, Y­VARS, Enter 3x

4. Given m(a), b, and r. If not r Catalog Diagnostics ON.

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Example 2: Find a linear equation to represent the relationship between total fat grams and the total calories in fast food.

Sandwich Total Fat (g) Total Calories

Hamburger 9 260

Cheeseburger 13 320

Quarter Pounder 21 420Quarter Pounder with 

Cheese 30 530

Big Mac 31 560

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Example 3:The table shows the number of active red‐cockaded woodpecker clusters in a part of the De Soto National Forest in Mississippi. Write a linear equation that models the number of active clusters as a function of the number of years since 1990.

Use your calculator to find the equation: ______________________________

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Column 2

ACTUAL AGES

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Leonardo DiCaprio

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Brett Favre

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Donald Trump

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