Unit 4: Functions Final Exam Review.

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Presentation transcript:

Unit 4: Functions Final Exam Review

Topics to Include Linear Input/Output Quadratic Input/Output Linear Regression Quadratic Regression Exponential Regression Correlation/R2

Linear Input/Output Input – the numbers PLUGGED IN to an equation Output – the ANSWER you get after plugging in a number To finish the table, follow the rule Example: Rule: Add 4 

Linear Input/Output You Try! 1. Subtract 10 2. Add 4

Linear Input/Output You can also fill in a table based on an EQUATION Plug in the X VALUE to find the Y value. Example: y = 3x – 2 

Linear Input/Output You Try! 1. y = x + 8 2. y = 4x + 1

Quadratic Input/Output Quadratic Function: 𝒂𝒙 𝟐 +𝒃𝒙+𝒄 A quadratic function is shaped like a U and is called a PARABOLA Example: 𝑥 2 +2𝑥+3 

Quadratic Input/Output You Try! 1. 𝑥 2 +5 2. 𝑥 2 −3𝑥+2

Linear Regression Linear Regression lines follow a STRAIGHT LINE pattern. To find the linear regression 1. Plug in table to your calculator (STAT  EDIT) 2. Click STAT and then go over to CALC and choose LINREG Hit ENTER. The calculator will give you the linear regression in the format y = mx + b

Linear Regression Example: Answer: y = 1.05x + 22.32

Linear Regression You Try!

Quadratic Regression Quadratic Regression lines follow a U SHAPED pattern. To find the quadratic regression 1. Plug in table to your calculator (STAT  EDIT) 2. Click STAT and then go over to CALC and choose QUADREG Hit ENTER. The calculator will give you the linear regression in the format y = ax2 + bx + c

quadratic Regression Example: Answer: y = 0.02x2 – 1.36x + 14.06

Quadratic Regression You Try!

exponential Regression Exponential Regression lines will either display exponential GROWTH or exponential DECAY. To find the exponential regression 1. Plug in table to your calculator (STAT  EDIT) 2. Click STAT and then go over to CALC and choose EXPREG Hit ENTER. The calculator will give you the linear regression in the format y = a ∙ bX

exponential Regression Example: Answer: y = 5 ∙ 2x

Exponential Regression You Try!

Correlation/r2 Correlation – how STRONG or how WEAK a regression line is If the correlation/R2 value is close to 1, the regression line is STRONG If the correlation/R2 value is close to 0, the regression line is WEAK

Correlation/r2 Example: Determine if the regression line for each data set is strong or weak. 1. Linear Regression 2. Quadratic Regression R2 = 0.9275  Close to 1  STRONG R2 = 0.1111  Close to 0  WEAK

Correlation/r2 You Try! Exponential Regression Linear Regression

ALL DONE