Line of Best Fit.

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Presentation transcript:

Line of Best Fit

How Much Do They Make? Name Guess the Income Actual Income Lady Gaga Jay-Z LeBron James Oprah Winfrey Angelina Jolie Eli Manning Britney Spears President Obama

Guess the Income (millions) Actual Income (millions) How Much Do They Make? Name Guess the Income (millions) Actual Income (millions) Lady Gaga 52 Jay-Z 40 LeBron James 19.7 Oprah Winfrey 315 Angelina Jolie 33 Eli Manning 1.75 Britney Spears 58 President Obama 2.65

Actual Income (Millions) The Right Income Actual Income (Millions) Guess the Income (Millions)

Types of Correlations

Line of Best Fits

Provide students with an example on how to write the equation of a line given two points as a review http://www.mathworksheetsgo.com/sheets/algebra/linear-equation/write-equation-from-2-points-worksheet.php

Baltimore Ravens Year Number of Touchdowns 2002 36 2003 41 2004 33 2005 25 2006 38 2007 27 2008 42 2009 47 2010 2011 2012 44

Touchdowns by the Baltimore Ravens Using two points, what is the linear regression equation? (2, 33) (8, 47) slope = 7/3 33 = 7/3(2) + B 30.6 = B Y=7/3X +30.6 Using all the data, what is the linear regression equation? Y = 1.1818X +32.36 Remember the values of x are 2 and 8 because the x value Year Since 2002

Touchdowns by the Baltimore Ravens What does the slope mean in the context of the problem? Each season the Ravens will increase the number of touchdowns by 1.18 (or 2.3 depending on the equation). Based on the equation, how many touchdowns should the Ravens score in the 2013 season? 2013-2002 = 11 y = 1.18(11)+32.36 The Ravens should score about 45 touchdowns for the 2013 season For GT students, which equation should be used to make predictions in the future? Why did you choose that equation? Why is one equation better than other?

Graphing Calculator Instructions Finding a Linear Regression Equation Enter all the data points in L1 (the x values) and L2 (the y values) Press STAT, move the cursor to CALC, press 4, then ENTER

Class Work on Linear Regression Foot Size and Height 1. Using a calculator, determine the equation of linear regression. If a person is 82in in height, what is his/her shoe size? If a person has a 10.5 shoe size, how tall would he/she be? Fast Food Calories & Fat 1. Using a calculator, find the slope and explain it meaning in the context of the problem. 2. If a burger has 40 grams of fat, how many calories will it have? Height (in) 67 70 73.5 75 78 Shoe Size 8.5 9.5 11 12 13 Fat (g) 9 13 21 30 36 42 Calories 72 100 164 166 208

Creating Posters Work in groups of 3 or 4 students Research and obtain data on a topic that you can make a prediction on Include: Title and Description of Data Scatter plot and Type of Correlation Linear regression equation Analysis of the Equation Prediction using your equation