Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 2a – Linear Functions and Applications Mini-Lesson Once your data columns are clear, enter the input data into L1 (press ENTER after each data value to get to the next row) then right arrow to L2 and enter the output data into L2. Your result should look like this when you are finished (for L1 and L2): Step 2: Turn on your Stat Plot Press Y= Use your arrow keys to scroll up to Plot1 Press ENTER Scroll down and Plot1 should be highlighted as at left Step 3: Graph the Data Press ZOOM Scroll down to 9:ZoomStat and press ENTER A graph of your data should appear in an appropriate window so that all data points are clearly visible (see below) Other than the first data point, our data look pretty linear. To determine a linear equation that fits the given data, we could do a variety of things. We could choose the first and last point and use those to write the equation. We could ignore the first point and just use two of the remaining points. Our calculator, however, will give us the best linear equation possible taking into account ALL the given data points. To find this equation, we use a process called LINEAR REGRESSION. Scottsdale Community College Page 60 Intermediate Algebra
Lesson 2a – Linear Functions and Applications Mini-Lesson FINDING THE LINEAR REGRESSION EQUATION Step 1: Access the Linear Regression section of your calculator Press STAT Scroll to the right one place to CALC Scroll down to 4:LinReg(ax+b) Your screen should look as the one at left Step 2: Determine the linear regression equation Press ENTER twice in a row to view the screen at left The calculator computes values for slope (a) and y- intercept (b) in what is called the equation of bestfit for your data. Identify these values and round to the appropriate places. Let’s say 2 decimals in this case. So, a = -4.43 and b = 191.24 Now, replace the a and b in y = ax + b with the rounded values to write the actual equation: y = -4.43x + 191.24 To write the equation in terms of initial variables, we would write W = -4.43t + 191.24 Once we have the equation figured out, it’s nice to graph it on top of our data to see how things match up. GRAPHING THE REGRESSION EQUATION ON TOP OF THE STAT PLOT Enter the Regression Equation with rounded values into Y= Press GRAPH You can see from the graph that the “best fit” line does not hit very many of the given data points. But, it will be the most accurate linear model for the overall data set. IMPORTANT NOTE: When you are finished graphing your data, TURN OFF YOUR PLOT1. Otherwise, you will encounter an INVALID DIMENSION error when trying to graph other functions. To do this: Press Y= Use your arrow keys to scroll up to Plot1 Press ENTER Scroll down and Plot1 should be UNhighlighted Scottsdale Community College Page 61 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 3a - Introduction to Exponen
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Lesson 4b - More on Logarithms This
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Lesson 4b - More on Logarithms Mini
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Lesson 4b - More on Logarithms Prac
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Lesson 5a - Introduction to Quadrat
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Lesson 5b - Solving Quadratic Equat
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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