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Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 4b <strong>–</strong> More on Logarithms<br />

Practice Problems<br />

8. Modeling Data with Logarithmic Regression<br />

Just as we did with Linear and Exponential Functions, we can model appropriate data using<br />

regression. The steps are very similar to the other processes we have used.<br />

Determine if the data set below can be modeled by a logarithmic function. If so, find that<br />

function rounding all decimals to 4 places.<br />

x .5 1 2 3 4 5<br />

y -27 2 32 50 61 70<br />

Step 1: Insert data into L1, L2 list using Stat>Edit.<br />

Step 2: Turn on your Plot (Go to Y= and highlight<br />

Plot 1) then select Zoom9 to work with a good<br />

window for your data. Draw your graph on the<br />

right.<br />

Step 3: Go to Stat>Calc>9:LnReg to find the<br />

Logarithmic Regression model for the data.<br />

Step 4: Press Enter twice to form the equation<br />

information on your screen. Using the formula<br />

Write the equation using Y = a + bLnX<br />

Step 5: Enter the equation into your Y= list and<br />

press Graph to show the graph of the data and the<br />

model. Draw the graph.<br />

Scottsdale Community College Page 178 <strong>Intermediate</strong> <strong>Algebra</strong>

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