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8.4 Linearizing Data

8.4 Linearizing Data. Lesson Obj : IWBAT take a power or exponential function, linearize it, and use linear regression on the transformed data. Guiding Question: How can we make exponential or power functions easier?. Recall the definition of log. Rules of Logs.

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8.4 Linearizing Data

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  1. 8.4 Linearizing Data Lesson Obj: IWBAT take a power or exponential function, linearize it, and use linear regression on the transformed data.

  2. Guiding Question: How can we make exponential or power functions easier? Recall the definition of log. Rules of Logs

  3. Guiding Question: How can we make exponential or power functions easier? Simplify using log Notice how the it changes. The simplified version should be linear in nature with a log. What would be the slope? What would be the y-intercept?

  4. Guiding Question: How can we make exponential or power functions easier? • Sketch a graph but change it so that the y-axis now measures logs.

  5. Guiding Question: How can we make exponential or power functions easier? Simplify this power function. What would the slope and y-intercept be here? How is it different than the exponential function?

  6. Guiding Question: How can we make exponential or power functions easier? Change so that both axes are in terms of logs. This change is called log-log graphing or semi-log graphing Log-Log is where both axes are now the logs of numbers Semi-log Add-Multiply – Vertical scale is a log Multiply – Add – Horizontal scale is a log.

  7. Guiding Question: How can we make exponential or power functions easier? Determine if the following is a power or a exponential function. Linearize the data by taking the logs of both columns in your calc. Set 2 new columns in your calculator with the log of each of these columns. Find the linear regression of those 2 columns and the correlation coefficient. Convert it back to a power function.

  8. Guiding Question: How can we make exponential or power functions easier? Assignment: Pg. 378 1-4, 9-12 Day 2 19-21

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