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Published byEdgar Casey Modified over 8 years ago
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-Project Support for Super Bowl Commercial 2016: Still Increasing! Tutorial for Exponential Scatter Plot Here is an example of an exponential scatter plot which includes a trend line. Notice the independent and dependent variables along the axes. After plotting all of our points, we draw a trend line, or curve (an exponential trend line) in this case, which will lead us to possible numbers, or projections, for future years. https://commons.wikimedia.org/wiki/File:CNH_Figure_3.jpg
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For your assignment, there is a blank graph to input the data for your scatter plot. Make sure to draw a smooth curve to fit most of your data points… Does your resulting graph look linear or exponential in nature? If you have graphed the points correctly, it should resemble an exponential function… Now, prove it! Excerpt from this project retrieved from www.yummnymath.comwww.yummnymath.com
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For exponential functions, each pair of consecutive y values should have a constant or Common Ratio. As reflected by your graph, you are dealing with what appears to be an exponential function. Let’s review how to find a Common Ratio. Here is an example FROM YOUR DATA set : I have used years 23 ($675,000) and 24 ($700,000) to show you: Ratio from this data: 700,000/675,000 = 1.037 You now have only more ratios to go!
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What you need to remember is that this data is from real life and will not be identical. In order to find a closer match to the actual common ratio, you must do some additional computations. Take the AVERAGE ratio between your ratios; this will be a closer match. where the numerator, in this case, will be the SUM of all of your ratios, and the denominator is the total number of years represented by your data. This final number will be a close approximation of the actual GROWTH FACTOR of the cost of a 30-second Super Bowl commercial.
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