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Use exponential regression to fit the following data set. 12 3 4 5 8.8 7.0 5.6 4.5 3.6 model. (Round the values to two decimal places.) x y Give the exponential y = 6.48 x 0.98* Oy = 10.96 x 0.80* Oy = 8.8 x 0.92* y = 3.6 x 1.06* O y = 1.21 x 1.2* X Plot the data along with the model.

Use exponential regression to fit the following data set. 12 3 4 5 8.8 7.0 5.6 4.5 3.6 model. (Round the values to two decimal places.) x y Give the exponential y = 6.48 x 0.98* Oy = 10.96 x 0.80* Oy = 8.8 x 0.92* y = 3.6 x 1.06* O y = 1.21 x 1.2* X Plot the data along with the model.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use exponential regression to fit the following data set.

The image shows an exponential regression problem with a dataset given in a table. The table has two columns labeled \( x \) and \( y \): - For \( x = 1, y = 8.8 \) - For \( x = 2, y = 7.0 \) - For \( x = 3, y = 5.6 \) - For \( x = 4, y = 4.5 \) - For \( x = 5, y = 3.6 \) The task is to determine the exponential model that best fits the data. The options for the exponential models are given, each formatted as \( y = a \times b^x \), with choices: - \( y = 6.48 \times 0.98^x \) - \( y = 10.96 \times 0.80^x \) - \( y = 8.8 \times 0.92^x \) - \( y = 3.6 \times 1.06^x \) - \( y = 1.21 \times 1.2^x \) The correct model selected is \( y = 3.6 \times 1.06^x \), indicated by a blue check mark. However, a red box with a cross shows that this choice is incorrect. The instruction also includes plotting the data along with the model.
Transcribed Image Text:The image shows an exponential regression problem with a dataset given in a table. The table has two columns labeled \( x \) and \( y \): - For \( x = 1, y = 8.8 \) - For \( x = 2, y = 7.0 \) - For \( x = 3, y = 5.6 \) - For \( x = 4, y = 4.5 \) - For \( x = 5, y = 3.6 \) The task is to determine the exponential model that best fits the data. The options for the exponential models are given, each formatted as \( y = a \times b^x \), with choices: - \( y = 6.48 \times 0.98^x \) - \( y = 10.96 \times 0.80^x \) - \( y = 8.8 \times 0.92^x \) - \( y = 3.6 \times 1.06^x \) - \( y = 1.21 \times 1.2^x \) The correct model selected is \( y = 3.6 \times 1.06^x \), indicated by a blue check mark. However, a red box with a cross shows that this choice is incorrect. The instruction also includes plotting the data along with the model.
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