Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
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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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