rationale---**Question Number:** 29
**Question Stem:**
Consider the data in the table below.
State an exponential regression equation to model these data, rounding all values to the nearest thousandth.
**Table Content:**
| x | y |
|---|------|
| 1 | 3.9 |
| 2 | 6 |
| 3 | 11 |
| 4 | 18.1 |
| 5 | 28 |
| 6 | 40.3 |
**Other Relevant Text:**
Algebra II – Jan. '23
[12]
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We have a data set with six points that we need to model using exponential regression. The x values range from one to six, and the corresponding y values show exponential growth from three point nine to forty point three. Our goal is to find an equation of the form y equals a times b to the x power, with coefficients rounded to the nearest thousandth.
Let's start by plotting our data points on a coordinate system. We can see the x values from one to six on the horizontal axis, and the y values ranging from zero to forty five on the vertical axis. As we plot each point, notice the clear exponential growth pattern where the y values increase rapidly as x increases.