Construct a Scatterplot and Identify the Mathematical Model That Best $\begin{array}{l|ccccc}\mathrm{x} & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 7 & 17 & 20 & 25 & 28\end{array}$

question 108

Multiple Choice

Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several
models and compare the values of R²
- $\begin{array}{l|ccccc}\mathrm{x} & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 7 & 17 & 20 & 25 & 28\end{array}$

• A) \(y = 7.19 + 12.8 \ln x\)
• B) \(\mathrm { y } = 4.40 + 5.00 \mathrm { x }\)
• C) \(y = 7.82 x ^ { 0.844 }\)
• D) \(y = 6.81 e ^ { 0.316 x }\)

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Net Capital Spending

The total expenditure on fixed assets less any sales of fixed assets.

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The profit from the sale of a property or an investment when the selling price exceeds the purchase price.

Marginal Tax Rates

The rate at which the last dollar of income is taxed, reflecting the portion of an incremental income that is paid in taxes.

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The total amount of money being transferred into and out of a business, indicating the organization's liquidity, efficiency, and overall financial health.