Construct a Scatterplot and Identify the Mathematical Model That Best $\begin{array}{c|cccccc}\mathrm{x} & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \mathrm{y} & 9 & 13 & 25 & 27 & 31 & 46\end{array}$

question 91

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
- $\begin{array}{c|cccccc}\mathrm{x} & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \mathrm{y} & 9 & 13 & 25 & 27 & 31 & 46\end{array}$

• A) \(y = 1.07 + 6.89 x\)
• B) \(y = 8.34 x ^ { 0.88 }\)
• C) \(y = 4.87 + 18.5 \ln x\)
• D) \(y = 3.14 + 6.59 x\)

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Definitions:

Competitive Advantage

An edge that a company has over its competitors, enabling it to generate greater sales or margins and/or retain more customers.

Continuous-process Production

A method of production where materials are continuously in motion or processing to produce goods, often used in industries where the product is indistinguishable from batch-processing.

Labour Force

the total number of people who are available to work, including both the employed and the unemployed who are seeking employment.

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The effectiveness of productive effort, measured in terms of the rate of output per unit of input.