Construct a Scatterplot and Identify the Mathematical Model That Best $\mathrm { R } ^ { 2 }$

question 46

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 $\mathrm { R } ^ { 2 }$
-A quadratic regression model is fit to a set of sample data consisting of 6 pairs of data. Given that the sum o squares of residuals is $6.68$ and that the $\mathrm { y }$ -values are $11,14,19,22,26,27$ , find
$$R ^ { 2 } = 1 - \frac { \sum ( y - \hat { y } ) ^ { 2 } } { \sum ( y - \bar { y } ) ^ { 2 } }$$

• A) \(0.965\)
• B) \(0.032\)
• C) \(0.968\)
• D) \(0.973\)

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A small organ located under the liver which stores bile, a fluid produced by the liver to help digest fats.

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Nutritional substances that are partially liquid, partially solid, easing consumption and digestion.

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The partially broken down food substance that transitions from the stomach to the small intestine in a semi-liquid form.

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A digestive fluid formed in the stomach that contains hydrochloric acid, enzymes, and mucus, aiding in the digestion of food.