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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