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The Bigger the Stop Sign, the More Expensive It Is $\operatorname{sqrt}(\cos t)$

question 144

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The bigger the stop sign, the more expensive it is. Here is a graph of the height of a sign in inches versus its cost in dollars.
$The bigger the stop sign, the more expensive it is. Here is a graph of the height of a sign in inches versus its cost in dollars. To achieve linearity, the data was transformed using a square root function of cost. Here are the results and a residual plot. Dependent Variable: \operatorname{sqrt}(\cos t) R (correlation coefficient) =0.98946627 R-s q=0.97904349 s: 0.2141 \begin{array}{lrr}\text { Parameter } & \text { coeff } & \text { se } \\ \text { Intercept } & 1.1857 & 0.4346 \\ \text { height } & 0.1792 & 0.0151\end{array} -Interpret R-sq in the context of this problem.$
To achieve linearity, the data was transformed using a square root function of cost. Here are the results and a residual plot.
Dependent Variable: $\operatorname{sqrt}(\cos t)$
$R$ (correlation coefficient) $=0.98946627$
$R-s q=0.97904349$
s: 0.2141
$\begin{array}{lrr}\text { Parameter } & \text { coeff } & \text { se } \\ \text { Intercept } & 1.1857 & 0.4346 \\ \text { height } & 0.1792 & 0.0151\end{array}$

$The bigger the stop sign, the more expensive it is. Here is a graph of the height of a sign in inches versus its cost in dollars. To achieve linearity, the data was transformed using a square root function of cost. Here are the results and a residual plot. Dependent Variable: \operatorname{sqrt}(\cos t) R (correlation coefficient) =0.98946627 R-s q=0.97904349 s: 0.2141 \begin{array}{lrr}\text { Parameter } & \text { coeff } & \text { se } \\ \text { Intercept } & 1.1857 & 0.4346 \\ \text { height } & 0.1792 & 0.0151\end{array} -Interpret R-sq in the context of this problem.$

-Interpret R-sq in the context of this problem.

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Saturated Fat

A type of dietary fat found in animal products and certain oils that is solid at room temperature and associated with increased cardiovascular risk.

Elevated Total Cholesterol

Higher than normal levels of cholesterol in the blood, increasing the risk of heart disease and stroke.

Diet

The combination of foods and beverages a person consumes, influencing health and nutritional status.

Body Fat

The portion of an individual's body mass composed of fat tissues, critical for energy storage, insulation, and protection of vital organs.

The Bigger the Stop Sign, the More Expensive It Is sqrt⁡(cos⁡t) \operatorname{sqrt}(\cos t) sqrt(cost)

Definitions:

The Bigger the Stop Sign, the More Expensive It Is $\operatorname{sqrt}(\cos t)$