The Bigger the Stop Sign, the More Expensive It Is $\mathrm{R}$

question 147

Short Answer

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: sqrt(cost)
$\mathrm{R}$ (correlation coefficient) $=0.98946627$
$R-s q=0.97904349$
s: 0.2141

$\begin{array}{lrr}\text { Parameter } & \text { coeff } & \text { se } \\\text { Intercept } & 1.1857 & 0.4346 \\\text { height } & 0.1792 & 0.0151\end{array}$

-Write the transformed regression equation. Make sure to define any variables used in your equation.

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Definitions:

Cognitive Therapy

A type of psychotherapy that identifies and changes negative thought patterns to improve mood and behavior.

Therapeutic Alliance

The cooperative and trusting relationship between a therapist and a client, which is considered essential for effective therapy.

Cognitive Therapies Efficacy

The effectiveness of cognitive therapies, which are psychological treatments aimed at altering dysfunctional thoughts and behaviors, typically measured through their impact on symptom reduction.

Controlled Research

A methodology in research studies that involves manipulating one variable to determine if changes in one variable cause changes in another, often including control groups to eliminate alternative explanations.