The Paired Data Below Consists of Test Scores and Hours $\hat { y } = 44.8447 + 3.52427 x$

question 58

Multiple Choice

The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is $\hat { y } = 44.8447 + 3.52427 x$ . Find the total variation.
$\begin{array}{c|rrrrr}\mathrm{x} \text { Hours of preparation } & 5 & 2 & 9 & 6 & 10 \\\hline \mathrm{y} \text { Test score } & 64 & 48 & 72 & 73 & 80\end{array}$

• A) \(599.2\)
• B) \(87.4757\)
• C) \(498.103\)
• D) \(511.724\)

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Definitions:

Systematic Desensitization

Systematic desensitization is a therapeutic technique used to gradually reduce anxiety through controlled exposure to the feared object or situation combined with relaxation exercises.

Social Skills Training

A therapeutic approach designed to improve interpersonal skills through teaching and practice.

Rational Emotive Therapy

A form of cognitive-behavioral therapy that focuses on identifying irrational beliefs, challenging these beliefs, and replacing them with more rational ones to facilitate emotional well-being.

Drug Therapy

A type of treatment involving the prescription and use of medications to treat illness and improve health.