Decide, at the Given Significance Level, Whether the Data Provide

question 21

Essay

Decide, at the given significance level, whether the data provide sufficient evidence to conclude that x is useful forpredicting y.
-Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is a useful predictor of y. $$\begin{array} { r | r r r r l } \mathrm { x } & 2 & 4 & 5 & 6 \\ \hline \mathrm { y } & 7 & 11 & 13 & 20 \end{array} \quad \hat { y } = 3 \mathrm { x }$$

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Definitions:

Sexual

Pertaining to, involving, or characteristic of sex, sexual activity, or sexual reproduction in living beings.

Calm

A state of peacefulness and tranquility, free from stress or agitation.

Autonomic

Relating to the autonomic nervous system, which controls involuntary bodily functions such as heart rate, digestion, and respiratory rate.

Somatic

Relating to or affecting the body, especially as distinct from the mind or emotions.