Use the Given Set of Points to Test the Null $H _ { 0 } : \beta _ { 1 } = 0$

question 46

Multiple Choice

Use the given set of points to test the null hypothesis $H _ { 0 } : \beta _ { 1 } = 0$ versus $H _ { 1 } : \beta _ { 1 } \neq 0$ Use the $\alpha = 0.01$ level of significance.
$\begin{array} { c | c c c c c c c c } x & 14 & 7 & 15 & 10 & 9 & 6 & 14 & 15 \\\hline y & 32 & 17 & 36 & 26 & 21 & 15 & 34 & 37\end{array}$

• A) Do not reject H₀
• B) Reject H₀

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Definitions:

Operant Conditioning

A method of learning that employs rewards and punishments for behavior, emphasizing the idea that behaviors followed by positive outcomes are more likely to recur.

Intermittently Reinforced

A conditioning schedule where responses are sometimes rewarded, strengthening behavior unpredictably.

Continuously Reinforced

In operant conditioning, a scenario where each instance of a desired behavior is reinforced (rewarded), leading to rapid learning.

Negatively Reinforced

A process in operant conditioning where a behavior is strengthened because an unpleasant or aversive stimulus is removed or avoided.