In Simple Linear Regression, Most Often We Perform a Two-Tail $$\beta _ { 1 }$$

question 6

Multiple Choice

In simple linear regression, most often we perform a two-tail test of the population slope $$\beta _ { 1 }$$ to determine whether there is sufficient evidence to infer that a linear relationship exists. Which of the following best describes the null and alternative hypotheses needed for a test of significance?

• A) Ho: β₀ = 0
• H_A: β₀ ≠ 0
• B) Ho: β₁ ≠ 0
• H_A: β₁ = 0
• C) Ho: β₀ = 0.
• H_A: β₀ ≠ 0
• D) Ho: β₁ = 0
• H_A: β₁ ≠ 0.

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Definitions:

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, with 1 indicating certainty.

Uniform Distribution

An equal likelihood for all outcomes characterizes this probability distribution.

Waiting Time

The duration of time that passes from a specified point until a particular event occurs, often analyzed in queueing theory to improve service processes.

Standardize

The process of adjusting values measured on different scales to a notionally common scale, often used in statistical analysis to compare data points.