In a Simple Regression, Which Would Suggest a Significant Relationship

question 132

Multiple Choice

In a simple regression, which would suggest a significant relationship between X and Y?

• A)Large p-value for the estimated slope.
• B)Large t statistic for the slope.
• C)Large p-value for the F statistic.
• D)Small t statistic for the slope.

---

Definitions:

T-statistic

The T-statistic is a ratio used in hypothesis testing that compares the difference between an observed sample mean and a known value, to the standard error of the mean.

Null Hypothesis

A default hypothesis that there is no significant difference or effect, typically set against the alternative hypothesis in statistical testing.

Alpha

A coefficient used in statistics that represents the level of significance, often denoted as the probability of rejecting a true null hypothesis.

T-statistic

A type of statistic used in hypothesis testing, calculated to compare the mean of a sample to the known mean of the population.