What Do We Mean When We Say That a Simple $\bar{Y}$

question 211

Multiple Choice

What do we mean when we say that a simple linear regression model is "statistically" useful?

• A) All the statistics computed from the sample make sense.
• B) The model is an excellent predictor of Y.
• C) The model is "practically" useful for predicting Y.
• D) The model is a better predictor of Y than the sample mean, \(\bar{Y}\)
• .

---

Definitions:

Correlation Coefficients

Statistical measures that quantify the strength and direction of a relationship between two variables, often denoted as "r".

Illusory Correlations

The experience of detecting associations among factors (usually persons, activities, or behaviors) even in the absence of a genuine relationship.

Expectations

Anticipated outcomes or beliefs about what will happen in the future.

Illusory Correlation

A cognitive bias wherein a relationship is perceived between two variables that are statistically uncorrelated or independent.