When the Estimated Slope Coefficient in the Simple Regression Model $\hat { \beta }$

question 37

Multiple Choice

When the estimated slope coefficient in the simple regression model, $\hat { \beta }$ ₁, is zero, then

• A)R² = \(\bar { Y }\)
• B)0 < R² < 1.
• C)R² = 0.
• D)R² > (SSR/TSS).

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Definitions:

Sampling Distribution

A statistical distribution of all possible sample means or sample proportions calculated from all possible samples of a specific size from a population.

Population Variance

A measure of the spread of a population’s data points, indicating the average of the squared differences from the mean.

Chi-square Distribution

A statistical distribution used in hypothesis testing that is applicable when testing hypotheses about categorical variables.

Population Variance

A measure of the spread or distribution of a set of data values within an entire population.