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

Question

When the estimated slope coefficient in the simple regression model,
$\hat { \beta } _ { 1 } ,$ is zero, then
A) $R ^ { 2 } = \bar { Y }$
B) $0 < R ^ { 2 } < 1$
C) $R ^ { 2 } = 0$
D) $R ^ { 2 } > ( S S R / T S S )$

Quizplus · Accepted Answer

When the estimated slope coefficient $\hat{\beta}_1$ is zero, it implies that the independent variable does not explain any variation in the dependent variable, resulting in $R^2 = 0$.

When the Estimated Slope Coefficient in the Simple Regression Model β^1,\hat { \beta } _ { 1 } ,β^​1​,

When the Estimated Slope Coefficient in the Simple Regression Model $\hat { \beta } _ { 1 } ,$