Question

Consider the following simple linear regression model: y = ?0 + ?1x + ?. When determining whether x significantly influences y, the null hypothesis takes the form ________. H0:b1 = 1 H0:?1 = 1 H0:?1 = 0 H0:b1 = 0

Answer 1

As the coefficient of X in the equation is $\small \beta_1$ and we are trying to test the significance of the independent variable X in the equation, therefore the null and the alternate hypothesis here would be given as:

$\small H_0: \beta_1 = 0$

$\small H_1: \beta_1 \neq 0$