Answer:
Option A) [tex]H_0: \beta_1 = 0[/tex]
Step-by-step explanation:
The regression equation gives us a relation between the independent and the dependent variable.
The regression equation with 1 independent variable can be written as:
[tex]y = \beta_0 + \beta_1x\\\text{where } \beta_0 \text{ is the y intercept and } \beta_0 \text{ is the coefficient of x or the independent variable.}[/tex]
- The hypothesis tells us whether the dependent variable have a significant relationship with the independent variable or not.
- We test that there is no effect of the particular dependent variable on the predicted variable.
- We carry this hypothesis with the null hypothesis that there is no significant relationship between the dependent variable and the independent variable
- Thus, we check whether the coefficient of x is zero or not.
The null hypothesis can be designed as:
[tex]H_0: \beta_1 = 0[/tex]
- The p-value for each term tests the null hypothesis that the coefficient is equal to zero (no effect).
Option A) [tex]H_0: \beta_1 = 0[/tex]
