A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the following model: Salary = $\theta_0 + \theta_1$ Service + $\epsilon$. The following table summarizes a portion of the regression results.
Intercept
Service
Coefficients
784.92
9.19
Standard Error
322.25
3.20
t-stat
p-value
Lower 95%
124.95
2.64
Upper 95%
1,444.89
15.74
Which of the following hypotheses will determine whether the intercept differs from zero?
Multiple Choice
$H_0: \theta_0 = 0$; $H_A: \theta_0 \neq 0$