In the regression equation Y = 75.65 + 0.50X, the intercept is

0.5
75.65
1
indeterminable

The correct answer is $\boxed{\text{A}}$.

The intercept is the value of $Y$ when $X$ is equal to zero. In the equation $Y = 75.65 + 0.50X$, the intercept is $75.65$. This means that when $X$ is equal to zero, $Y$ is equal to $75.65$.

Option $\text{B}$ is incorrect because the value of $Y$ when $X$ is equal to zero is $75.65$, not $75.65 + 0.50$.

Option $\text{C}$ is incorrect because the intercept is not equal to $1$.

Option $\text{D}$ is incorrect because the intercept is a well-defined value.