Multiple regression model
$H_0$:$\beta_2=0$, $H_1$:$\beta_2 \neq 0$
where $\beta_2$ is the vector of elements ($\beta_2, \beta_3, \dots, \beta_k$) and $\beta$ is slope of regression line.
Why it is equivalent to a test based on the statistic $$\frac{R^2/(k-1)}{(1-R^2)/(t-k)}$$ where $R^2$ is the square of the multiple correlation coefficient of the equation.
I don't know how to solve this. Please give me any suggestion or hint.