(Solved): Consider the following data for a dependent variable \( y \) and two independent variables, \( x_{ ...

Consider the following data for a dependent variable \( y \) and two independent variables, \( x_{1} \) and \( x_{2} \). The estimated regression equation for these data is \[ \hat{y}=-16.73+1.90 x_{1}+4.84 x_{2} \] Here \( \mathrm{SST}=14,950.4, \mathrm{SSR}=13,837.7, s_{\mathrm{b}_{1}}=0.2385 \), and \( s_{\mathrm{b}_{2}}=0.9315 \). a. Test for a significant relationship among \( x_{1}, x_{2} \), and \( y \). Use \( \alpha=0.05 \). The \( p \)-value is At \( \alpha=0.05 \), the overall model is b. Is \( \beta_{1} \) significant? Use \( \alpha=0.05 \) (to 2 decimals). Use t table. \[ t_{\beta_{1}}=3 \] The \( p \)-value is At \( \alpha=0.05, \beta_{1} \) significant. c. Is \( \beta_{2} \) significant? Use \( \alpha=0.05 \) (to 2 decimals). Use t table. \[ t_{\beta_{2}}=3 \] The \( p \)-value is ( At \( \alpha=0.05, \beta_{2} \) (1). Dsignificant.