(Solved): Consider the following data for a dependent variable \( y \) and two independent variables, \( x_{1 ...

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 \[ \hat{y}=-17.03+1.98 x_{1}+4.59 x_{2} \] Here \( \mathrm{SST}=15,228.5, \mathrm{SSR}=14,024.1, s_{b_{1}}=0.2533 \), and \( s_{b_{2}}=0.9382 \) a. Test for a significant relationship among \( x_{1}, x_{2} \), and \( y \). Use \( \alpha=0.05 \) \[ \begin{array}{l} \boldsymbol{F}^{\prime}= \\ \text { The } \boldsymbol{p} \text {-value is } \end{array} \] At \( \alpha=0.05 \), the overall model is b. Is \( \beta_{1} \) significant? Use \( \alpha=0.05 \) (to 2 decimals). Use \( t \) table. \[ \begin{array}{l} t_{\beta_{1}}= \\ \text { The } p \text {-value is } \\ \text { At } \alpha=0.05, \beta_{1} \end{array} \] C. Is \( \beta_{2} \) significant? Use \( \alpha=0.05 \) (to 2 decimals). Use \( t \) table. \[ t_{\beta_{2}}= \] The \( p \)-value is At \( \alpha=0.05, \beta_{2} \) significant.