(Solved): (a) Develop a scatter diagram for these data with college GPA as the independent variable. GPA (i) ...

(a) Develop a scatter diagram for these data with college GPA as the independent variable. GPA (i) $\mathrm{G}$ What does the scatter diagram indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between GPA and salary. The scatter diagram indicates no apparent relationship between GPA and salary. The scatter diagram indicates a nonlinear relationship between GPA and salary. The scatter diagram indicates a negative linear relationship between GPA and salary. $\hat{y}=$ (c) At the 0.05 level of significance, test for a significant relationship using the $F$ test. Does there appear to be a significant statistical relationship between the two variables? State the null and alternative hypotheses. $\begin{array}{c}{H}_0:{?}_0=0\\ H_a:{?}_0?=0\\ H_0:{?}_1?=0\\ H_a:{?}_1=0\\ H_0:{?}_1?0\\ H_a:{?}_1<0\\ H_0:{?}_1=0\\ H_a:{?}_1?=0\\ H_0:{?}_0?=0\\ H_a:{?}_0=0\end{array}$ Find the value of the test statistic. (Round your answer to two decimal places.) Find the $p$-value. (Round your answer to three decimal places.) $p$-value $=$ State your conclusion. Do not reject $H_0$. There is a significant statistical relationship between GPA and salary. Do not reject $H_0$. There is not a significant statistical relationship between GPA and salary. Reject $H_0$. There is not a significant statistical relationship between GPA and salary. Reject $H_0$. There is a significant statistical relationship between GPA and salary.