(Solved): 7.  (a) Develop a scatter diagram for these data. b) What does the scatter diagram developed i ...

(a) Develop a scatter diagram for these data. b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a positive linear relationship between \( x \) and \( y \). There appears to be no noticeable relationship between \( x \) and \( y \). There appears to be a negative linear relationship between \( x \) and \( y \). (c) Try to approximate the relationship between \( x \) and \( y \) by drawing a straight line through the data. (d) Develop the estimated regression equation by computing the values of \( b_{0} \) and \( b_{1} \) using \( b_{1}=\frac{\Sigma\left(x_{j}-\bar{x}\right)\left(y_{1}-\bar{y}\right)}{\Sigma\left(x_{1}-\bar{x}\right)^{2}} \) and \( b_{0}=\bar{y}-b_{1} \bar{x} \). \[ \hat{y}= \] (e) Use the estimated regression equation to predict the value of \( y \) when \( x=4 \).