Explanation:
Mean of the number of new stores = (14 + 27 + 48 + 80 + 110 + 153 + 261 + 403 + 681)/9
Mean = 197.4444
Mx = 197.4444
Mean of the year = (1986 + 1987 + 1988 + 1989 + 1990 + 1991 + 1992 + 1993 + 1994)/9
Mean = 1990
My = 1990
Regression line:
[tex]\begin{gathered} \hat{y}\text{ = bX + }a \\ b\text{ =}\frac{\text{ sumo f products }}{su\text{ m of squares}}=\frac{4295}{388570.22} \\ b\text{ = }0.01105 \end{gathered}[/tex][tex]\begin{gathered} a\text{ = }M_y-bM_s \\ a\text{ = }1990-0.01105(197.4444)=1987.81824 \end{gathered}[/tex][tex]\hat{y}\text{ = }0.01105X+1987.81824[/tex]Plotting the line of best fit: