Explain the reason we observe high correlations between S$1,$ S$2$ and S$3.$

$($ii$)$ Why do we observe negative correlations between price and sales?

$($iii$)$ AD and Shelf POS have low correlations with Sales. What is your explanation?

$($iv$)$ AD GRP is highly correlated to AD$.$ Is it desirable? Why?

$4$

$($v$)$ Store Size and AD is highly correlated in negative direction. Is it desirable? Why?

$[$Optional question: Correlations among price, AD and POS are $0.$ Explain why.$]$