This problem uses the dataset gameData.xlsx that contains real$-$time strategy game data from $300$ players. The data contains the strategy of the players at the midpoint in the game. The column $$Soldier$$ reports the number of lethal units a player has to attack an opponent, and the column $$Worker$$ reports the number of workers to harvest economic resources. Larger numbers of soldiers suggest a strategy focused on security and larger number of workers suggest a strategy focused on economy.

Use this data for the following.

a$)[10$pt$]$ Visualize the data with a scatter plot. Label the axes properly. Visually determine how many clusters you should look for in a clustering problem. $($There is no single right answer here, but you need to justify your decision$)$

b$)[20$pt$]$ Formulate a k$-$means clustering problem to identify the cluster centers for the number of clusters you picked in part a$).$ Report screenshots of your setup from Excel$/$Python and describe your formulae.