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Exercise $5$A$-5($Algo$)$ Least$-$Squares Regression $[$LO$5-11]$

George Caloz & Fr$$res$,$ located in Grenchen, Switzerland, makes luxury custom watches in small lots. One of the

company's products, a platinum diving watch, goes through an etching process. The company has recorded etching costs

as follows over the last six weeks:

For planning purposes, management would like to know the variable etching cost per unit and the total fixed etching cost

per week.

Required: $1.$ Using the least$-$squares regression method, estimate the variable etching cost per unit and the total fixed etching cost per week.

$2.$Express these estimates in the form Y $=$ a $+$ bX $3.$If the company processes twelve units next week, what would be the expected total etching cost?