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

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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:

Week Units Total Etching Cost

$16$ $ $21$

$2723$

$31128$

$41227$

$51328$

$61429$

$63$ $ $156$

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

Exercise $5$A$-5$ Part $3($Algo$)$

$3.$ If the company processes fifteen units next week, what would be the expected total etching cost? $($Round your intermediate calculations and final answer to $2$ decimal places.$)$