Unit Cost in $2013=$

$($Q$\mathrm{.}5)$ Laurie Daley is examining customer$-$service costs in the southern region of Capitol Products. Capitol Products has more than $200$ separate electrical products that are sold with a six$-$month guarantee of full repair or replacement with a new product. When a product is returned by a customer, a service report is prepared. This service report includes details of the problem and the time and cost of resolving the problem. Weekly data for the most recent $8-$week period are as follows:

Week ${?}_{(})$ Customer$-$Service Department Costs Number of Service Reports

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$$13,700$

$190$

$20,900$

$275$

$13,000$

$115$

$18,800$

$395$

$14,000$

$265$

$21,500$

$455$

$16,900$

$340$

$21,000$

$305$

Questions:

Plot the relationship between customer$-$service costs and number of service reports. Is the relationship economically plausible $($reasonable$,$ acceptable$)?$

Using the high$-$low method compute cost function, relating customer$-$service costs to the number of service reports Calculate slope coefficient:

Calculate intercept $($constant$)$: