Problem $1$: Tyler$$s Gelato Inc. $($Forecasting Costs$)$ Tyler$$s Gelato Inc. is a restaurant that provides catering services. Tyler, the owner of Tyler$$s Gelato Inc., is trying to forecast operating costs for the next month. Tyler estimates that the company will receive $100$ orders next month. To estimate operating costs, Tyler collected operating costs for the past $18$ months Month Operating Costs # of Orders $1$ $$1,820612$ $$2,220813$ $$2,250854$ $$1,956695$ $$2,370856$ $$1,840627$ $$2,546938$ $$1,628589$ $$2,3009810$ $$2,4448111$ $$2,0807912$ $$2,6128813$ $$2,6809614$ $$1,9207515$ $$2,1808316$ $$2,2609117$ $$2,3109518$ $$2,18089(1)$ Using High$-$Low method, a$)$ What are the estimated monthly fixed costs and the variable cost per order? $(2$ points$)$ b$)$ What is the estimated operating cost for $100$ orders if Tyler uses the High$-$Low method? $(1$ point$)(2)$ Using simple regression, a$)$ What are the estimated monthly fixed costs and the variable cost per order? $(2$ points$)$ b$)$ What percentage of the variation in costs is explained by the regression equation? $(0\mathrm{.}5$ points$)$ c$)$ What is the estimated operating cost for $100$ orders if Tyler uses regression analysis? $(0\mathrm{.}5$ points$)$