Serenity Living manufactures gas fireplaces for home use. Each unit produced goes through a complex quality control process. The company has observed quality control costs as follows over the past $16$ weeks:

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WeekUnits ProducedTotal Quality Control Costs$138$$$730229$$$590344$$$810426$$$570532$$$670641$$$770734$$$665835$$$678931$$$5881033$$$6231136$$$6931243$$$8201340$$$7561428$$$5201530$$$5731656$$$803$

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For planning purposes, the company$$s management wants to know the amount of variable quality control costs per unit and the total fixed quality control costs per week.

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Required:

$1.$ Using the least$-$squares regression method, estimate the variable and fixed elements of the quality control cost. $($Round variable cost to $2$ decimal places.$)$

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$2.$ If the company produces $34$ gas fireplaces next week, what are the expected total quality control costs? $($Round intermediate and final value to $2$ decimal places.$)$