[填空题]
Sandra operates a pizzerkl-tcmk3k a j(n2q*b5 ia that has 24 hour y0;u7- bhau*ndagdkq 75 lr9xs delivery service. Sandra thinks that the daiy *;a-7akl udgqd5r9 xh 07nbuly total production cost, C , in euros (EUR), and the number of pizzas made per day, N , can be related by the equation
$C=a N^{b}+K$,
where a, b and K are positive constants.
Sandra estimates that the daily total fixed cost of operating the pizzeria is 1000 EUR.
1. Write down the value of K .
After analysing the bookkeeping records of a particular working week, Sandra finds the data given below.
2. Draw a scatter diagram of $\log _{2}(C-K)$ versus $\log _{2} N$ , scaling and shifting the axes if needed.
3. State the type of model that best fits the data displayed on your scatter diagram from part (b).
4. Write down the equation of the regression line of $\log _{2}(C-K)$ on $\log _{2} N$ .
5. Hence find the value of a and the value of b .
Sandra wants to increase the selling rate of pizzas up to 800 items per day. a = b =
6. Using Sandra's equation, estimate the daily total cost of producing 800 pizzas.≈
7. State whether it is valid to use Sandra's equation to estimate the daily total cost of producing 800 pizzas. Give a reason for your answer.
8. 1. Describe how the data must be entered into your G.D.C. to determine Sandra's equation using power regression method.
2. Hence verify vour answers to nart (e) a = b =
