[填空题]
Sandra operates a pizzeripg-gb4t9sx ey)hv jz5l s(u 61a that has 24 h kcj9x0wvb/+un oh /s*ours delivery service. Sandra thinks that the daily total production cost, C , in euros (EUR), and the number of pizzas made per day, N , can be related by the equati +/oujvn*9 0sw/ xcbkhon
$C=a N^{b}+K$,
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 =
