[填空题]
Sandra operates a pizzeria that has 24 hours 4( heb3ah88fwayyht mo.3ys )delivery service. Sh5se02dioazos 6 k)p45q hf4zandra thinks that the daily total production cost, C , in euros (EUR), and the number of pizzas made per day2 zfsa4es0 opq 6ido)hkz54h5 , 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 =
