This question is a hybrid question.  Please clearly label a blank piece of paper with this question number and write your response to this question.

(In the examination you may be required to take a photo of your response at the end of the examination to upload).

This question is worth  2 + 1 + 1 + 3 = 7 marks

A gym operates a small café for its clients.  The owner wants to investigate the costs of ingredients used the cafe. Over a week, she records the daily costs of ingredients used.  These are shown in the table below:

a)  Give the five point statistics ( five number summary) for the cost data shown above.     [2 marks]

b)   Draw a boxplot to represent this information.  Clearly label your scale and all important features.    [2 marks]

The owner realises the cost of

preparing meals is probably linearly related to the number of meals prepared.  She decides to investigate the cost

for various numbers of meals prepared for clients. The data collected is shown below.

c)      Use your calculator to find the equation of the

least squares line that relates the cost of preparing meals to the number of

meals produced.  Give your equation in

the form

d)     

e

)      

f)     

(i)          42 meals. Does this prediction involve interpolating or extrapolating?

(ii)          5 meals.  Does this prediction involve interpolating or extrapolating?

(iii)          Comment on the reliability of both predictions

from (i) and (ii) above.        [3 marks]