Question
Question 1 (10 Marks) As part of an investigation into the management of household waste, a random sample of 404 households was taken and, for
Question 1 (10 Marks)
As part of an investigation into the management of household waste, a random sample of 404 households was taken and, for each, data was collected on:
WASTE: The amount of waste produced per week (kg)
SIZE: The size of the house (m2)
CHILDREN: The number of children normally living in the house
ADULTS: The number of adults normally living in the house
These variables were used to build a regression equation:
WASTE = 7.194 + 0.0002SIZE + 1.103CHILDREN + 1.042ADULTS
R2= 0.352
(a)What is the predicted weekly waste for a house covering 200 m2comprising 2 adults and 3 children?
[2 Marks]
.......................................................................................12.627 KG...............
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(b)What does the R2figure indicate?What does it tell you about any predictions
[2 Marks]
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(c)What does the coefficient of 0.0002 for SIZE tell you about the effect of an extra square metre of floor space on household waste?
[2 Marks]
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(d)What is the predicted weekly waste for a house covering 5000 m2comprising 1 adult and 0 children?How good do you think this prediction is likely to be bearing in mind that the largest household in the sample of 404 is 236 m2in size? (your answer should not exceed 100 words)
[4 Marks]
9.236 KG......................................................................................................................
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