Question
Two robots, Zeus and Mecha, are entered into a competition. Zeus has a height of 50 cm and Mecha has a height of 70 cm. a) Use the line of best fit to estimate the masses of Zeus and Mecha. b) Is your estimate for the mass of Zeus or Mecha more reliable? Write a sentence to explain your answer.
Answer
4.1
(203 Votes)
Ulric
Master · Tutor for 5 years
Answer
Unfortunately, the problem given above doesn't provide enough information to estimate the masses of Zeus and Mecha. For these assessments to be done, an appropriate relation between height and mass of the robots needs to be given, which is not presented in the question.It may include, but is not limited to a direct correlation or indirect correlation between the height and the weights of robots.a) To estimate the mass of the robots from their heights, usually we would use the "line of best fit" from a set of observations or experiments involving other robots of known height and mass. This line would give us an equation like 'mass = m * height + b'.b) In terms of reliability, there is no basis upon which we can choose preferentially between Zeus and Mecha's height-based mass estimates since any relationship between robot mass, height such as proportionality or incrementally could be missing or inversely related.So we strongly need additional information to solve this problem efficiently.