3. Diamonds are graded by the five C's: carats, clarity, cut, colour, and certification. A carat is a measure of the size of the diamond. So, for diamonds with similar clarity, cut, colour, and certification, the cost will depend on the size. Size (carats) | Cost ($) 0.23 610 0.25 639 0.28 679 0.30 821 0.32 899 0.39 1056 0.42 1136 0.46 1104 0.74 2879 1.01 4066 1.04 5618 a) Draw a scatter plot of the data. b) Perform linear, quadratic, and exponential regressions on the data. c) Which do you think is best for modelling the relation between the size in carats and the cost of a diamond: linear, quadratic, exponential relation? Justify your answer.

3. Diamonds are graded by the five C's: carats, clarity, cut, colour, and certification. A carat is a measure of the size of the diamond. So, for diamonds with similar clarity, cut, colour, and certification, the cost will depend on the size. Size (carats) | Cost ($) 0.23 610 0.25 639 0.28 679 0.30 821 0.32 899 0.39 1056 0.42 1136 0.46 1104 0.74 2879 1.01 4066 1.04 5618 a) Draw a scatter plot of the data. b) Perform linear, quadratic, and exponential regressions on the data. c) Which do you think is best for modelling the relation between the size in carats and the cost of a diamond: linear, quadratic, exponential relation? Justify your answer.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

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