32. The following data gives the melting points of an alloy of lead and zinc.Percentage of lead in the alloy(p)50607080Melting point (Q°c)205225248274Find the melting point of the alloy containing 54% of lead by Newton’s forward interpolatingpolynomial.

Newton's farword diffrence formula

Answered: 32. The following data gives the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. (2) Using data from 1950 to 1996 (N = 47 observations) the following equation for explaining wheat yield in the Mullewa Shire of Western Australia was estimated as YIELD, = 0.1717+0.01117t+0.05238Rain, (se) (0.1537) (0.00262) (0.01367) ... Where YIELD, is wheat yield in tonnes per hectare in year t; t =1, 2, . 47 is a trend variable to capture technolo change, and RAIN, is total rainfall in inches from May to October (the growing season) in year t. a) Interpret the coefficient estimates of t and Rain. b) Using a 5% significance level, test the null hypothesis that technological changes increase mean yield by 0.01 tonnes per hectare against the one-tailed alternative H₁ : ₂ >0.01. c) Using a 5% significance level, test the null hypothesis that an extra inch of rainfall increases mean yield by 0.03 tonnes per hectare against the one-tailed alternative H₁ : B3 > 0.03. d) Adding the square of rainfall to the equation yields YIELD, = -0.6759+0.011671t+0.2229 Rain, -0.008155 Rain? (se)…

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32. The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in the alloy(p) 50 60 70 80 Melting point (Q°c) 205 225 248 274 Find the melting point of the alloy containing 54% of lead by Newton's forward interpolating polynomial.