Refer to Table 1 . Use quadratic regression to find the best model of the form y = a x 2 + b x + c for boat speed y (in miles per hour) as a function of engine speed x (in revolutions per minute). Estimate the boat speed (in miles per hour, to one decimal place) at an engine speed of 3 , 400 rpm.
Refer to Table 1 . Use quadratic regression to find the best model of the form y = a x 2 + b x + c for boat speed y (in miles per hour) as a function of engine speed x (in revolutions per minute). Estimate the boat speed (in miles per hour, to one decimal place) at an engine speed of 3 , 400 rpm.
Solution Summary: The author calculates the best model of the form y=ax2+bx+c by using quadratic regression.
Refer to Table
1
. Use quadratic regression to find the best model of the form
y
=
a
x
2
+
b
x
+
c
for boat speed
y
(in miles per hour) as a function of engine speed
x
(in revolutions per minute). Estimate the boat speed (in miles per hour, to one decimal place) at an engine speed of
3
,
400
rpm.
Question 2
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially
serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer
to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content
(B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and
the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The
data are shown in Table 2.
1
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant
main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an…
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The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18pi
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