Given three data points (1,6), (3, 28), and (10, 231), it is found that the function y=2x2+3x+1 passes through all the three data points. Yourestimate of y at x = 5.8 is

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Answered: Given three data points (1, 6), (3,…

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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Below is the data for speed vs fuel consumption. The first set is speed(x); the second is fuel (y). if x = 10, y = 21 if x = 20 y =13, if x=30 y=10 if x = 40 y =8 if x = 50 y=7 if x =60 y = 5.9 if x = 70 y = 6.3 if x = 80 y = 6.95 if x = 90 y = 7.57 if x = 100 y = 8.27 if x = 110 y = 9.03 if x = 120 y = 9.87 if x = 130 y = 10.79 if x = 140 y = 11.77 and if x = 150 y =12.83. The equation of the LSR line is y^ = 11.058 - .015x The average of (x, y) are (80, 9.9) respectively. Find another point using the LSR equation, and graph the line
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.50 6.25 6.75 7.50 8.00 y 6 15 14 52 58 Find ȳ. Group of answer choices –34.75 –17.40 34.75 29.00 17.40
When coastal power stations take in large quantities of cooling water, it is inevitable that a number of fish are drawn in with the water. Various methods have been designed to screen out the fish. A particular article examined intake fish catch at an English power plant and several other variables thought to affect fish intake. y = fish intake (number of fish) = water temperature (°C) X1 x2 x3 X4 = number of pumps running = sea state (values 0, 1, 2, or 3) = speed (knots) Part of the data given in the article were used to obtain the estimated regression equation (based on n = 26). SSRegr = 1486.4 and SSResid = 2230.3 were also calculated. y = 92 2.18x₁-19.20x29.38x3 + 2.32x4 (a) What proportion of observed variation in fish intake can be explained by the model relationship? (Round your answer to four decimal places, if needed.) R² = (b) Estimate the value of o. (Round your answer to three decimal places, if needed.) Se (c) Calculate adjusted R². (Round your answer to four decimal…
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It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: 5.00 5.75 6.00 6.50 7.25 12 31 41 52 56 Find o for the equation of the least-squares line y =a+bx. -0.046 20.195 0.046 -0.009 -0.055
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For item 1 to 5, referring to Table 3.5. Consider the ff. data set, in which a maker of asphalt shingles is interested in the relationship between sales for a particular year and factors that influence sales. Y- sales(in thou $); X1- promotional accounts; X2- active accounts; X3- competing brands; X4- potential Table 3.5 Y X1 X2 X3 X4 291.9 9 56 10 160 4 42 4 339.4 6.5 73 16 159.6 5.5 60 11 7 86.3 5 44 12 12 237.5 6 50 6 6 107.2 5 39 4 6805 10

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Given three data points (1, 6), (3, 28), and (10, 231), it is found that the function y=2x2 +3x+1 passes through all the three data points. Your estimate of y at x = 5.8 is