If you wish to find the least squares line of best fit y = mx + c through the points (2, 1), (2, 3), and (5, 4), whatsystem should you solve?Select one alternative:[21]O AT Ax = A¹b, where A23,b= 1X =[m]542O AT Ax = ATb, where A = 2-E1--8--0b = 3 X =5[21]XO AT Ax = ATb, where A = 2 3 b =CX =5 4[21]O AT Ax= A¹b, where A = 21, b = 35, X=mс

The equation of the line is y=mx+c. The line passes through the points 2,1, 2,3, 5,4. Calculate the…

Answered: If you wish to find the least squares…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.1: Adding And Subtracting Polynomials

Problem 58PPS

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According to the data reported by the New York State Department of Health regarding West Nile Virus for the years 2000-2008, the least squares line equation for the number of reported dead birds (x) versus the number of human West Nile virus cases (y) is y=−10.2638+0.0491x. If the number of dead birds reported in a year is 732, how many human cases of West Nile virus can be expected? Also we know r=0.5490. No prediction can be made. 19.6 26 38.1
Each month for several months, the average temperature in °C (x) and the number of pounds of steam (y) consumed by a certain chemical plant were measured. The least-squares line computed from the resulting data is y = 245.82 + 1.13x. Predict the number of pounds of steam consumed in a month where the average temperature is 65°C. If two months differ in their average temperatures by 5°C, by how much do you predict the number of pounds of steam consumed to differ?
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In the manufacture of synthetic fiber, the fiber is often “set” by subjecting it to high temperatures. The object is to improve the shrinkage properties of the fiber. In a test of 23 yarn specimens, the relationship between temperature in °C (x) and shrinkage in % (y) was summarized by the least-squares line y = −12.789 + 0.133x. The total sum of square was ∑ni=1(yi−y⎯⎯)2∑i=1n(yi−y¯)2 = 57.313, and the estimated error variance was s2 = 0.0670. Compute the coefficient of determination r 2. Round the answer to three decimal places.
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In order to increase the production of gas wells, a procedure known as “hydraulic fracturing” is often used. Fracture fluid, which consists of fluid mixed with sand, is pumped into the well. The following figure presents a scatterplot of the monthly production versus the volume of fracture fluid pumped for 255 gas wells. Both production and fluid are expressed in units of volume per foot of depth of the well. The least-squares line is superimposed. The equation of the least-squares line is y = 106.11 + 0.1119x. From the least-squares line, estimate the production for a well into which 4000 gal/ft are pumped. Round the answer to three decimal places.
A firm that manufactures specialty bicycles has a profit functionπ = 5x2 − 10xy + 3y2 + 240xwhere x denotes the number of frames and y denotes the number of wheels. Find the maximum profit assuming that the firm does not want any spare frames or wheels left over at the end of the production run.
y = V5 + x², y=0, x=0, x= 2

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If you wish to find the least squares line of best fit y = mx + c through the points (2, 1), (2, 3), and (5, 4), what system should you solve? otivo