2. Zerox SERVICE TIMEThe Service Time Data and the Least Squares LineServiceCallNumber of CopiersServiced, xNumber of MinutesRequired, yCopiers Line Fit Plot200110922581503513847189100513738250 +103Minutes = 11.4641 + 24.6022°Copiers745134268Copiers10411211154Zerox-Copiers, Inc., sells and services the Accu-500 copying machine. As part of its standard servicecontract, the company agrees to perform routine service on this copier. To obtain information about thetime it takes to perform routine service, Zerox Copiers has collected data for 11 service calls. The dataand Excel output from fitting a least squares regression line to the data are given on the Table above.a. Find the least squares point estimates b0 and b1 on the computer output and report theirvalues. Interpret b0 and b1. Does the interpretation of b0 make practical sense?b. Use the least squares line to compute a point estimate of the mean time to service four copiersand a point prediction of the time to service four copiers on a single call.c. Make a complete analysis and conclusion.Minutes

Consider the data that contains the information of the time to service the copiers. The least-square…

Answered: Zerox-Copiers, Inc., sells and services…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Various doses of a poisonous substance were givento groups of 25 mice and the following results wereobserved: Dose (mg) Number of deathsx y4 16 38 610 812 1414 1616 20 (a) Find the equation of the least squares line fit tothese data.(b) Estimate the number of deaths in a group of 25 micethat receive a 7-milligram dose of this poison.
A study was conducted to detemine whether a the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 10 students are shown in the table below. Student Verbal Score x Final Grade y 1 37 43 2 38 46 3 33 39 4 57 67 5 60 74 6 64 80 7 47 59 8 66 76 9 28 30 10 53 62 Find the least squares line. ŷ = -2.89 + 1.2524 x Should the regression be used to predict the final grade of a student with a verbal score of 100? answer: ?
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.
Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states 4th Grade Proficiency 8th Grade Proficiency Arizona 15 21 California 11 18 Hawaii 16 16 Montana 22 37 New Mexico 13 13 Oregon 21 32 Utah 23 26 Wyoming 19 25 Construct a scatterplot and comment on any interesting characteristics Find the least squares equation. If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?
Let x be the number of different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs. x 10 12 14 16 18 20 y 1.7 1.6 1.6 1.4 1.0 0.7 (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x =? y =? = ?+ ?x (f) Suppose a pharmaceutical company has 12 different research programs. What does the least-squares equation forecast for y = mean number of patents per program? (Round your answer to two decimal places.) ? patents per program
Find the best-fitting least-squares linear and quadratic approximations to the data set{(1,2),(3,4),(5,7),(7,9),(9,12)}.
Determine the best (according to sum-of-squares-measure) curve y = ax2 + bx + c, throughthe data above.
The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national chain of discount stores. Because the tire is a new product, Greer’s managers believe that the mileage guarantee offered with the tire will be an important factor in the acceptance of the product. Let X = miles that the tires last: X~N(60,000 2,500) Find the mileage guarantee that ensures this company will repair no more than 15% of its product for free. Assume the distribution of tire mileage is normal.
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In a study of the causes of bearing wear, a machine was run 24 times, with various loads (denoted x1), oil viscosities (x2), and ambient temperatures (x3). The wear, denoted y, was modeled as y = β0 + β1x1 + β2x2 + β3x3 + ε. When this model was fit to the data, the sum of squares for error was SSE = 9.37. Then the reduced model y = β0 + β1x1 + β2x2 + β3x3 was fit, and the sum of squares for error was SSE = 27.49. Is it reasonable to use the reduced model, rather than the model containing all the interactions, to predict wear? Explain.
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