Answered: 1 1.5 2 2.5 3 0.4 1.7 3.9 7.7 13.6

Math

Advanced Math

1 1.5 2 2.5 3 0.4 1.7 3.9 7.7 13.6

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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The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft?). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y). Temp. 173 175 176 177 177 178 179 180 Ratio 0.94 1.21 1.44 1.05 1.09 1.02 0.96 1.88 Temp. 183 183 183 183 183 184 184 185 Ratio 1.53 1.50 1.57 2.07 2.05 0.86 1.53 0.80 Temp. 185 185 185 187 187 188 189 191 Ratio 1.71 1.96 2.76 1.59 2.60 3.10 1.81 3.18 In USE SALT (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 185. (Round your answer to four decimal places.) (c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 185. (Round your answers to two decimal places.) (185, 0.80) (185, 1.71) (185, 1.96) (185, 2.76) Why do they not all have…
Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with Infrared Spectroscopy".† x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651 y 334 342 355 363 365 372 381 392 400 412 420 Here is regression output from Minitab: Predictor Constant absorb S = 3.60498 Coef 321.878 156.711 SOURCE Regression Residual Error Total SE Coef 2.483 6.464 R-Sq = 98.5% DF 1 9 10 SS 7639.0 117.0 7756.0 T 129.64 24.24 0.000 0.000 R-Sq (adj) = 98.3% MS 7639.0 13.0 F P 587.81 (a) Does the simple linear regression model appear to be…
Use Linear, Quaratic and Cubic interpolations to solve the question.
2. . in usie table below. (Notice that the year 2010 data is missing.) The total cost of a federal government program in millions of dollars is shown year 2005 2006 2007 2008 2009 2011 2012 2013 2014 2015 2016 $ in mil. 731 782 833 886 956 1159 1267 1367 1436 1505 1562 (b) Determine and plot a clamped cubic spline for the data (using the appropriate slopes at 2005 and 2016). Use it to estimate the 2010 cost and compare to the actual value of $1,049 (in mil.) 1 (c) Perform a least-squares analysis and estimate the 2010 cost and compare to the actual value of $1,049 (in mil). (Choose an appropriate least squares linear or polynomial model.)
The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Cost per Serving Fiber per Serving Cost per Serving Fiber per Serving r = 35 46 49 62 r = 41 19 77 71 30 9.3 10 10 7 6.4 7 7 10 12 10 9.6 7 8 8 Cost per Fiber per Cup Cup 7 12 12 8 USE SALT 49 46 49 (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) 62 32.8 Interpret the value of the correlation coefficient. O There is a strong positive linear relationship between cost per serving and fiber per serving. O There is a weak negative linear relationship between cost per serving and fiber per serving. O There is a weak positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. 19 53 (b) The serving…
Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)
Why is the coefficient of variation important? What do we mean when we say that the coefficient of variation has no units? What advantage can there be in having no units? Why is relative size important?
In the manufacture of commercial wood products, it is important to estimate the relationship between the density of a wood product and its stiffness. between the density of a wood product and its stiffness. A relatively new type of chipboard is being considered chipboard that can be formed much more easily than the already accepted commercial product. It is It is necessary to know at what density its stiffness is comparable to that of the well known and documented commercial product. documented commercial product. Thirty particleboard boards were produced with densities ranging from approximately 8 to 26 pounds per cubic foot and their stiffness was measured in pounds per square inch. The following table the data obtained are presented. Calculate the following with a significance level of 95%.It is recommended in excel