The article "Mathematical Modeling of the Argon-Oxygen Decarburization RefiningProcess of Stainless Steel: Part II. Application of the Model to Industrial Practice" (J. Weiand D. Zhu, Metallurgical and Materials Transactions B, 2001:212-217) presents thecarbon content (in mass %) and bath temperature (in K) for 32 heats of austenitic stainlesssteel. These data are shown in the following table.Carbon %Temp.197519231947221954161992171965181971122046241945171984201991 191965221963181949221960201960191953181962191985191946151986201946221950151979151989171983201966211972171989181984231967131954151977a Compute the least-squares line for predicting bath temperature (y) from carbon content(x).b. Identify two outliers. Compute the two least-squares lines that result from the deletionof each outlier individually, and the least-squares line that results from the deletion ofboth outliers.Are the least-squares lines computed in parts (a) and (b) similar? If so, report the linethat was fit to the full data set, along with 95% confidence intervals for the slope andintercept. If not, report the range of slopes, without a confidence interval.

Answered: The article "Mathematical Modeling of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(b) For the (x, y) data set of part (a), compute the equation of the sample least-squares line ŷ = a + bx. (Use 4 decimal places.) a b If the per capita spending was x = $39 one year, what do you predict for the spending the next year? (Use 2 decimal places.) $ per capita (c) Compute the sample correlation coefficient r and the coefficient of determination r2. (Use 4 decimal places.) r r2 Test ρ > 0 at the 1% level of significance. (Use 2 decimal places.) t critical t
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.6667, sy = 2.2509, y= 3.6833, s, = 1.8809, and r= - 0.9511, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 6 6 y 5.0 6.3 4.2 3.4 1.4 1.8 (a) Choose the correct graph below. OA. B. OC. OD. Ay 74 Ay Ay 7- .. .. There appears to be a linear, negative relationship. (b) y=x+ O (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. B. OC. D. Ay 0-
2. Use the variables in the table below to fill in the independent/explanatory variables for this distributed lag model. Remember, there will be some blank spots where we don't have the data available in this sample. ( Y: Xe-1 (lagged 1 Xe2 Xt3 period) 1999 $4.2 $1.3 2000 $5.6 $0.8 2001 $5.91 $1.7 2002 $6.23 $0.96 2003 $7.19 $1.53 2004 $8.76 $1.49 2005 $9.05 $1.2
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x =3.5000, s, = 2.2583, y = 4.4667, s, = 1.7682, and r= -0.9416, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 6 3 4 5.4 68 5.6 4.0 2.3 2.7 1 y (a) Choose the correct graph below. O A Oc. Q There appears to be V relationship (b) y=+ O (Round to three decimal places as needed.) (c) Choose the correct graph below. O A OB. OC. OD.
In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSxx = 1303.9 SSy= 1503.0 SSy = 2660.2 Ex = 150 .1 Ey = 915 n= 16 %3D %3D 1sxs 34 36.7 s y s 90.5 Calculate the linear correlation coefficient for percent employment in STEM and annual compensation and enter your answer below accurate to two decimal places.
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.6667, sx =2.4221, y = 3.8667, sy = 1.8435, andr= -0.9525, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). D O A. (a) Choose the correct graph below. Ay 6- X y 0 0 2 3 5 6 6 5.8 5.7 5.0 2.8 1.7 2.2 O G B. Ay 6- Q (...) C. 0- ● Q D. Ау 0- X 6
Calculate the co-efficient of correlation and obtain the least square regression lines for the following data : 3 x: . 1 2 4 5 6 7 8 9 у: 8 10 12 11 13 14 16 15 Also obtain an estimate of y which should correspond on the average to x = 6.2.
Name Her Age His Age Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 Bill and Hillary Clinton 45 46 Ronald and Nancy Reagan 55 64 Gerald and Betty Ford 59 69 Lyndon and Lady Bird Johnson 56 61 John and Jacqueline Kennedy 31 43 Dwight and Mamie Eisenhower 50 55 (c) Remove the outlier and compute the least-squares regression line for predicting the president's age from first lady's age. Round the slope and y -intercept values to at least four decimal places. Regression line equation: =y
Consider the following pairs of measurements: a. Use Stata to chart a scattergram for the data. Show the graph below. X 5 8 3 4 9 Y 6.2 3.4 7.5 8.1 3.2 b. Use Stata to estimate the least squares model between X and Y. Copy the output below and specify the least squares equation. c. What are SSE, s2, and s?
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x=3.8333, sx=2.4014, y=3.6500, sy=1.7942, and r=−0.9539, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
Please answer the all subparts in needed in 35-40 minutes thank u

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