The following data were collected in an experiment to study the relationship betweenextrusion pressure (in KPa) and wear (in mg).|150 175 200 225 250 27510.4 12.4 14.9 15.0 13.9 11.9yThe least-squares quadratic model is y = -32.445714 + 0.43154286x – 0.000982857x².Using this equation, compute the residuals.b. Compute the error sum of squares SSE and the total sum of squares SST.Compute the error variance estimate s².a.C.Compute the coefficient of determination R2.Compute the value of the F statistic for the hypothesis Ho : ß1 = B2 = 0. How manydegrees of freedom does this statistic have?Can the hypothesis Ho : B1 = B2 = 0 be rejected at the 5% level? Explain.d.e.f.

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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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The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T PConstant 0.8570 0.4148 2.06 0.84Weight 0.38243 0.02978 13.52 0.000 S = 0.517508 R-Sq = 97.4% (a) Write out the least-squares equation. y^= ______ + _____x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8651 0.4148 2.06 0.84 Weight 0.40619 0.02978 13.52 0.000 S = 0.517508 R-Sq = 97.0% (a) Write out the least-squares equation. y = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)
The following data is given: x -7 -4 -1 0 2 5 7 y 20 14 5 3 -2 -10 -15 Use linear least-squares regression to determine the coefficients m and b in the function y=mx+b that best fit the data.
The following table lists the birth weights (in pounds), x, and the lengths (in inches), y, for a set of newborn babies at a local hospital. Birth Weights and Lengths Birth Weight (in Pounds), x 1212 1010 88 1111 1111 33 55 44 77 66 Length (in Inches), y 2121 2020 1717 2222 2222 1616 1717 1616 1919 1919 Copy Data Step 1 of 2 : Find an equation of the least-squares regression line. Round your answer to three decimal places, if necessary.
In order to study the relationship between age and length of time that a smoker has been smoking, the following data were collected. x= age of a smoker y= years since he or she started smoking. x = y= 26 8 32 9 27 7 24 6 34 10 20 4 Compute the coorelation and find the least squares line.
Find the curve of best-fit y = axb to the following data by using the method of least square.
The following information relates to BCD Co. Month Usage Cost Jan. 600 P750 Feb. 650 775 Mar. 420 550 Apr. 500 650 May 450 570Using the least squares regression, what is the fixed cost element (to the nearest whole peso)?
The following data give the diffusion time (hours) ofa silicon wafer used in manufacturing integrated circuitsand the resulting sheet resistance of transfer:Diffusion time, x 0.56 1.10 1.58 2.00 2.45Sheet resistance, y 83.7 90.0 90.2 92.4 91.6(a) Find the equation of the least squares line fit to thesedata.(b) Predict the sheet resistance when the diffusion time is1.3 hours.
Consider the following two a.m. peak work trip generation models, estimated by household linear regression: T = 0.62 + 3.1 X1 + 1.4 X2 R2= 0.590 (2.3) (7.1) (5.9) T = 0.01 + 2.4 X1 + 1.2 Z1 + 4.0 Z2 R2= 0.598 (0.8) (4.2) (1.7) (3.1) X1 = number of workers in the household X2 = number of cars in the household, Z1 is a dummy variable which takes the value 1 if the household has one car, Z2 is a dummy variable which takes the value 1 if the household has two or more cars. Compare the two models and choose the best. If a zone has 1000 households, of which 50% have no car, 35% have one car, and the rest have exactly two cars, estimate the total number of trips generated by this zone. Use the preferred trip generation model and assume that each household has an average of two workers
The position of a particle x(t) on an axis has been monitored. The results are shown in the following table. t x(t)0 41 114 129 12 By the least squares method, fit the data to a quadratic model: Report x(10)
A security firm wants to renew the uniforms used by his personnel. It starts by collecting data on their height and weight. The following data was collected from the 19 employees Height (cm) Weight (kg) 168 72 175 88 167 84 171 87 161 67 164 55 177 82 170 60 167 60 184 77 183 98 163 53 186 77 165 64 173 89 161 65 179 77 169 64 174 87 a). Construct an equation to relate these variables, using the least-squares method to determine the regression coefficients, b0 and b1. b). Interpret the meaning of b0 and b1 in this problem. c) determine the coefficient of determination, r2 and interpret its meaning.
The following table shows the number, in millions, of women employed outside the home in the given year. Year Numberin millions 1942 16.11 1943 18.70 1944 19.17 1945 19.03 1946 16.78 (a) Use regression to find a quadratic model for the data. (Let t be the number of years since 1942. Round the regression parameters to three decimal places.) (b) Express using functional notation the number of women working outside the home in 1948, and then estimate that value. (Round your answer to two decimal places.)

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