Question: SOLVE the below some problems An experiment was conducted in order to determine if cereoral olood flow.r in human beings c be predicted from arterial
SOLVE the below some problems









An experiment was conducted in order to determine if cereoral olood flow.r in human beings c be predicted from arterial oxygen tension (millimeters of mercury}. Fifteen patients participatu the study, and the following data were oollected: Bleed Flew, Arterial Oxygen gr Tension, a: 84.33 003.40 87.80 582.50 82.20 550.30 78.31 504.00 78.44 558.00 80.01 575.30 83.53 580.10 70.40 451 .30 75.23 404.00 70.58 484.00 77.00 452 .40 78.80 448.40 80.07 334.80 80.00 320.30 78.30 350.30 Estimate the quadratic regression equation 0|x=n3o+51x+zxz Suppose in Review Exercise 11.53 on page 43? that we were also given the number of class periods missed by the 12 students taking the chemistry course. The complete data are shown. Ghemistryr Test Classes Student Grade, 3; Score, {cl Missed, 152 1 35 65 1 2 7'4 50 '3' 3 7'5 55 5 4 QB 65 2 5 35 55 5 5 3T '30 3 '3' Q4 55 2 B 98 1'0 5 Q 31 55 4 1t] 91 '31:] 3 1 1 75 5D 1 12 7'4 55 4 A {3) Fit a multiple linear regression equation of the form y = on i 511:1 + 5212. {o} Estimate the chemistry.r grade for a student who has an intelligence test score of ED and missed 4 classes. The following data are given: 0 2 3 4 5 6 y 3 2 3 4 (a) Fit the cubic model Pyx = BotBix+B2x-+83x3. (b) Predict Y when x = 2.A set of experimental runs was made to determine a way of predicting cooking time y at various values of oven width x, and flue temperature x2. The coded data were recorded as follows: y T1 6.40 1.32 1.15 15.05 2.69 3.40 18.75 3.56 4.10 30.25 4.41 8.75 44.85 5.35 14.82 48.94 6.20 15.15 51.55 7.12 15.32 61.50 8.87 18.18 100.44 9.80 35.19 111.42 10.65 40.40 Estimate the multiple linear regression equation Py xx, = Bo+ 81X1 + 32X2-An experiment was conducted to determine if the weight of an animal can be predicted after a given period of time on the basis of the initial weight of the animal and the amount of feed that was eaten. The following data, measured in kilograms, were recorded: (a) Fit a multiple regression equation of the form (b) Predict the final weight of an animal having an initial weight of 35 kilograms that is given 250 kilograms of feed.(a) Fit a multiple regression equation of the form My |x = Bo + 81X1 + B2x-. to the data of Example 11.8 on page 420. (b) Estimate the yield of the chemical reaction for a temperature of 225C.An experiment was conducted on a new model of a particular make of automobile to determine the stopping distance at various speeds. The following data were recorded. Speed, v (km/hr) 35 50 65 80 95 110 Stopping Distance, d (m) 16 26 41 62 88 119 (a) Fit a multiple regression curve of the form /Djv = Bo + Biv + 3212. (b) Estimate the stopping distance when the car is traveling at 70 kilometers per hour.The following is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of some additive: Concentration, Compressive Strength, y 10.0 25.2 27.3 28.7 15.0 29.8 31.1 27.8 20.0 31.2 32.6 29.7 25.0 31.7 30.1 32.3 30.0 29.4 30.8 32.8 (a) Estimate the quadratic regression equation My |x = Bo + Bix + B2x-. (b) Test for lack of fit of the model.The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x, the number of days in the month x2, the average product purity *3, and the tons of product produced x4. The past year's historical data are available and are presented in the following table. y TA 240 25 24 91 100 236 31 21 90 95 290 45 24 88 110 274 60 25 87 88 301 65 25 91 94 316 72 26 94 99 300 80 25 87 97 296 84 25 86 96 267 75 24 88 110 276 60 25 91 105 288 50 25 90 100 261 38 23 89 98 (a) Fit a multiple linear regression model using the above data set. (b) Predict power consumption for a month in which x, = 75' F, X2 = 24 days, X3 = 90%, and X4 = 98 tons
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