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Linear Algebra and Its Applications (5th Edition)
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- Some people don't gain weight even when they overeat. Perhaps fidgeting and other “nonexercise activity" (NEA) explains why – the body might spontaneously increase nonexercise activity when fed more. Researchers deliberately overfed 16 healthy young adults for 8 weeks. They measured fat gain (y, in kilograms) and increase in energy use (NEA) (x, in calories), as an explanatory variable, from activity other than deliberated exercise – fidgeting, daily living, and the like. Here are the data (sorted by NEA): NEA increase -94 -57 -29 135 143 151 245 355 620 690 Fat gain 4.2 3.0 3.7 2.7 3.2 3.6 2.4 1.3 2.3 1.1 Assume that the model Fat gain= Bo +B,NEA increase +ɛ is reasonable. Selected SAS output are given here. 0.73985 R-Square 0.6061 2.38750 Adj R-Sq 0.5780 Root MSE Dependent Mean Coeff Var 30.98860 Parameter Estimates Variable DF Parameter Estimate Standard Error t Value Pr > It| Intercept 1 3.50512 0.30362 11.54 <.0001 1 -0.00344 0.00074141 -4.64 0.0004 nea (a) Find the average fat…arrow_forwardTo determine if the listing price of a house influences the selling price; a financial analyst sampled fifty houses and collected data on sale price,Y,(in $’000) and listed price,X,(in$’000) and fitted a regression model to the dataarrow_forwardSuppose you obtain the following regression model, E[y]=20+47*x +88*x^2. What is the impact of a 64 unit change of x on the expected value of y when x is at its mean of 57?arrow_forward
- DO NOT USE MICROSOFT EXCEL. Show the step-by-step solution and create a NORMAL CURVE for the problem.arrow_forwarda. Show that the regression R2 in the regression of Y on X is the squaredvalue of the sample correlation between X and Y. That is, show thatR2 = r2XY.b. Show that the R2 from the regression of Y on X is the same as the R2from the regression of X on Y. c. Show that ^β1 = rXY (sY/sX), where rXY is the sample correlationbetween X and Y, and sX and sY are the sample standard deviationsof X and Y.arrow_forwardThere is a relationship between the following variables as y = 1 / (a * x ^ b) (x ^ b: means x over b). a) Calculate the correlation coefficient and interpret the degree of the relationship? b) Estimate the y value for x = 4.3 and the x value for y = 0.90 by obtaining the regression equation. x 1.2 1.5 2.0 3.0 4.0 5.0 y 0.58 0.50 0.32 0.18 0.15 0.10 x 1.2 1.5 2.0 3.0 4.0 5.0 y 0.58 0.50 0.32 0.18 0.15 0.10arrow_forward
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- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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