X3 = -18.8 + 4.0x, + 9.3x4 - 1.3x, (a) Which variable is the response variable? Which variables are the explanatory variables? (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. (c) If x1 X3? = 10, X4 = -4, and x- = 4, what is the predicted value for (d) Explain how each coefficient can be thought of as a "slope" under certain conditions. Suppose x, and x7 were held at fixed but arbitrary values. If x4 increased by 1 unit, what would we expect the corresponding change in x3 to be? If x4 increased by 3 units, what would be the corresponding expected change in x3? If X4 decreased by 2 units, what would we expect for the corresponding change in x3? (e) Suppose that n = 11 data points were used to construct the given regression equation and that the standard error for the coefficient of x¼ is 0.857. Construct a 90% confidence interval for the coefficient of x4. (f) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of xĄ is different from zero. Explain how the conclusion has a bearing on the regression equation.

X3 = -18.8 + 4.0x, + 9.3x4 - 1.3x, (a) Which variable is the response variable? Which variables are the explanatory variables? (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. (c) If x1 X3? = 10, X4 = -4, and x- = 4, what is the predicted value for (d) Explain how each coefficient can be thought of as a "slope" under certain conditions. Suppose x, and x7 were held at fixed but arbitrary values. If x4 increased by 1 unit, what would we expect the corresponding change in x3 to be? If x4 increased by 3 units, what would be the corresponding expected change in x3? If X4 decreased by 2 units, what would we expect for the corresponding change in x3? (e) Suppose that n = 11 data points were used to construct the given regression equation and that the standard error for the coefficient of x¼ is 0.857. Construct a 90% confidence interval for the coefficient of x4. (f) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of xĄ is different from zero. Explain how the conclusion has a bearing on the regression equation.

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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