Use the following linear regression equation to answer the questions. x = 1.2 + 3.6x2 - 7.6x3 + 2.5x4 (a) Which variable is the response variable? Ox O Xa Which variables are the explanatory variables? (Select all that apply.) Ox, O x4 O x2 O x3 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant X2 coefficient Xy coefficient X4 coefficient (c) If x, - 8, X - 6, and x4 = 4, what is the predicted value for x,? (Use 1 decimal place.) O (d) Explain how each coefficient can be thought of as a "slope" under certain conditions. O It we look at all coefficients together, each one can be thought of as a "slope." O ft we hold all explanatory variables as fixed constants, the intercept can be thought of as a "slope." Oit we look at all coefficients together, the sum of them can be thought of as the overall "slope" of the regression line. O if we hold all other explanatory variables as fixed constants, then we can look at one coefficient as a "slope." Suppose x3 and x4 were held at fixed but arbitrary values and xz increased by 1 unit. What would be the corresponding change in x,? Suppose x2 increased by 2 units. What would be the expected change in x,? Suppose x2 decreased by 4 units. What would be the expected change in x1? (e) Suppose that n- 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x, is 0.321. Construct a 99% confidence interval for the coefficient of x2- (Use 2 decimal places.) lower limit upper limit
Use the following linear regression equation to answer the questions. x = 1.2 + 3.6x2 - 7.6x3 + 2.5x4 (a) Which variable is the response variable? Ox O Xa Which variables are the explanatory variables? (Select all that apply.) Ox, O x4 O x2 O x3 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant X2 coefficient Xy coefficient X4 coefficient (c) If x, - 8, X - 6, and x4 = 4, what is the predicted value for x,? (Use 1 decimal place.) O (d) Explain how each coefficient can be thought of as a "slope" under certain conditions. O It we look at all coefficients together, each one can be thought of as a "slope." O ft we hold all explanatory variables as fixed constants, the intercept can be thought of as a "slope." Oit we look at all coefficients together, the sum of them can be thought of as the overall "slope" of the regression line. O if we hold all other explanatory variables as fixed constants, then we can look at one coefficient as a "slope." Suppose x3 and x4 were held at fixed but arbitrary values and xz increased by 1 unit. What would be the corresponding change in x,? Suppose x2 increased by 2 units. What would be the expected change in x,? Suppose x2 decreased by 4 units. What would be the expected change in x1? (e) Suppose that n- 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x, is 0.321. Construct a 99% confidence interval for the coefficient of x2- (Use 2 decimal places.) lower limit upper limit
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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I need C-E answered. The first subpart was already answered. Thanks
Transcribed Image Text:Use the following linear regression equation to answer the questions.
X1 = 1.2 + 3.6x2 - 7.6x3 + 2.5x4
(a) Which variable is the response variable?
O x1
O X4
O x2
O x3
Which variables are the explanatory variables? (Select all that apply.)
O x1
O X4
O X3
(b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.
constant
X2 coefficient
X3 coefficient
X4 coefficient
(c) If x2 = 8, X3 = 6, and x4 = 4, what is the predicted value for x1? (Use 1 decimal place.)
(d) Explain how each coefficient can be thought of as a "slope" under certain conditions.
O If we look at all coefficients together, each one can be thought of as a "slope."
If we hold all explanatory variables as fixed constants, the intercept can be thought of as a "slope."
O If we look at all coefficients together, the sum of them can be thought of as the overall "slope" of the regression line.
O If we hold all other explanatory variables as fixed constants, then we can look at one coefficient as a "slope."
Suppose x3 and x4 were held at fixed but arbitrary values and x, increased by 1 unit. What would be the corresponding change in x,?
Suppose x2 increased by 2 units. What would be the expected change in x,?
Suppose x2 decreased by 4 units. What would be the expected change in x1?
(e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.321. Construct a 99% confidence interval for the coefficient of xɔ. (Use 2 decimal places.)
lower limit
upper limit
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