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little toast little toast
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Posts: 353
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6 years ago
Regression analysis involving one dependent variable and more than one independent variable is known as
 a. simple regression. b. linear regression.
  c. multiple regression. d. none of these.

Q. 2

If there are no other feasible solutions with a larger objective function value in the immediate neighborhood, then the feasible solution is known as
 a. a global maximum.
  b. infeasible.
  c. a nonlinear solution.
  d. a local maximum.

Q. 3

What would be the coefficient of determination if the total sum of squares (SST) is 23.29 and the sum of squares due to regression (SSR) is 10.03?
 a. 2.32 b. 0.43
  c. 0.19 d. 0.89

Q. 4

A feasible solution is a(n) ___________ if there are no other feasible solutions with a better objective function value in the immediate neighborhood.
 a. efficient frontier
  b. local optimum
  c. global maximum
  d. diverging function

Q. 5

The coefficient of determination
 a. takes values between 1 to +1 b. is equal to zero for a perfect fit.
  c. is equal to negative one for the poorest fit. d. is used to evaluate the goodness of fit.

Q. 6

The ___________ of a solution is a mathematical concept that refers to the set of points within a relatively close proximity of the solution.
 a. objective function contour
  b. neighborhood
  c. regression equation
  d. Lagrangian multiplier

Q. 7

The ___________ is a measure of the goodness of fit of the estimated regression equation. It can be interpreted as the proportion of the variability in the dependent variable y that is explained by the estimated regression equation.
 a. residual b. coefficient of determination
  c. dummy variable d. interaction variable

Q. 8

In a nonlinear problem, the rate of change of the objective function with respect to the right-hand side of a constraint is given by the
 a. slope of the contour line.
  b. local optimum.
  c. Reducing gradient.
  d. Lagrangian multiplier.
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Replies
wrote...
6 years ago
Ans. #1

c
RATIONALE: Multiple regression is regression analysis involving one dependent variable and more than one independent variable.

Ans. #2

d
RATIONALE: A feasible solution is a local maximum if there are no other feasible solutions with a larger objective function value in the immediate neighborhood.

Ans. #3

b
RATIONALE: The coefficient of determination r2 = SSR/SST. Substituting the given values we get r2 = 0.43.

Ans. #4

b
RATIONALE: A feasible solution is a local optimum if there are no other feasible solutions with a better objective function value in the immediate neighborhood.

Ans. #5

d
RATIONALE: The coefficient of determination is used to evaluate the goodness of fit for the estimated regression equation.

Ans. #6

b
RATIONALE: The neighborhood of a solution is a mathematical concept that refers to the set of points within a relatively close proximity of the solution.

Ans. #7

b
RATIONALE: Coefficient of determination is a measure of the goodness of fit of the estimated regression equation. It can be interpreted as the proportion of the variability in the dependent variable y that is explained by the estimated regression equation.

Ans. #8

d
RATIONALE: In a nonlinear problem, the rate of change of the objective function with respect to the right-hand side of a constraint is given by the Lagrangian multiplier.
little t. Author
wrote...
6 years ago
Helps a lot <3 Now I'm ready for my quiz
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