Exam 14: Simple Linear Regression Analysis

If we are testing the significance of the independent variable X₁ and we reject the null hypothesis H₀: β₁ = 0,we conclude that

Stepwise regression uses a series of ___________ tests during each iteration in order to determine which independent variables should be brought into the regression model.

A neural network model is nonlinear.

Backward elimination regression is an automatic model-building procedure.

When the F test is used to test the overall significance of a multiple regression model,if the null hypothesis is rejected,it can be concluded that all of the independent variables x₁,x₂,... ,x_k are significantly related to the dependent variable y.

The effects of different levels of qualitative independent variables are described using ___________ variables.

Cook's distance measure is used to detect if an outlier might influence the estimate of a model's parameter.

Assumptions of a regression model can be evaluated by plotting and analyzing the ____________.

The multiple correlation coefficient can assume any value between zero and 1,inclusive.

The odds of an event occurring is the probability that the event will not occur divided by the probability that the event will occur.

In contrast to stepwise regression,backward elimination is an iterative model selection procedure that begins withall potential independent variables and then attempts to remove them one at a time based on the p-value of the independent variable.

The multiple _________ measures the proportion of the variation in y (response variable)explained by the multiple regression model or the set of independent variables included in the multiple regression equation.

The error term in the regression model describes the effects of all factors other than the independent variables on y (response variable).

Significant _________ may exist when the overall F statistic is significant and the individual t statistics for all independent variables are insignificant.

Neural network modeling represents the response variable as a linear function of the predictor variables.

If it is desired to include marital status in a multiple regression model by using the categories single,married,separated,divorced,and widowed,what will be the effect on the model?

For the same point estimate of the dependent variable and the same level of significance,the confidence interval is always wider than the corresponding prediction interval.

In multiple regression analysis,the mean square regression divided by mean square error yields the _________.

A single-layer perceptron neural network model consists of one layer called the hidden layer.

Regression models that employ more than one independent variable are referred to as multiple regression models.