Exam 11: Regression Analysis: Statistical Inference

A confidence interval constructed around a point prediction from a regression model is called a prediction interval,because the actual point being estimated is not a population parameter.

In order to test the significance of a multiple regression model involving 4 explanatory variables and 40 observations,the numerator and denominator degrees of freedom for the critical value of F are 4 and 35,respectively.

Heteroscedasticity means that the variability of Y values is larger for some X values than for others.

Which of the following would be considered a definition of an outlier?

In multiple regression with k explanatory variables,the t-tests of the individual coefficients allows us to determine whether (for i = 1,2,….,k),which tells us whether a linear relationship exists between and Y.

When determining whether to include or exclude a variable in regression analysis,if the p-value associated with the variable's t-value is above some accepted significance value,such as 0.05,then the variable

In regression analysis,the total variation in the dependent variable Y,measured by and referred to as SST,can be decomposed into two parts: the explained variation,measured by SSR,and the unexplained variation,measured by SSE.

Which definition best describes parsimony?

Multicollinearity is a situation in which two or more of the explanatory variables are highly correlated with each other.

In regression analysis,homoscedasticity refers to constant error variance.

Which of the following is the relevant sampling distribution for regression coefficients?

Suppose you forecast the values of all of the independent variables and insert them into a multiple regression equation and obtain a point prediction for the dependent variable.You could then use the standard error of the estimate to obtain an approximate

In simple linear regression the test statistic for testing is t-distributed with n - 2 degrees of freedom.

A scatterplot that exhibits a "fan" shape (the variation of Y increases as X increases)is an example of

In a simple linear regression model,testing whether the slope of the population regression line could be zero is the same as testing whether or not the linear relationship between the response variable Y and the explanatory variable X is significant.

Determining which variables to include in regression analysis by estimating a series of regression equations by successively adding or deleting variables according to prescribed rules is referred to as _____ regression.

Forward regression

A multiple regression model involves 40 observations and 4 explanatory variables produces SST = 1000 and SSR = 804.The value of MSE is 5.6.

In testing the overall fit of a multiple regression model in which there are three explanatory variables,the null hypothesis is .

The objective typically used in the tree types of equation-building procedures is to find the equation with