QUANTITATIVE CH 7

_____ refers to the degree of correlation among independent variables in a regression model.

Multicollinearity

When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is _____.

ZERO

A _____ is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables.

scatter plot

A regression analysis involving one independent variable and one dependent variable is referred to as a _____.

simple linear regression

In the graph of the simple linear regression equation, the parameter ß1 is the _____ of the true regression line.

slope

In a simple linear regression model, y = ß0 + ß1x + ε the parameter ß1 represents the _____.

slope of the true regression line.

The graph of the simple linear regression equation is a(n) _____.

straight line

The _____ is a measure of the error that results from using the estimated regression equation to predict the values of the dependent variable in the sample.

sum of squares due to regression (SSR)

In a simple linear regression analysis the quantity that gives the amount by which the dependent variable changes for a unit change in the independent variable is called the _____.

slope of the regression line

The scatter chart below displays the residuals versus the dependent variable, x. Which of the following conclusions can be drawn from the scatter chart given below?

The residuals have an increasing variance as the dependent variable increases.

In the graph of the simple linear regression equation, the parameter ß0 represents the _____ of the true regression line.

y intercept

The scatter chart below displays the residuals versus the dependent variable, t. Which of the following conclusions can be drawn based upon this scatter chart?

Residuals are not independent.

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.

coefficient of determination

In a linear regression model, the variable that is being predicted or explained is known as _____. It is denoted by y and is often referred to as the response variable.

dependent variable

_____ is used to test the hypothesis that the values of the regression parameters ß1, ß2, ... ßq are all zero.

F TEST

The _____ is the range of values of the independent variables in the data used to estimate the regression model.

experimental region

In a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the _____. It(they) is(are) denoted by x.

independent variable

_____ is a statistical procedure used to develop an equation showing how two variables are related.

regression analysis

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the _____.

residual

The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are _____.

B0 and B1

In the simple linear regression model, the _____ accounts for the variability in the dependent variable that cannot be explained by the linear relationship between the variables.

error term

The coefficient of determination _____.

is used to evaluate the goodness of fit

A procedure for using sample data to find the estimated regression equation is _____.

least squares method

The degree of correlation among independent variables in a regression model is called _____.

multicollinearity

Regression analysis involving one dependent variable and more than one independent variable is known as ____.

multiple regression