Assignment 3 - Multiple Linear Regression

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

scatter chart

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?

0.43

What would be the value of the sum of squares due to regression (SSR) if the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89?

18.43

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

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

slope of the true regression line

The least squares regression line minimizes the sum of the _____.

squared differences between actual and predicted y values

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

Multicollinearity

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

an F test

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 or 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

A variable used to model the effect of categorical independent variables in a regression model is known as a _____.

dummy variable

The coefficient of determination _____.

is used to evaluate the goodness of fit.

Which of the following regression models is used to model a nonlinear relationship between the independent and dependent variables by including the independent variable and the square of the independent variable in the model?

quadratic regression model

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

residual

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

zero