Exam 17: Multiple Regression

A multiple regression model is assessed to be good if the error sum of squares SSE and the standard error of estimate s _e are both small, the coefficient of determination R ² is close to 1, and the value of the test statistic F is large.

Marc Anthony Concert At a recent Marc Anthony concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year. The following data were collected: An Excel output follows: {Marc Anthony Concert Narrative} Identify possible outliers.

When there is more than one independent variable in a regression model, we refer to the graphical depiction of the equation as a(n)____________________ rather than as a straight line.

Discuss two indicators that can be found in an analysis that suggest multicollinearity is present.

A multiple regression analysis involving three independent variables and 25 data points results in a value of 0.769 for the unadjusted coefficient of determination. Then, the adjusted coefficient of determination is:

Real Estate Builder A real estate builder wishes to determine how house size is influenced by family income, family size, and education of the head of household. House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years. A partial computer output is shown below. SUMMARY OUTPUT ANOVA   {Real Estate Builder Narrative} Which of the following values for the level of significance is the smallest for which the regression model as a whole is significant: a = .00005, .001, .01, and .05?

Some of the requirements for the error variable in a multiple regression model are that the probability distribution is ____________________ with a mean of ____________________.