Stat 252 Regression
in regression analysis, the variable that is being predicted is the a. dependent variable b. independent variable c. intervening variable d. none of the above answers is correct
a. dependent variable
if the coefficient of correlation is a positive value, then the slope of the regression line a. must also be positive b. can be either negative or positive c. can be zero d. none of the above answers is correct
a. must also be positive
if all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on this data is a. 0 b. 1 c. either 1 or -1, depending upon whether the relationship is positive or negative d. could be any value between -1 or 1 e. none of the above answers is correct
b. 1
if the coefficient of determination is equal to 1, then the coefficient of correlation a. must also be equal to 1 b. can be either -1 or +1 c. can be any value between -1 to +1 d. must be -1 e. none of the above answers is correct
b. can be either -1 or +1
in regression analysis, the response variable is the a. independent variable b. dependent variable c. slope of the regression function d. intercept e. none of the above answers is correct
b. dependent variable
if the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the variation in the independent variable a. is 40% b. is 16% c. is 4% d. can be any positive value e. none of he above answers is correct
b. is 16%
if the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in the independent variable a. is .90% b. is 90% c. is .81% d. can be any positive value e. none of the above answers is correct
b. is 90%
the coefficient of correlation a. is the square of the coefficient of determination b. is the square root of the coefficient of determination c. is the same as r-square d. can never be negative e. none of the above answers is correct
b. is the square root of the coefficient of determination
the coefficient of correlation a. is the square of the coefficient of determination b. is the square root of the coefficient of determination c. is the same as r-square d. can never be negative e. none of the above answers is correct
b. is the square root of the coefficient of determination
the equation that describes how the dependent variable (y) is related to the independent variable (x) is called a. the correlation model b. the regression model c. correlation analysis d. none of the above answers is correct
b. the regression model
correlation analysis is used to determine a. the equation of the regression line b. the strength of the relationship between the dependent & the independent variables c. a specific value of the dependent variable for a given value of the independent variable d. all of the above are correct statements
b. the strength of the relationship between the dependent & the independent variables
in regression analysis, the independent variable is a. used to predict other independent variables b. used to predict the dependent variable c. called the intervening variable d. none of the above answers is correct
b. used to predict the dependent variable
if the coefficient of determination is a positive value, then the regression equation a. must have a positive slope b. must have a negative slope c. could have either a positive or negative slope d. must have a positive y intercept e. none of the above answers is correct
c. could have either a positive or negative slope
in a regression analysis, the variable that is being predicted a. must have the same units as the variable doing the predicting b. is the independent variable c. is the dependent variable d. usually is denoted by x e. none of the above answers is correct
c. is the dependent variable
larger values of r^2 imply that the observations are more closely grouped about the a. average value of the independent variables b. average value of the dependent variable c. least squares line d. origin e. none of the above answers is correct
c. least squares line
a procedure used for finding the equation of a straight line which provides the best approximation for the relationship between the independent & dependent variables is the a. correlation analysis b. mean squares method c. least squares method d. most squares method e. none of the above answers is correct
c. least squares method
a multiple regression model has a. only one independent variable b. more than one dependent variable c. more than one independent variable d. at least 2 dependent variables
c. more than one independent variable
Regression analysis is a statistical procedure for developing a mathematical equation that describes how a. one independent & one or more dependent variables are related b. several independent & several dependent variables are related c. one dependent & one or more independent variables are related d. none of the above answers is correct
c. one dependent & one or more independent variables are related
if the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is a. 0.80% b. 80% c. 0.64% d. 64% e. none of the above answers is correct
d. 64%
if the coefficient of correlation is a negative value, then the coefficient of determination a. must also be negative b. must be zero c. can be either negative or positive d. must be positive e. none of the above answers is correct
d. must be positive
if there is a very strong correlation between two variables, then the coefficient of correlation must be a. much larger than 1, if the correlation is positive b. much smaller than 1, if the correlation is negative c. both a & b are correct d. none of the above answers is correct
d. none of the above answers is correct
in multiple regression analysis, a. there can be any number of dependent variables but only one independent variable b. there must be only one independent variable c. the coefficient of determination must be larger than 1 d. there can be several independent variables, but only one dependent variable e. none of the above answers is correct
d. there can be several independent variables, but only one dependent variable
if the coefficient of determination is 0.81, the coefficient of correlation a. is .6561 b. must be 0.9 c. must be positive d. must be negative e. none of the above answers is correct
e. none of the above answers is correct
in a simple regression analysis (where Y is a dependent & X an independent variable), if the Y intercept is positive, then a. there is a positive correlation between X & Y b. there is a negative correlation between X & Y c. if X is increased, Y must also increase d. if Y is increased, X must also increase e. none of the above answers is correct
e. none of the above answers is correct