- a multiple regression model has more than one independent variable
- a procedure used for finding the equation of a straight line which provides the best approximation for the relationship between the independent and dependent variables is the least squares method
- any predictions based on this picture would have no error
- Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals -0.30: the slope (b1) is negative
- Correlation analysis is used to determine the strength of the relationship between the dependent and the independent variables
- correlation measures the degress of association between two variables true
- 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 1
- If all the points of a scatter diagram lie on the line of regression, the value of the standard error of the estimate is 0
- if computed, the sign of b in the equation would be negative (because declining slope)
- 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 64%
- If the coefficient of correlation is a negative value, then the coefficient of determination must be positive
- if the coefficient of determination is 0.81, the coefficient of correlation is -/+ .9 (none of the above answers)
- If the coefficient of determination is a positive value, then the regression equation could have either a positive or negative slope
- If the coefficient of determination is equal to 1, then the coefficient of correlation can be either -1 or +1
- if the coefficient of the correlation is a positive value, then the slope of regression line must also be positive
- if the coefiificent of determination is 0.9, the percentage of variation in the dependent variaible explained by the variation in the independent variable is 90%
- if the coeifficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the variation in the independent variable is 16%
- if the correlation coefficient (r) = 1.00, then there is no unexplained variation
- if there is a very strong correlation between two variables, then the coefficient of correlation must be either +/- 1
- if, as x increases, y is just as likely to decrease as increase, we say that there is _________ linear relationship between x and y no
- if, as x increases, y tends to decrease, we say there _________ linear relationship between x and y inverse
- if, as x increases, y tends to increase, we say there is _______ linear relationship between x and y direct
- if, in the population regression equations, beta is negative, we say that there is ___________ linear relationship between x and y inverse
- if, in the population regression equations, beta is positive, we say that there is ___________ linear relationship between x and y direct
- in a regression analysis, the quatitiy that gives the amount by which y changes for a unit change is called the slope of the regression line
- in a regression analysis, the variable that is being predicted is the dependent variable
- in a simple linear regression problem, r and b1 must have the same sign
- in a simple linear regression, the sign of the coefficient of correlation is always the same sign of the slope
- in a simple linear regression, when the coefficient of correlation between two variables is zero, the regression line goes through the origin false
- in multiple regression analysis, there can be several independent variable, but only one dependent variable
- in multiple regression anaylsis, the independent variables are sometimes referred to as explanatory variables
- in performing the regression analysis involving two quantitative variables, we are assuming the variation around the line of regression is the same for each x value
- in regression analysis, the independent variable is used to predict the dependent variable
- in regression analysis, the response variable is the dependent variable
- in regression analysis, the variable that is being predicted is the dependent variable
- in regression and correlation analysis, the entitiy on which sets of measurements are taken is called the unit of association
- in simple linear regression, when the coefficient of correlation between the two variables is zero, the regression line is horizontal
- in the equation Y^ = a + bx, a is the y-intercept of the regression line
- in the equation Y^ = a + bx, b is the slope of the regression line
- in the regression and correlation analysis, the measure whose value are restricted to the range 0 to 1, inclusive, is the coefficient of determination
- in the regression and correlation analysis, the meausre who value are restricted to the range -1 to +1, inclusive, is the correlation coefficient
- in this particular problem, the researcher is trying to predict quantity demanded based on price
- Larger values of r2 imply that the observations are more closely grouped about the least squares line
- r^2 is the coefficient of determination
- regression analysis is used for the purpose of prediction true
- Testing for the existence of correlation is equivalent to testing for the existence of the slope (b1)
- the closer the standard error of the estimate is to zero, the better the model fits then observed data true
- the coefficient of correlation is the square root of the coefficient of determination
- the coefficient of correlation is the square root of the coefficient of determination
- the coefficient of determination (r^2) tell us the proportion of total variation that is explained
- the difference between the total variation and the unexplained variation is equal to the explained variation
- the equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model
- the graph of the observations obtained as part of a regression or correlation analysis is called a scatter diagram
- the graph of x, y pairs represented by dots is called a scatter diagram
- the independent variables in regression analysis are sometimes referred to as predictor variables
- the interpretation of the standard error of the estimate is analogous to that of the standard deviation
- the method used to arrive at the best-fitting straight line in regression analysis is referred to as the least squares method
- the principle of least squares states that the sum of the squared deviations between the actual y values and the values predicted by the regression line is a minimum
- the quantity E(yi – y bar)^2 is called the total sum of squares
- the quantity E(yi – y hat)^2 is called the unexplained sum of squares
- the range of the coefficient of determination is -1 to +1 false, it’s 0 to 1
- the relationship among several variables may be described geometrically by some a regression surface
- the slope (b1) represents the change in y per unit change in x
- the slope of the line regression represented the unit change in x per unit change in y FALSE
- the standard deviation of the observed y values around the average y is called the standard error of estimate false
- the standard error of estimate, if computed, would be 0
- the standard error of the estimate is a measure of the variation around the regression line
- the strength of the linear relationship between two variables may be measured by the coefficient of correlation
- the value of r is always positive false, can be -/+
- the value of r^2 for a particular situation is .49. What is the coefficient of correlation in this situation? cannot be determined because we should know if it’s – or +
- the variable about which the invesitgator wishes to make predictions or estimation is called the dependent variable
- the variable that can be manipulated by the investigator is called the independent variable
- the variable used to predict another variable is called the independent variable
- the width of the confidence interval estimate for the predicted value of y is dependent on standard error of the estimate, value of x for which the prediction is being made, and sample size (all of the above)
- the y-intercept (bo) represents the predicted value of y when x = 0
- the y-intercept (bo) represents the predicted value of y when x = 0 true
- when r = -1, it indicates a perfect relationship between x and y true
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