What is multiple regression?
What is the general formula of a multiple regression line?
What indicates the unique effect of an independent variable, above and beyond the effect of other independent variables in the analysis?
A schematic diagram in which the variance of a variable is represented by the area of a circle, and the relationships among variables are represented by areas of overlap among circles.
In multiple regression, what needs to be done to calculate the slope of X1?
What 2 equations are adjusted in multiple regression?
As the relationship between Xs increases, does the standard error increase, stay the same, or decrease?
In multiple regression, what is the goodness of fit ratio called?
True/False: In general, the squared multiple correlation is equal to the sum of the two squared simple correlations.
(R^2 = rY1^2 + rY2^2).
Which should be a larger value: squared multiple correlation (R^2) or adjusted squared multiple correlation (Radj^2)?
How would you obtain a value of R^2 closer to the average R^2?
Which provides a more realistic estimate of the goodness of fit: Squared multiple correlation or Adjusted squared multiple correlation?
Why is an Adjusted squared multiple correlation sometimes called a shrunken R^2?
What is the degrees of freedom of standard error equal to?
What is the situation called when the squared simple correlation is equal to 1.0?
What cannot be calculated if the squared simple correlation is equal to 1.0?
What is the situation called when the simple squared correlation is near 1.0?
As the squared correlation between the independent variables increases, does the standard error of the slope increase, stay the same, or decrease?
As the standard error increases, does the confidence interval increase, stay the same, or decrease?
What condition makes it difficult to separate the effects of individual independent variables?
True/False: There is always some uncertainty about the true slope of each independent variable.
What are the 2 ways to address the uncertainty around the slope?
What is the way to address the uncertainty of the squared multiple correlation (R^2)?
What represents the overall effect of the independent variables?
If SE1 has a SS1 4x greater than SS2, what is the value of SE2 relative to SE1?
If you have a 90% confidence interval, what is the percentage for alpha?
As the value of Fcalc decreases, does the value of tcalc increase, stay the same, or decrease?
When do you use the adjusted squared multiple correlation (Radj^2) instead of the squared multiple correlation (R^2)?
What is df1 and df2 for Fcalc?
Which do you use if there is no clear evidence of a variable's effect: Simple regression line or Multiple regression line?
What does a curvilinear regression line allow the goodness of fit to do?
What is the equation for a curvilinear regression line?
Y' = a + b1X + b2X^2
Which term in this equation allows the curved line of best fit?
How many independent variables are in the curvilinear regression line?
As SP12 and r12 increase, does tcalc increase, stay the same, or decrease?
The likelihood of a correct positive.
True/False: Standardization of slope gives a mean of 0 and a standard deviation of 1.
A standardized slope expresses the effect of an independent variable in terms of what?
Why is the constant omitted from the equation for the standardized regression line?
What is the value for standardized sums of squares?
What are the values of the means for each of the variables for a standardized regression line?
How do you standardize the slope?
True/False: The equations for a non-standardized regression line can be used with the standardized SS and SP.
True/False: The standardized tcalc is equal to the non-standardized tcalc.
True/False: The issue of statistical significance depends on the units.
How do you find the constant in multiple regression with categorical variables?
How do you find the slope of X2 in multiple regression with categorical variables?
How many columns of dummy coding do you need for 4 categorical variables?