ECN 221 Exam 3 Study Guide – Arizona State
University – Hypothesis Testing, ANOVA, and
Regression Analysis
regression analysis can be used to develop an equation showing how the variables are
related
dependent variable - variable being predicted
- denoted by y
simple linear regression involves one independent variable and one dependent variable
how is the relationship between two variables approximated? by a straight line
multiple regression regression analysis involving two or more independent variables
regression model the equation that describes how y is related to x and an error term
parameters of the model ß0 and ß1
r^2 - will be between 0 and 1; 1 indicates a perfect fit and all data points on the
regression line. 0 indicates no fit, there will be no apparent linear relationship
- only measures linear relationships. if the relationship is nonlinear the regression may have a
poor fit but large r^2
, which of the following does NOT need to be known in order to compute the p-value? the
level of significance
in the hypothesis testing procedure, alpha is_________ the level of signficance
the standard error of xbar1 - xbar2 is the ___________ standard deviation of the
sampling distribution of xbar1 - xbar2
If two independent large samples are taken from two populations, the sampling distribution of
the difference between the two sample means _______ can be approximated by a
normal distribution
the ANOVA procedure is a statistical approach for determining whether the means of
____________ two or more populations are equal
the required condition for using an ANOVA procedure on data from several populations is that
the ____________ sampled populations have equal variances
SSE can never be __________ larger than SST
in a simple regression analysis (where y is a dependent and x an independent variable), if the y-
intercept is positive, then it must be true that_____________
- if x is increased, y must also increase
- there is a negative correlation between x and y
- there is a positive correlation between x and y
- none of the answers is correct none of the answers is correct
University – Hypothesis Testing, ANOVA, and
Regression Analysis
regression analysis can be used to develop an equation showing how the variables are
related
dependent variable - variable being predicted
- denoted by y
simple linear regression involves one independent variable and one dependent variable
how is the relationship between two variables approximated? by a straight line
multiple regression regression analysis involving two or more independent variables
regression model the equation that describes how y is related to x and an error term
parameters of the model ß0 and ß1
r^2 - will be between 0 and 1; 1 indicates a perfect fit and all data points on the
regression line. 0 indicates no fit, there will be no apparent linear relationship
- only measures linear relationships. if the relationship is nonlinear the regression may have a
poor fit but large r^2
, which of the following does NOT need to be known in order to compute the p-value? the
level of significance
in the hypothesis testing procedure, alpha is_________ the level of signficance
the standard error of xbar1 - xbar2 is the ___________ standard deviation of the
sampling distribution of xbar1 - xbar2
If two independent large samples are taken from two populations, the sampling distribution of
the difference between the two sample means _______ can be approximated by a
normal distribution
the ANOVA procedure is a statistical approach for determining whether the means of
____________ two or more populations are equal
the required condition for using an ANOVA procedure on data from several populations is that
the ____________ sampled populations have equal variances
SSE can never be __________ larger than SST
in a simple regression analysis (where y is a dependent and x an independent variable), if the y-
intercept is positive, then it must be true that_____________
- if x is increased, y must also increase
- there is a negative correlation between x and y
- there is a positive correlation between x and y
- none of the answers is correct none of the answers is correct
