Assumptions of regression analysis


Complete the mcq:

1. Consider the following simple linear regression model: The response variable is:

• β0
• ε
• y
• x

2. Which of the following violates the assumptions of regression analysis?

• The error term has a zero mean.
• The error term has a constant variance.
• The error term is correlated with an explanatory variable.
• The error term is normally distributed.

3.For a given set of explanatory variables, in general:

• the width of a confidence interval is the same as the width of a prediction interval.
• a confidence interval is narrower than a prediction interval.
• a confidence interval is wider than a prediction interval.
• The width of a confidence interval cannot be determined.

4. Consider the following simple linear regression model: β0 and β1 are:

• the response variables.
• the explanatory variables.
• the unknown parameters.

• the random error terms.

5 .What is the name of the variable that's used to predict another variable?

• Standard Error of the Estimate
• Response
• Explanatory
• Coefficient of Determination
6.In a simple linear regression model, if the plots on a scatter diagram lie on a straight line, what is the standard error of the estimate?

• +1
• -1
• 0
• Infinity

7.The standard error of the estimate measures:

• the variability of the explanatory variables.
• the variability of the predicted y-values around the mean of the observed y-values.
• the variability of the observed y-values around the predicted y-values.
• the variability of the values of the sample regression coefficients.
8.Serial correlation is typically observed in:

• outliers.
• time series data.
• sparse data.
• cross-sectional data.
9.Which of the following variables is not qualitative?

• Student's status (freshman, sophomore, etc.)
• Religious affiliation
• Gender of a person
• Number of dependents claimed on a tax return

10.Another name for an explanatory variable is the ___.

• independent variable
• descriptive variable
• dependent variable
• inferred variable

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