CBE CBE Business Statistics and Data Analysis

Question 1

In regression analysis, the R-squared (R²) statistic measures:

Accepted Answer

The proportion of variance in the dependent variable explained by the independent variable(s)

Answer

The slope of the regression line

Answer

The statistical significance of individual coefficients

Answer

The correlation between two independent variables

Question 2

A Type I error in hypothesis testing occurs when:

Accepted Answer

A true null hypothesis is incorrectly rejected

Answer

A false null hypothesis is not rejected

Answer

The sample size is too small to detect an effect

Answer

The test statistic exceeds the critical value

Question 3

Which measure of central tendency is most affected by extreme outliers in a dataset?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Answer

Interquartile range

Question 4

In time series analysis, autocorrelation refers to:

Accepted Answer

The correlation of a variable with its own past values

Answer

The correlation between two different economic variables

Answer

The relationship between sample size and variance

Answer

The degree to which a variable follows a normal distribution

Question 5

The standard error of the mean (SEM) decreases as:

Accepted Answer

Sample size increases

Answer

Population variance increases

Answer

Confidence level increases

Answer

The number of variables in the model increases

Question 6

A 95% confidence interval for a population parameter means:

Accepted Answer

If repeated samples were taken, 95% of such intervals would contain the true parameter

Answer

There is a 95% probability the parameter falls in this interval

Answer

The sample statistic is within 5% of the true value

Answer

The data has a 5% measurement error rate