6 Questions
In linear regression, which of the following is the correct formula for the coefficient of determination ($R^2$)?
$R^2 = 1 - \frac{SS_{res}}{SS_{tot}}$
When conducting hypothesis testing, the p-value is:
The probability of observing a test statistic as extreme as, or more extreme than, the one actually observed, assuming that the null hypothesis is true
In probability theory, the complement rule states that:
The probability of the complement of an event is equal to 1 minus the probability of the event
In exploratory data analysis, which statistical measure is used to describe the dispersion of a dataset?
Variance
When collecting data for a study, what type of sampling method involves dividing the population into non-overlapping subgroups and then taking a simple random sample from each subgroup?
Stratified sampling
In probability theory, if two events are independent, what is the probability of both events A and B occurring?
$P(A) imes P(B)$
Test your knowledge of exploratory data analysis, data collection, probability, random variables, sampling distribution, confidence interval, hypothesis testing, and linear regression in R coding. This quiz covers essential concepts and techniques for analyzing and interpreting data, making it suitable for individuals seeking to strengthen their skills in data analysis and statistics using R.
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