R Coding Data Analysis and Statistics Quiz
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Questions and Answers

In linear regression, which of the following is the correct formula for the coefficient of determination ($R^2$)?

  • $R^2 = \frac{SS_{reg}}{SS_{tot}}$
  • $R^2 = 1 - \frac{SS_{reg}}{SS_{tot}}$
  • $R^2 = 1 - \frac{SS_{reg}}{n-1}$
  • $R^2 = 1 - \frac{SS_{res}}{SS_{tot}}$ (correct)

    • When conducting hypothesis testing, the p-value is:

  • The probability of correctly accepting the null hypothesis
  • The probability of incorrectly rejecting the null hypothesis
  • The probability of observing a test statistic exactly at the one actually observed
  • 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 (correct)

    • In probability theory, the complement rule states that:

  • The probability of the intersection of two independent events is equal to the product of their individual probabilities
  • The probability of the complement of an event is equal to 1 minus the probability of the event (correct)
  • The probability of the intersection of two events is equal to the sum of their individual probabilities minus the probability of their union
  • The probability of the union of two events is equal to the sum of their individual probabilities

    • In exploratory data analysis, which statistical measure is used to describe the dispersion of a dataset?

    <p>Variance</p> Signup and view all the answers

    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?

    <p>Stratified sampling</p> Signup and view all the answers

    In probability theory, if two events are independent, what is the probability of both events A and B occurring?

    <p>$P(A) imes P(B)$</p> Signup and view all the answers

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