Correlation, Covariance, and Independence Quiz
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Questions and Answers

Which among the given options is the regression line of 𝑥 on 𝑦?

  • Both of the options
  • 𝑥 + 2𝑦 = 5 (correct)
  • Neither of the options
  • 2𝑥 + 3𝑦 = 8
  • What is the regression line of 𝑋 on 𝑌 given the data?

  • 𝑋 = 6.5 + 0.7𝑌
  • 𝑋 = 4.5 + 0.5𝑌 (correct)
  • 𝑋 = 3.5 + 0.4𝑌
  • 𝑋 = 5.5 + 0.6𝑌
  • What happens to the mean and median in a positively skewed distribution?

  • Mean > Median (correct)
  • Mean < Median
  • Mean = Median
  • None of the above
  • For the dataset: 35, 42, 50, 53, 61, 70, 85, what is the range?

    <p>55</p> Signup and view all the answers

    What is the mode of the dataset: 12, 15, 18, 18, 20, 22, 25, 30?

    <p>18</p> Signup and view all the answers

    In a dataset of 20 daily temperatures in Celsius, what would be the most appropriate measure of central tendency to use?

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

    For a dataset with a positively skewed distribution, how is the mean compared to the median?

    <p>Mean is greater than the median</p> Signup and view all the answers

    The coefficient of variation (CV) for Dataset A with a standard deviation of 8 and a mean of 40 is approximately:

    <p>10%</p> Signup and view all the answers

    What is the interquartile range (IQR) for the dataset: 35, 42, 50, 53, 61, 70, 85?

    <p>25</p> Signup and view all the answers

    Which of the following represents the regression line of 𝑥 on 𝑦?

    <p>3𝑥 - 2𝑦 = 5</p> Signup and view all the answers

    Given 𝜎𝑥 = 12, what can be inferred about the standard deviation 𝜎𝑦 for 𝑌?

    <p>𝜎𝑦 &lt; 𝜎𝑥</p> Signup and view all the answers

    What is the standard deviation 𝜎𝑦 for 𝑌, given 𝜎𝑥 = 12?

    <p>14</p> Signup and view all the answers

    In a positively skewed distribution, how is the mean compared to the median?

    <p>Mean is greater than median</p> Signup and view all the answers

    What is the coefficient of variation (CV) for Dataset A with a standard deviation of 8 and a mean of 40?

    <p>20%</p> Signup and view all the answers

    For a dataset with a positively skewed distribution, what happens to the range?

    <p>Range increases</p> Signup and view all the answers

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