Gr12 Mathematics: Ch 8 Sum Statistics
42 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the value of r if there is no correlation between x and y?

  • 1
  • -1
  • 0.5
  • 0 (correct)

    • What is the formula used to calculate the linear correlation coefficient r?

  • r = b * σx * σy
  • r = σx / σy
  • r = b(σx / σy) (correct)
  • r = σy / σx

    • What does a positive value of r indicate?

  • As x increases, y decreases.
  • As x increases, y increases. (correct)
  • The correlation is perfect.
  • There is no correlation between x and y.

    • What is the range of values for r that indicates a very weak correlation?

    <p>0 &lt; r &lt; 0.25</p> Signup and view all the answers

    What is the value of r if there is a perfect negative correlation between x and y?

    <p>-1</p> Signup and view all the answers

    What is the term used to describe the correlation coefficient r?

    <p>Pearson's product moment correlation coefficient</p> Signup and view all the answers

    What is the equation of the linear regression line?

    <p>y = A + Bx</p> Signup and view all the answers

    What does a correlation coefficient of -0.6 indicate?

    <p>A medium negative correlation</p> Signup and view all the answers

    What is the purpose of the regression coefficient?

    <p>To measure the strength of correlation between two sets of data</p> Signup and view all the answers

    What is the range of values for the correlation coefficient?

    <p>-1 to 1</p> Signup and view all the answers

    What does a correlation coefficient of 0.2 indicate?

    <p>A weak positive correlation</p> Signup and view all the answers

    What is the first step in using a calculator for linear regression?

    <p>Switch to STAT mode</p> Signup and view all the answers

    What does a correlation coefficient of -1 indicate?

    <p>A strong negative correlation</p> Signup and view all the answers

    What is the interpretation of a negative correlation?

    <p>As x increases, y decreases</p> Signup and view all the answers

    What does a correlation coefficient of 0.8 indicate?

    <p>A strong positive correlation</p> Signup and view all the answers

    If the correlation coefficient r is -0.4, what can be said about the relationship between x and y?

    <p>As x increases, y decreases</p> Signup and view all the answers

    What is the name of the correlation coefficient that is calculated using the formula r = b(σ_x / σ_y)?

    <p>Pearson's product moment correlation coefficient</p> Signup and view all the answers

    If the correlation coefficient r is -0.95, what can be said about the relationship between x and y?

    <p>There is a very strong negative correlation</p> Signup and view all the answers

    What is the reason why it is often easier to calculate the correlation coefficient r using a calculator?

    <p>Because the calculator can handle large datasets</p> Signup and view all the answers

    If the correlation coefficient r is 0.1, what can be said about the relationship between x and y?

    <p>There is a very weak positive correlation</p> Signup and view all the answers

    What does a correlation coefficient of 0.95 indicate?

    <p>A strong positive correlation between the variables.</p> Signup and view all the answers

    Which of the following is true about the linear regression line?

    <p>It is the line of best fit for a set of bivariate numerical data.</p> Signup and view all the answers

    What is the purpose of calculating the gradient (B) in linear regression?

    <p>To determine the slope of the regression line.</p> Signup and view all the answers

    What does a correlation coefficient of -0.85 indicate?

    <p>A strong negative correlation between the variables.</p> Signup and view all the answers

    What is the first step in using a calculator for linear regression analysis?

    <p>Switch to STAT mode.</p> Signup and view all the answers

    What can be concluded about the relationship between x and y if the correlation coefficient (r) is -0.4?

    <p>There is a weak negative correlation between x and y.</p> Signup and view all the answers

    What does the y-intercept (A) represent in the linear regression equation?

    <p>The point at which the regression line intersects the y-axis.</p> Signup and view all the answers

    What is the interpretation of a correlation coefficient of 0.7?

    <p>A medium positive correlation between the variables.</p> Signup and view all the answers

    What does a correlation coefficient of 0.6 indicate about the relationship between x and y?

    <p>A moderate correlation</p> Signup and view all the answers

    What is the purpose of calculating the correlation coefficient r?

    <p>To determine the strength and direction of the correlation</p> Signup and view all the answers

    What is the interpretation of a correlation coefficient of -0.8?

    <p>A strong negative correlation</p> Signup and view all the answers

    What happens to y when x increases and the correlation coefficient r is 0.4?

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

    What can be said about the relationship between x and y if the correlation coefficient r is 0.9?

    <p>There is a very strong positive correlation</p> Signup and view all the answers

    What does a correlation coefficient of 0 indicate about the relationship between x and y?

    <p>No correlation</p> Signup and view all the answers

    What is the primary purpose of the linear regression line?

    <p>To model the relationship between two variables</p> Signup and view all the answers

    What does a correlation coefficient of -0.7 indicate?

    <p>A medium negative correlation</p> Signup and view all the answers

    What is the value of the correlation coefficient if there is a perfect positive correlation?

    <p>1</p> Signup and view all the answers

    What does the gradient (B) represent in the linear regression equation?

    <p>The slope of the line</p> Signup and view all the answers

    What is the interpretation of a zero correlation coefficient?

    <p>No relationship between the variables</p> Signup and view all the answers

    What is the second step in using a calculator for linear regression?

    <p>Enter the data</p> Signup and view all the answers

    What does a correlation coefficient of 0.9 indicate?

    <p>A strong positive correlation</p> Signup and view all the answers

    What is the name of the line that best fits a set of bivariate numerical data?

    <p>Least squares regression line</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser