Statistics Quarter 3 Module 2: Regression Analysis
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Questions and Answers

Which of the following represents the y-intercept in the regression line equation: Y = -1.058 + 0.523X?

  • Y
  • 0.523
  • X
  • -1.058 (correct)

    • If the temperature increases by 10 units, what is the expected change in the amount of dissolved substance according to the given regression equation?

  • The amount decreases by 5.23 units
  • The amount increases by 5.23 units (correct)
  • The amount increases by 10.58 units
  • The amount decreases by 10.58 units

    • What statistical technique is used to model the relationship between a dependent variable and one or more independent variables?

  • Correlation analysis
  • Regression analysis (correct)
  • Descriptive statistics
  • Hypothesis testing

    • In the given context, which variable represents the dependent variable?

    <p>Amount of dissolved substance (Y)</p> Signup and view all the answers

    What is the interpretation of the slope coefficient (0.523) in the given regression equation?

    <p>For every unit increase in temperature, the amount of dissolved substance increases by 0.523 units</p> Signup and view all the answers

    Which statistical concept is represented by the equation: Y = -1.058 + 0.523X?

    <p>Regression line</p> Signup and view all the answers

    What is the purpose of a regression line equation?

    <p>To predict the value of a dependent variable based on an independent variable</p> Signup and view all the answers

    How is the slope of a regression line interpreted in statistics?

    <p>It shows the rate of change in the dependent variable for a unit change in the independent variable</p> Signup and view all the answers

    What does skewness measure in a dataset?

    <p>The degree of asymmetry in the distribution</p> Signup and view all the answers

    Which statistical term is used to describe how peaked or flat a distribution is?

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

    In elementary statistics, what does a correlation coefficient measure?

    <p>The strength and direction of a linear relationship between two variables</p> Signup and view all the answers

    What is the primary application of linear regression in real-life scenarios?

    <p>Forecasting sales based on advertising spending and historical data</p> Signup and view all the answers

    What is the purpose of putting the calculator in STAT LINEAR MODE?

    <p>To find the y-intercept and slope of the regression line</p> Signup and view all the answers

    What does the slope of the regression line represent?

    <p>The average change in the y-variable for a one-unit change in the x-variable</p> Signup and view all the answers

    What is the equation of the regression line for the data provided in the second example?

    <p>y = 14.265 + 0.088x</p> Signup and view all the answers

    What is the estimated monthly savings when the Average Daily Expenses is Php 2500?

    <p>$500</p> Signup and view all the answers

    What is the purpose of finding the y-intercept of the regression line?

    <p>To predict the value of the y-variable when the x-variable is 0</p> Signup and view all the answers

    Which of the following is a characteristic of a good distractor in a multiple-choice question?

    <p>The distractor should be a common misconception or mistake that students might make</p> Signup and view all the answers

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