Linear Regression Model for Water Content in Bagasse Data
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Questions and Answers

What does the coefficient estimate for water content in the linear regression model represent?

  • The standard deviation
  • The error term
  • The slope of the line (correct)
  • The intercept of the line

    • What does a t value close to 0 indicate for the intercept in the linear regression model?

  • Error in the data
  • Inconsistent results
  • No impact on calorific value (correct)
  • Significant impact on calorific value

    • What does a high standard error for a coefficient in a linear regression model imply?

  • Measurement error in the data
  • No impact on the model
  • High reliability of the coefficient estimate
  • Low reliability of the coefficient estimate (correct)

    • If the residual for a data point is negative, what does it suggest about the actual calorific value compared to the predicted value?

    <p>Actual value is lower than predicted</p> Signup and view all the answers

    What does a 95% confidence interval for a coefficient in a linear regression model tell us?

    <p>The coefficient is significant</p> Signup and view all the answers

    What does a negative residual value for a data point in the linear regression model suggest?

    <p>The actual calorific value is lower than the predicted value.</p> Signup and view all the answers

    Interpreting the coefficient estimate for water content in the linear regression model, what would a negative value imply?

    <p>As water content increases, calorific value decreases.</p> Signup and view all the answers

    What is the implication of a very high t value for the intercept in the linear regression model?

    <p>The intercept is highly significant in predicting the calorific value.</p> Signup and view all the answers

    What does a low standard error for a coefficient in a linear regression model suggest?

    <p>The coefficient estimate is precise and reliable.</p> Signup and view all the answers

    In the context of linear regression, what does the 95% confidence interval for a coefficient provide information about?

    <p>The range within which the true population parameter is likely to lie.</p> Signup and view all the answers

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