2446 Least Squares Regression

2 Questions | Total Attempts: 355

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2446 Least Squares Regression

Answers should be given to two decimal places unless otherwise specified. Equations include no spaces. Ie. Y=-120+1. 4x


Questions and Answers
  • 1. 
    For the following data set (8) :height is the x variableweight is the y variableWhich of the following statements are true?
    • A. 

      The direction is linear

    • B. 

      The Correlation Coefficient is 0.72

    • C. 

      The Coefficient of Determination is 52%

    • D. 

      The generic equation for the line is : y=-131+1.10x

    • E. 

      The value of b is : 1.10

    • F. 

      The specific equation for the line is height= -131+1.10 x weight

    • G. 

      Weight will increase by 1.10kg for every increase of 1cm in height

    • H. 

      When weight is zero, height will be 131cm

  • 2. 
    For the following data set (1) :The x variable is the number of weeks trainingThe y variable is the number of pushups completedSelect all the answers which are accurate :
    • A. 

      The form is positive

    • B. 

      The Correlation Coefficient is 0.996

    • C. 

      The Coefficient of Determination is 99.1%

    • D. 

      The generic equation for the line is : y=10.1+2.1x

    • E. 

      The residual plot shows the data is non linear

    • F. 

      The specific equation for the line is : number of weeks training =10.1+2.1 x number of pushups completed

    • G. 

      The y intercept indicates 10 pushups were completed before training commenced

    • H. 

      99% of the variation in pushups completed can be explained by the number of weeks spent training.

  • 3. 
    For the following data set (2) :The x variable is the result for Test AThe y variable is the result for Test B
    • A. 

      The strength is positive

    • B. 

      The Correlation Coefficient is 0.92

    • C. 

      The Coefficient of Determination is 86%

    • D. 

      The generic equation for the line is : y=20.63+0.62x

    • E. 

      The value of a is : 10.152

    • F. 

      The specific equation for the line is : Results for Test B =20.63+0.62 x Results for Test A

    • G. 

      The residual plot shows a pattern indicating the relationship is non linear

    • H. 

      86% of the variation in Test B results can be explained by the variation in Test A results

  • 4. 
    For the following data set (4) :The x variable is the result for Test AThe y variable is the result for Test B
    • A. 

      The form is positive

    • B. 

      The Correlation Coefficient is 0.248

    • C. 

      The Coefficient of Determination is 61.5%

    • D. 

      The generic equation for the line is : y=48.9+0.17x

    • E. 

      The value of a is : 48.90

    • F. 

      The residual for a score of 51 on test A is approximately 2.

    • G. 

      The residual plot is random showing the relationship is linear

    • H. 

      61.5% of the variation in Test B results can be explained by the variation in Test A results

  • 5.