2446 Least Squares Regression

2 Questions | Total Attempts: 355  Settings  Answers should be given to two decimal places unless otherwise specified. Equations include no spaces. Ie. Y=-120+1. 4x

• 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.