Circumference and Age Narrative
Evidence supports using a simple linear regression model to estimate the circumference of a pine tree based on its age. Let x be the age of the pine tree (measured in years) and y be the circumference (measured in cm). A random sample of 11 mature pine trees was selected and the following data recorded: The following output was generated using statistical software: Regression Analysis
The regression equation is
y = -148 + 4.18x S = 4.025 R-Sq = 96.4% R-Sq(adj) = 96.0%
Analysis of Variance Table Unusual Observations R denotes an observation with a large standardized residual
-Refer to Circumference and Age Narrative. Based on the plots in the previous two questions, should you use the model in the computer printout to predict circumference? Justify your answer.

Question

Circumference and Age Narrative
Evidence supports using a simple linear regression model to estimate the circumference of a pine tree based on its age. Let x be the age of the pine tree (measured in years) and y be the circumference (measured in cm). A random sample of 11 mature pine trees was selected and the following data recorded:  The following output was generated using statistical software:  Regression Analysis
The regression equation is
y = -148 + 4.18x  S = 4.025 R-Sq = 96.4% R-Sq(adj) = 96.0%
Analysis of Variance Table  Unusual Observations  R denotes an observation with a large standardized residual
-Refer to Circumference and Age Narrative. Based on the plots in the previous two questions, should you use the model in the computer printout to predict circumference? Justify your answer.

Quizplus · Accepted Answer

The Answer of Circumference and Age Narrative
Evidence supports using a simple linear regression model to estimate the circumference of a pine tree based on its age. Let x be the age of the pine tree (measured in years) and y be the circumference (measured in cm). A random sample of 11 mature pine trees was selected and the following data recorded:  The following output was generated using statistical software:  Regression Analysis
The regression equation is
y = -148 + 4.18x  S = 4.025 R-Sq = 96.4% R-Sq(adj) = 96.0%
Analysis of Variance Table  Unusual Observations  R denotes an observation with a large standardized residual
-Refer to Circumference and Age Narrative. Based on the plots in the previous two questions, should you use the model in the computer printout to predict circumference? Justify your answer.