A well-educated lumberjack decides to use linear regression to predict the demand for firewood based on the ambient temperature. He has collected data on firewood sales and temperature for the last several days and has performed some preliminary calculations as shown in the table.

-Determine the regression equation based on the data. What is the sample coefficient of determination (R-square) for the regression equation?
A)0.976
B)0.952
C)0.946
D)-0.976
E)-0.952

Question

A well-educated lumberjack decides to use linear regression to predict the demand for firewood based on the ambient temperature. He has collected data on firewood sales and temperature for the last several days and has performed some preliminary calculations as shown in the table.
 
-Determine the regression equation based on the data. What is the sample coefficient of determination (R-square) for the regression equation?
A)0.976 
B)0.952 
C)0.946 
D)-0.976 
E)-0.952

Quizplus · Accepted Answer

The sample coefficient of determination (R-square) is a measure of how well the regression equation fits the data. An R-square of 0.952 indicates that 95.2% of the variability in the dependent variable is explained by the regression model.

A Well-Educated Lumberjack Decides to Use Linear Regression to Predict