As the carbon content in steel increases, its ductility tends to decrease.A researcher at a steel company measures carbon content and ductility for a sample of 15 types of steel.Based on these data he obtained the following regression results, which of the following statements is NOT true?

A)The association between carbon content and ductility of steel is statistically significant at α = 0.05.
B)The slope is significantly different from zero at α = 0.05.
C)The relationship between carbon content and ductility of steel is positive at α = 0.05.
D)There is 59% of the variance in ductility that is not explained by this model.
E)For one unit increase in carbon content, one can expect a 3.30 unit decrease in ductility.

Question

As the carbon content in steel increases, its ductility tends to decrease.A researcher at a steel company measures carbon content and ductility for a sample of 15 types of steel.Based on these data he obtained the following regression results, which of the following statements is NOT true?

A)The association between carbon content and ductility of steel is statistically significant at α = 0.05. 
B)The slope is significantly different from zero at α = 0.05. 
C)The relationship between carbon content and ductility of steel is positive at α = 0.05. 
D)There is 59% of the variance in ductility that is not explained by this model. 
E)For one unit increase in carbon content, one can expect a 3.30 unit decrease in ductility.

Quizplus · Accepted Answer

The Answer of As the carbon content in steel increases, its ductility tends to decrease.A researcher at a steel company measures carbon content and ductility for a sample of 15 types of steel.Based on these data he obtained the following regression results, which of the following statements is NOT true?

A)The association between carbon content and ductility of steel is statistically significant at α = 0.05. 
B)The slope is significantly different from zero at α = 0.05. 
C)The relationship between carbon content and ductility of steel is positive at α = 0.05. 
D)There is 59% of the variance in ductility that is not explained by this model. 
E)For one unit increase in carbon content, one can expect a 3.30 unit decrease in ductility.

As the Carbon Content in Steel Increases, Its Ductility Tends