As the carbon content in steel increases, its ductility tends to decrease. A res

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 25 types of steel. Based on these data he obtained the following regression results, which of the following statements is not true? The regression equation is Ductility = 7.67-3.30 Carbon Content A. The slope is significantly different from zero at alpha 005. B. The relationship between carbon content and ductility of steel is positive at alpha = 0.05. C. For one unit increase in carbon content one can expect a 3.30 unit decrease in ductility D. There is 59% of the variance in ductility that is not explained by this model

Explanation / Answer

Option A, C and D are correct.

Option A is correct because p value of slope variable is less than 0.05.

Option C is correct because coefficient of slope variable is -3.30

Option D is correct because R^2 squared value is 41%. So, 100%-41% = 59% variation is not explained

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