Values of modulus of elasticity (MOE) and flexural strength were determined for
ID: 2907036 • Letter: V
Question
Values of modulus of elasticity (MOE) and flexural strength were determined for a sample of concrete beams. The data were analyzed using SLR in JMP. Use the output and the original data on the next page to answer parts A D. Is the value of strength completely and uniquely determined by the value of MOE? Explain. Obtain the equation of the least squares line for predicting strength from MOE, and then predict strength for a beam whose modulus of elasticity is 40. Would you feel comfortable using the least squares line to predict strength when MOE is 100? Explain. Conduct the hypothesis test of the overall model. Assume all assumptions are met. (State the hypotheses, test statistic, p-value, decision, and conclusion). 3. A. B. C. D.Explanation / Answer
Result:
A.)
R square value = 0.73834
73.834% of variance in strength is explained by MOE.
The strength is not completely determined by the values of MOE.
B).
The regression equation is
Strength = 3.2925001+0.1074821*MOE
When MOE =40, predicted strength = 3.2925001+0.1074821*40
=7.591784
C).
The value 100 is outside the range of MOE values. It is not appropriate to predict strength when MOE is 100.
D).
H0: The regression model is significant.
H1: The regression model is not significant.
Calculated F=70.547, P< 0.0001 which is significant at 0.05 level.
The null hypothesis is rejected.
The regression model is significant.
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