of The following statistical software output is for a regression of flexural strength (measured in MPa)...

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of The following statistical software output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). ANOVA Regression Residual Total Coefficients Intercept Mod Elasticity df SS 1 54.422 25 18.736 MS 54.422 0.749 F P-value 72.659 0.000 26 73.158 Coefficients Standard Error t Stat P-value 3.2389 0.10723 0.6067 0.01258 5.339. 0.000 8.524 0.000 (a) Create a 90% two-sided confidence interval for the slope. (Round your answers to 3 decimal places, if needed.) (b) Based on this two-sided confidence interval, is there a relationship between the two variables? O No, since the interval is completely above 0. O Yes, since the interval is completely above 0. O No, since the interval contains 0. Yes, since the interval contains 0. (c) Suppose it had previously been believed that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be higher than 0.1 MPa. Does the sample data support this belief? Use a 90% one-sided confidence interval to determine the answer. (Round your answers to 3 decimal places, if needed.) 00) (d) Based on this one-sided confidence interval, does the sample data support this belief? O No, since the interval contains 0.1. O Yes, since the interval contains 0.1. O Yes, since the interval is completely above 0.1. O No, since the interval is completely above 0.1. of The following statistical software output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). ANOVA Regression Residual Total Coefficients Intercept Mod Elasticity df SS 1 54.422 25 18.736 MS 54.422 0.749 F P-value 72.659 0.000 26 73.158 Coefficients Standard Error t Stat P-value 3.2389 0.10723 0.6067 0.01258 5.339. 0.000 8.524 0.000 (a) Create a 90% two-sided confidence interval for the slope. (Round your answers to 3 decimal places, if needed.) (b) Based on this two-sided confidence interval, is there a relationship between the two variables? O No, since the interval is completely above 0. O Yes, since the interval is completely above 0. O No, since the interval contains 0. Yes, since the interval contains 0. (c) Suppose it had previously been believed that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be higher than 0.1 MPa. Does the sample data support this belief? Use a 90% one-sided confidence interval to determine the answer. (Round your answers to 3 decimal places, if needed.) 00) (d) Based on this one-sided confidence interval, does the sample data support this belief? O No, since the interval contains 0.1. O Yes, since the interval contains 0.1. O Yes, since the interval is completely above 0.1. O No, since the interval is completely above 0.1.