df MS F P-value cegression cesidual ptal 1 54.728 54.728 73.068 0.000 25 18.736 0.749 26 73.464 oefficients Сoeficients Standard Error t Stat P-value ntercept 3.2744 0.6007 5.451 0.000 lod Elasticity 0.10719 0.01254 8.548 0.000 ) Create a 99% two-sided confidence interval for the slope. (Round your answers to 3 decimal places, if needed.) ) Based on this two-sided confidence interval, is there a relationship between the two variables? O No, since the interval contains 0. O No, since the interval is completely above 0. O Yes, since the interval is completely above 0. O Yes, since the interval contains 0. ) Suppose it had previously been believed that when modulus of elasticity increased by 1 GPa, the associated true average ch e higher than 0.1 MPa. Does the sample data support this belief? Use a 99% one-sided confidence interval to determine the an ecimal places, if needed.) 1) Based on this one-sided confidence interval, does the sample data support this belief? O Yes, since the interval contains 0.1. O No, since the interval contains 0.1. O No, since the interval is completely above 0.1. O Yes since the interval is completely above 01

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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
df
S
MS
P-value
Regression
Residual
1
54.728
54.728
73.068
0.000
25
18.736
0.749
Total
26
73.464
Coefficients
Coefficients
Standard Error
t Stat
P-value
Intercept
Mod Elasticity
3.2744
0.6007
5.451
0.000
0.10719
0.01254
8.548
0.000
(a) Create a 99% 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 contains 0.
O No, since the interval is completely above 0.
O Yes, since the interval is completely above 0.
O 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 99% one-sided confidence interval to determine the answer. (Round your answers to 3
decimal places, if needed.)
(d) Based on this one-sided confidence interval, does the sample data support this belief?
O Yes, since the interval contains 0.1.
O No, since the interval contains 0.1.
O No, since the interval is completely above 0.1.
O Yes, since the interval is completely above 0.1.
Transcribed Image Text: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 df S MS P-value Regression Residual 1 54.728 54.728 73.068 0.000 25 18.736 0.749 Total 26 73.464 Coefficients Coefficients Standard Error t Stat P-value Intercept Mod Elasticity 3.2744 0.6007 5.451 0.000 0.10719 0.01254 8.548 0.000 (a) Create a 99% 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 contains 0. O No, since the interval is completely above 0. O Yes, since the interval is completely above 0. O 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 99% one-sided confidence interval to determine the answer. (Round your answers to 3 decimal places, if needed.) (d) Based on this one-sided confidence interval, does the sample data support this belief? O Yes, since the interval contains 0.1. O No, since the interval contains 0.1. O No, since the interval is completely above 0.1. O Yes, since the interval is completely above 0.1.
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