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Author Question: Civil engineers often use the straight-line equation, E(y) = 0 + 1x, to model the relationship ... (Read 117 times)

jc611

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on: Jan 16, 2020
Civil engineers often use the straight-line equation, E(y) = β0 + β1x, to model the relationship between the mean shear strength E(y) of masonry joints and precompression stress, x. To test this theory, a series of stress tests were performed on solid bricks arranged in triplets and joined with mortar. The precompression stress was varied for each triplet and the ultimate shear load just before failure (called the shear strength) was recorded. The stress results for n = 7 triplet tests is shown in the accompanying table followed by a SAS printout of the regression analysis.


Analysis of Variance
                      Sum of Mean
Source DF Squares Square F Value Prob > F

Model 1 2.39555 2.39555 47.732 0.0010
Error 5 0.25094 0.05019
C Total 6 2.64649

Root MSE 0.22403 R-square 0.9052
Dep Mean 2.32857 Adj R-sq 0.8862
C.V. 9.62073

Parameter Estimates

Parameter Standard      T for HO:
Variable DF Estimate Error Parameter=0 Prob > |T|

INTERCEP 1 1.191930 0.18503093 6.442 0.0013
X 1 0.987157 0.14288331 6.909 0.0010

Give a practical interpretation of R2, the coefficient of determination for the least squares model. Express R2 to the nearest whole percent.
◦ About 91% of the total variation in the sample of y-values can be explained by (or attributed to) the linear relationship between shear strength and precompression stress.
◦ In repeated sampling, approximately 91% of all similarly constructed regression lines will accurately predict shear strength.
◦ We expect about 91% of the observed shear strength values to lie on the least squares line.
◦ We expect to predict the shear strength of a triplet test to within about .91 ton of its true value.
Statistics: Informed Decisions Using Data ¦ Sullivan ¦ 5th Edition
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Marked as best answer by jc611 on Jan 16, 2020

Joy Chen

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Reply #1 on: Jan 16, 2020
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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jc611

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Reply 2 on: Jan 16, 2020
:D TYSM

hramirez205

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Reply 3 on: Yesterday
Wow, this really help

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