Civil engineers often use the straight-line equation, = + x, to model the relationship between the mean shear strength 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.
-Give a practical interpretation of the estimate of the slope of the least squares line.
A) For a triplet test with a precompression stress of 1 ton, we estimate the shear strength of the joint to be 0.987 ton.
B) For every 0.987 ton increase in precompression stress, we estimate the shear strength of the joint to increase by 1 ton.
C) For a triplet test with a precompression stress of 0 tons, we estimate the shear strength of the joint to be 1.19 tons.
D) For every 1 ton increase in precompression stress, we estimate the shear strength of the joint to increase by 0.987 ton.

Question

Civil engineers often use the straight-line equation,  =  +  x, to model the relationship between the mean shear strength 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.  
-Give a practical interpretation of the estimate of the slope of the least squares line.
A) For a triplet test with a precompression stress of 1 ton, we estimate the shear strength of the joint to be 0.987 ton. 
B) For every 0.987 ton increase in precompression stress, we estimate the shear strength of the joint to increase by 1 ton. 
C) For a triplet test with a precompression stress of 0 tons, we estimate the shear strength of the joint to be 1.19 tons. 
D) For every 1 ton increase in precompression stress, we estimate the shear strength of the joint to increase by 0.987 ton.

Quizplus · Accepted Answer

The slope of the least squares line represents the change in the dependent variable (shear strength) for a one-unit increase in the independent variable (precompression stress).

Civil Engineers Often Use the Straight-Line Equation, =