Civil engineers often use the straight-line equation, y Bo +B1x, to model the re
ID: 3230374 • Letter: C
Question
Civil engineers often use the straight-line equation, y Bo +B1x, 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 printout of the regression analysis. Give a practical interpretation of the estimate of the slope of the least squares line. Round to three decimal places if needed. Ci Click the icon to view the table of results and the regression ana lysis O A. or every 1 ton increase in precompression stress, the shear strength of the joint is estimated to increase by 0.987 tons. O B. For a triplet test with a precompression stress of o tons, the shear strength of the joint is estimated to be 1.192 tons. O C. For a triplet test with a precompression stress of 1 ton, the shear strength of the joint is estimated to be 0.987 tons. O D. For every 0.987 ton increase in precompression stress, the shear strength of the joint is estimated to increase by 1 ton. Click to select your answer.Explanation / Answer
From the table provided , we can easily see that the regression equation is y=0.987x+1.1919
Thus for every 1 increase in x , y will increase by 0.987 times
Thus, option D is correct
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