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Chapter 16, Problem 16.36P
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To Compute: SX and SY

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The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft²). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y). Temp. 171 173 174 175 175 176 177 178 Ratio 0.82 1.39 1.48 0.95 1.15 1.06 1.00 1.82 Temp. 181 181 181 181 181 182 182 183 Ratio 1.35 1.52 1.55 2.19 2.17 0.92 1.45 0.82 Temp. 183 183 183 185 185 186 187 189 Ratio 1.85 2.04 2.70 1.59 2.54 3.04 1.89 3.12 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) y = (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 183. (Round your answer to four decimal places.) (c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 183. (Round your answers to two decimal places.) (183, 0.82) (183, 1.85) (183, 2.04) (183, 2.70) Why do they not all have the same…
Problem: In designing an asphalt concrete mixture for highway pavement, data in the table below showing the aggregate characteristics were used. Percent by weight of Effective specific Aggregate type Bulk specific gravities total paving mixture gravity Coarse aggregates 42 Fine aggregates 51 Mineral fillers 7 2.60 2.71 2.82 2.69 Determine the optimum asphalt content as a percentage of the total mix if results obtained using the Marshall method are shown in the following table. The specific gravity of the asphalt is 1.02. (Use Table 8 for required specifications.) Weight of Specimen (g) Percent Asphalt in Air in Water Stability (lb) Flow (0.01 in.) 5.5 1325.3 785.6 1796 13 6.0 1330.1 793.3 1836 14 6.5 1336.2 800.8 1861 16 7.0 1342.0 804.5 1818 20 7.5 1347.5 805.1 1701 25
12.36 Figure P12.36 shows a 3 × 5 pile group consisting of 15 concrete piles of 400 mm diameter and 12 m in length. What would be the maximum load that can be allowed on the mat with a factor of safety of 3? The piles have a center- to-center spacing of 1200 mm. Qall = ? Clay Cu= 60 kN/m² Clay Cu= 90 kN/m² 5 m 7 m
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