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 0.78 1.33 1.44 1.11 0.97 0.98 1.10 1.76 Temp. 181 181 181 181 181 182 182 183 Ratio 1.47 1.58 1.69 2.23 2.25 0.86 1.51 1.00 Temp. 183 183 183 185 185 186 187 189 Ratio 1.71 1.96 2.58 1.57 2.60 3.02 1.79 3.06 (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, 1.00) (183, 1.71) (183, 1.96) (183, 2.58)
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 0.78 1.33 1.44 1.11 0.97 0.98 1.10 1.76 Temp. 181 181 181 181 181 182 182 183 Ratio 1.47 1.58 1.69 2.23 2.25 0.86 1.51 1.00 Temp. 183 183 183 185 185 186 187 189 Ratio 1.71 1.96 2.58 1.57 2.60 3.02 1.79 3.06 (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, 1.00) (183, 1.71) (183, 1.96) (183, 2.58)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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