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. 173 175 176 177 0.92 1.25 1.44 Ratio y = Temp. 183 183 183 Ratio 1.37 1.62 1.59 USE SALT 1.05 185 177 178 2.17 0.97 1.14 183 183 Temp. 185 185 187 187 Ratio 1.85 2.00 2.58 1.39 2.42 2.13 184 179 180 1.06 1.74 184 185 0.86 1.53 0.88 188 189 2.94 1.83 191 3.14 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 185. (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 185. (Round your answers to two decimal places.) (185, 0.88) (185, 1.85) (185, 2.00) (185, 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. 173 175 176 177 0.92 1.25 1.44 Ratio y = Temp. 183 183 183 Ratio 1.37 1.62 1.59 USE SALT 1.05 185 177 178 2.17 0.97 1.14 183 183 Temp. 185 185 187 187 Ratio 1.85 2.00 2.58 1.39 2.42 2.13 184 179 180 1.06 1.74 184 185 0.86 1.53 0.88 188 189 2.94 1.83 191 3.14 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 185. (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 185. (Round your answers to two decimal places.) (185, 0.88) (185, 1.85) (185, 2.00) (185, 2.58)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text: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. 173
y =
Ratio
Ratio
175 176
0.92 1.25 1.44
Temp. 183 183
1.37 1.62
Temp. 185 185
Ratio
USE SALT
183
1.59
1.85 2.00 2.58
177
1.05 0.97
177
183 183
2.17
185 187
2.13
187
178
1.14
184
0.86
188
179
1.06
180
184 185
189
1.74
1.53 0.88
1.39 2.42 2.94 1.83
191
3.14
(a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.)
(b) Calculate a point estimate for true average efficiency ratio when tank temperature is 185. (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 185. (Round your answers to two decimal places.)
(185, 0.88)
(185, 1.85)
(185, 2.00)
(185, 2.58)
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