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The efficiency ratio 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). The article "Statistical Process Control of a Phosphate Coating Line" (Wire J. Int., May 1997: 78-81) gave the accompanying data on tank temperature (x) and effi- ciency ratio (y). Temp. 170 172 173 174 174 175 176 Ratio .84 1.31 1.42 1.03 1.07 1.08 1.04 Temp. 177 180 180 180 180 180 181 Ratio 1.80 1.45 1.60 1.61 2.13 2.15 .84

The efficiency ratio 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). The article "Statistical Process Control of a Phosphate Coating Line" (Wire J. Int., May 1997: 78-81) gave the accompanying data on tank temperature (x) and effi- ciency ratio (y). Temp. 170 172 173 174 174 175 176 Ratio .84 1.31 1.42 1.03 1.07 1.08 1.04 Temp. 177 180 180 180 180 180 181 Ratio 1.80 1.45 1.60 1.61 2.13 2.15 .84

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Using concept of regression, prove that the efficiency ratio could be predicted by tank temperature. Refer to the image below. Note:please show how to calculate manually without using excel. Thanks
1. The efficiency ratio for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft?). The article "Statistical Process Control of a Phosphate Coating Line" (Wire J. Intl., May 1997: 78-81) gave the accompanying data on tank temperature (x) and effi- ciency ratio (y). Temp. 170 172 173 174 174 175 176 Ratio 84 1.31 1.42 1.03 1.07 1.08 1.04 Temp. 177 180 180 180 180 180 181 Ratio 1.80 1.45 1.60 1.61 2.13 2.15 .84 Temp. 181 182 182 182 182 184 184 Ratio 1.43 90 1.81 1.94 2.68 1.49 2.52 Temp. 185 186 188 Ratio 13.00 1.87 3.08 a. Construct stem-and-leaf displays of both tempera- ture and efficiency ratio, and comment on interesting features. b. Is the value of efficiency ratio completely and unique- ly determined by tank temperature? Explain your reasoning. Construct a scatterplot of the data. Does it appear that efficiency ratio could be very well predicted by the value of temperature? Explain your reasoning. c.
Transcribed Image Text:1. The efficiency ratio for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft?). The article "Statistical Process Control of a Phosphate Coating Line" (Wire J. Intl., May 1997: 78-81) gave the accompanying data on tank temperature (x) and effi- ciency ratio (y). Temp. 170 172 173 174 174 175 176 Ratio 84 1.31 1.42 1.03 1.07 1.08 1.04 Temp. 177 180 180 180 180 180 181 Ratio 1.80 1.45 1.60 1.61 2.13 2.15 .84 Temp. 181 182 182 182 182 184 184 Ratio 1.43 90 1.81 1.94 2.68 1.49 2.52 Temp. 185 186 188 Ratio 13.00 1.87 3.08 a. Construct stem-and-leaf displays of both tempera- ture and efficiency ratio, and comment on interesting features. b. Is the value of efficiency ratio completely and unique- ly determined by tank temperature? Explain your reasoning. Construct a scatterplot of the data. Does it appear that efficiency ratio could be very well predicted by the value of temperature? Explain your reasoning. c.
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