Answered: The efficiency ratio for a steel…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Question

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. Intl., May 1997: 78–81) gave the
accompanying data on tank temperature (x) and efficiency 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 3.00 1.87 3.08
a. Construct stem-and-leaf displays of both temperature and efficiency ratio, and comment on interesting
features.
b. Is the value of efficiency ratio completely and uniquely determined by tank temperature? Explain your
reasoning.
c. 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.