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.173175176177177178179180Ratio0.741.411.521.051.091.180.981.82Temp.183183183183183184184185Ratio1.371.681.632.072.070.781.390.84Temp.185185185187187188189191Ratio1.831.982.741.432.562.901.773.10 (a)Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.)y = 0.0890−14.7594x (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, 0.84)(185, 1.83)(185, 1.98)(185, 2.74)

The question is about regressionGiven :To find :a ) Eq. of estimated reg. equationb ) pt. estimate…

Answered: The efficiency for a steel specimen…

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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Question

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	177	178	179	180
Ratio	0.74	1.41	1.52	1.05	1.09	1.18	0.98	1.82

Temp.	183	183	183	183	183	184	184	185
Ratio	1.37	1.68	1.63	2.07	2.07	0.78	1.39	0.84

Temp.	185	185	185	187	187	188	189	191
Ratio	1.83	1.98	2.74	1.43	2.56	2.90	1.77	3.10

(a)

Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.)

y =

0.0890−14.7594x

(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, 0.84)(185, 1.83)(185, 1.98)(185, 2.74)

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