STATISTICS(UPVOTE WILL BE GIVEN. PLEASE ANSWER THE FOLLOWING PROBLEMS. FOLLW THE INSTRUCTION CAREFULLY NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWERS.) 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 theaccompanying data on tank temperature (x) and efficiency ratio (y).Temp. 171y =RatioRatio173 1740.86 1.25 1.46Temp. 181 181Temp. 183 183175 175USE SALT0.951.35 1.62 1.57 2.17181 181183 1851.17181176185177 1781.10 1.08 1.70182182 1832.17 0.78 1.45 1.00186 187 189Ratio 1.83 1.96 2.74 1.47 2.42 3.02 1.89 3.18(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 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, 1.83)(183, 1.96)(183, 2.74)Why do they not all have the same sign?O These residuals do not all have the same sign because in the cases of the first two pairs of observations, the observed efficiency ratios were larger than thepredicted value. In the cases of the last two pairs of observations, the observed efficiency ratios were smaller than the predicted value.These residuals do not all have the same sign because in the cases of the first two pairs of observations, the observed efficiency ratios were smaller than thepredicted value. In the cases of the last two pairs of observations, the observed efficiency ratios were larger than the predicted value.O These residuals do not all have the same sign because in the case of the third pair of observations, the observed efficiency ratio was equal to the predictedvalue. In the cases of the other pairs of observations, the observed efficiency ratios were smaller than the predicted value.O These residuals do not all have the same sign because in the case of the second pair of observations, the observed efficiency ratio was equal to the predictedvalue. In the cases of the other pairs of observations, the observed efficiency ratios were larger than the predicted value.(d) What proportion of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables? (Round youranswer to three decimal places.)

Note: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Answered: p. D p. 171 173 174 0.86 1.25 1.46 181…

Math

Statistics

p. D p. 171 173 174 0.86 1.25 1.46 181 181 181 175 0.95 181

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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STATISTICS(UPVOTE WILL BE GIVEN. PLEASE ANSWER THE FOLLOWING PROBLEMS. FOLLW THE INSTRUCTION CAREFULLY NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWERS.)

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
y =
Ratio
Ratio
173 174
0.86 1.25 1.46
Temp. 181 181
Temp. 183 183
175 175
USE SALT
0.95
1.35 1.62 1.57 2.17
181 181
183 185
1.17
181
176
185
177 178
1.10 1.08 1.70
182
182 183
2.17 0.78 1.45 1.00
186 187 189
Ratio 1.83 1.96 2.74 1.47 2.42 3.02 1.89 3.18
(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 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, 1.83)
(183, 1.96)
(183, 2.74)
Why do they not all have the same sign?
O These residuals do not all have the same sign because in the cases of the first two pairs of observations, the observed efficiency ratios were larger than the
predicted value. In the cases of the last two pairs of observations, the observed efficiency ratios were smaller than the predicted value.
These residuals do not all have the same sign because in the cases of the first two pairs of observations, the observed efficiency ratios were smaller than the
predicted value. In the cases of the last two pairs of observations, the observed efficiency ratios were larger than the predicted value.
O These residuals do not all have the same sign because in the case of the third pair of observations, the observed efficiency ratio was equal to the predicted
value. In the cases of the other pairs of observations, the observed efficiency ratios were smaller than the predicted value.
O These residuals do not all have the same sign because in the case of the second pair of observations, the observed efficiency ratio was equal to the predicted
value. In the cases of the other pairs of observations, the observed efficiency ratios were larger than the predicted value.
(d) What proportion of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables? (Round your
answer to three decimal places.)

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