Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Please solve parts c and d correctly! Please write step by step and be easy to read for a good review! Highlight answers too! The

Please solve parts c and d correctly! Please write step by step and be easy to read for a good review! Highlight answers too!

image text in transcribed
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/ft ). 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 1.29 1.32 1.05 1.05 1.16 1.06 1.82 Temp. 183 183 183 183 183 184 184 185 Ratio 1.49 1.62 1.57 2.03 2.11 0.86 1.39 0.96 Temp 185 185 185 187 187 188 189 191 Ratio 1.83 2.04 2.64 1.45 2.44 3.02 1.93 3.02 LA USE SALT (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) y = -15.8909 + 0.0962x (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 185. (Round your answer to four decimal places.) 1.9061 (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, 0.96) (185, 1.83) (185, 2.04) (185, 2.64) Why do they not all have the same sign? 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 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. 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. 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.)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Measure Theory And Integration

Authors: M M Rao, MM Rao

2nd Edition

1351991485, 9781351991483

More Books

Students also viewed these Mathematics questions

Question

1. To understand how to set goals in a communication process

Answered: 1 week ago