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lease answer the wrong and letter D thank you!

lease answer the wrong and letter D thank you!

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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Please answer the wrong and letter D thank you!

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). 176 177 178 1.00 Temp. 173 174 175 175 171 Ratio 0.86 1.41 1.38 1.09 1.05 Temp. 181 181 181 181 181 Ratio 1.55 1.56 1.69 2.15 2.17 0.82 Temp. 183 183 183 185 185 Ratio 1.75 1.96 2.76 1.53 2.50 LUSE SALT 0.94 1.86 182 182 183 1.49 0.88 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) y = 15.2202 +0.0937x 0.04 0.84 186 187 189 2.94 1.91 3.06 (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 183. (Round your answer to four decimal places.) 21.9209 ✔ ✓ ✓ ✓ ✓ (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, 0.88) -1.04 (183, 1.75) -0.17 (183, 1.96) (183, 2.76) Why do they not all have the same sign? 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. 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 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. (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.) B
Transcribed Image Text: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). 176 177 178 1.00 Temp. 173 174 175 175 171 Ratio 0.86 1.41 1.38 1.09 1.05 Temp. 181 181 181 181 181 Ratio 1.55 1.56 1.69 2.15 2.17 0.82 Temp. 183 183 183 185 185 Ratio 1.75 1.96 2.76 1.53 2.50 LUSE SALT 0.94 1.86 182 182 183 1.49 0.88 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) y = 15.2202 +0.0937x 0.04 0.84 186 187 189 2.94 1.91 3.06 (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 183. (Round your answer to four decimal places.) 21.9209 ✔ ✓ ✓ ✓ ✓ (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, 0.88) -1.04 (183, 1.75) -0.17 (183, 1.96) (183, 2.76) Why do they not all have the same sign? 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. 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 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. (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.) B
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