QUESTION 7 (14 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 temperature (C) and the efficiency ratio is observed in the following table: Temperature Ratio i. Find the estimated linear regression line relating the efficiency ratio to tempera- ture. 170 172 173 174 177 175 180 175 182 0.84 1.31 1.80 1.07 1.61 1.07 0.90 1.42 1.03 ii. Estimate the efficiency ratio if the temperature is 184 °C. iii. Do the data support the existence of linear relationship between tank temperature and efficiency ratio? Test using method of least squares at a = 0.01. iv. Find the Pearson product moment correlation coefficient. What can you infer from the value?

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QUESTION 7 (1
of the phosphate coating divided by the metal loss (both in mg/ft2). The temperature
The efficiency ratio for a steel specimen immersed in a phosphating tank is the weight
(C) and the efficiency ratio is observed in the following table:
Temperature 170 172 177 175
Ratio
i. Find the estimated linear regression line relating the efficiency ratio to tempera-
ture.
180 175 182
173
174
0.84 1.31 1.80 1.07 1.61 1.07 0.90 1.42 1.03
184
ii. Estimate the efficiency ratio if the temperature is °C.
iii. Do the data support the existence of linear relationship between tank temperature
= 0.01.
and efficiency ratio? Test using method of least squares at a =
iv. Find the Pearson product moment correlation coefficient. What can you infer
from the value?
Transcribed Image Text:QUESTION 7 (1 of the phosphate coating divided by the metal loss (both in mg/ft2). The temperature The efficiency ratio for a steel specimen immersed in a phosphating tank is the weight (C) and the efficiency ratio is observed in the following table: Temperature 170 172 177 175 Ratio i. Find the estimated linear regression line relating the efficiency ratio to tempera- ture. 180 175 182 173 174 0.84 1.31 1.80 1.07 1.61 1.07 0.90 1.42 1.03 184 ii. Estimate the efficiency ratio if the temperature is °C. iii. Do the data support the existence of linear relationship between tank temperature = 0.01. and efficiency ratio? Test using method of least squares at a = iv. Find the Pearson product moment correlation coefficient. What can you infer from the value?
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