f Note: Data for this question page may be different from the previous question due to...

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f Note: Data for this question page may be different from the previous question due to random number generation. 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. 180 181 184 184 184 184 184 185 185 186 186 186 186 188 188 189 190 193 Ratio 0.96 1.70 1.37 1.58 1.56 2.15 2.17 0.80 1.35 0.86 1.73 1.92 2.55 1.55 2.42 2.92 1.91 3.08 Consider this simple linear regression model to answer the following questions. Ratio Bo+B1* Temperature + , where N(0, 0) (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.) slope: intercept: (b) Calculate the estimate of the model standard deviation (or standard deviation of the errors). (Round your answers to 4 decimal places, if needed.) (c) What percentage of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables? (Round your answers to 2 decimal places, if needed.) % (d) Calculate the correlation coefficient between the two variables. (Round your answers to 4 decimal places, if needed.) Interpret the correlation coefficient. The sign suggests a negative association while the magnitude suggests a strong relationship. Check strong moderate weak f Note: Data for this question page may be different from the previous question due to random number generation. 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. 180 181 184 184 184 184 184 185 185 186 186 186 186 188 188 189 190 193 Ratio 0.96 1.70 1.37 1.58 1.56 2.15 2.17 0.80 1.35 0.86 1.73 1.92 2.55 1.55 2.42 2.92 1.91 3.08 Consider this simple linear regression model to answer the following questions. Ratio Bo+B1* Temperature + , where N(0, 0) (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.) slope: intercept: (b) Calculate the estimate of the model standard deviation (or standard deviation of the errors). (Round your answers to 4 decimal places, if needed.) (c) What percentage of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables? (Round your answers to 2 decimal places, if needed.) % (d) Calculate the correlation coefficient between the two variables. (Round your answers to 4 decimal places, if needed.) Interpret the correlation coefficient. The sign suggests a negative association while the magnitude suggests a strong relationship. Check strong moderate weak