Question

A study was made on the amount of converted sugar in a certain process at various temperatures. The data were coded and recorded as follows: Ambient Temperature (degrees Centigrade) 21.0 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 21.9 22.0 Converted Sugar (mg/liter) 18.1 17.8 18.5 19.8 19.5 18.9 18.6 20.2 19.3 19.2 20.5 (a) Estimate the parameters of the linear regression line of converted sugar on temperature (b) Estimate the mean of converted sugar produced when the temperature is 21.75 C. (c) Estimate the conditional standard deviation of converted sugar on temperature. Assume that this conditional standard deviation is constant or independent of temperature (d) Estimate the correlation coefficient of converted sugar on temperature. (e) Determine and plot the data, the regression line and the 90% confidence interval of the above regression line in the same plot. You need to document all your work!!!! You need to use excel or matlab for all the calculation and plots !!!!!

Answer 1

As per HOMEWORKLIB RULES we should solve only the first four sub parts of the question