Consider the data set in DS 12.11.9 from the mining industry that shows the amount of ore processed in various locations together with the resulting amount of gold that was obtained. A linear regression model is used to analyze the data with the amount of ore processed as the input variable and with the amount of gold obtained as the output variable.
(a) Calculate the fitted regression line.
(b) Perform a hypothesis lest to assess whether it is a significant regression.
(c) What is the correlation between the amount of ore processed and the amount of gold obtained?
(d) What is the value of the coefficient of determination R2?
(e) Calculate a 95% prediction interval for the amount of gold that will be obtained if 15.0 kilotons of ore are processed.
(f) Calculate the residual value for each data point.