DS 12.11.7 contains data on the measurements of the strength of a chemical solution for different amounts of a catalyst. It is decided to perform a linear regression analysis with strength as the dependent variable and amount of catalyst as the explanatory variable.
(a) Calculate the values of n β^0 , β^1 and σ^.
(b) Perform a two-sided hypothesis test of H0 : β1 = 0 and interpret the result.
(c) If a chemical solution is made with a catalyst amount of 21.0. obtain a range of values for the strength with 95% confidence.
(d) What is the residual for the point (28. 17)?