A double pipe heat exchanger is a device that allows energy to be exchanged between a hot liquid and a cold liquid. It consists of two concentric pipes of different diameter. The hot liquid flows through the inner pipe, and the cold liquid How in the gap between the two pipes, usually in the opposite direction to the hot liquid. DS 12.11.4 contains some data obtained from these heat exchangers, listing the energy lost by the hot liquid and the corresponding energy gained by the cold liquid. These values are not equal because of measurement errors, because not all of the energy lost by the hot liquid is absorbed by the cold liquid, and because the cold liquid can absorb energy from sources other than the hot liquid. Perform a linear regression analysis with energy gain as the dependent variable and energy loss as the explanatory variable. What is the fitted model and what is the sample correlation coefficient? What can you predict for the energy gained by the cold liquid when the energy lost by the hot liquid is 500?