Problem 3 An electric company is studying the relationship between the energy consumption (in thousand kilowatt-hours) and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Rooms 12 9 14 6 10 8 10 10 5 7 Energy Consumption (thousand kWh) 9 7 10 5 8 6 8 10 4 7 a. Determine the regression equation of energy consumption on the number of rooms. b. Interpret the model. c. What is the predicted energy consumption, in thousand kWh, for a six-room house. d. Comment on the goodness of fit of the model. Problem 4 Designers of backpacks use exotic material to make packs that fit comfortably and distribute weight to eliminate pressure points. For fitting a regression model of price of backpack on the capacity (cubic inches) and comfort rating of backpacks, a data for 10 backpacks are used. Comfort was measured using a rating from 1 to 5, with a rating of 1 denoting average comfort and a rating of 5 denoting excellent comfort. The output of the regression model is as follows on the next page