Question 1 (5 marks) The Billingsley Health Center offers a regimented weight loss program for its customers. The program director monitored 83 men. The file called BHC contains data on the weight they lost after six weeks on the program and the average daily calories each consumed per day. (Use Excel to generate the results of the linear regression) a) Develop a regression model using calories as the independent variable and weight lost as the dependent variable. What percentage of the variation in weight lost is explained by the average calories consumed? b) Test using an alpha = 0.05 level to determine if the regression slope coefficient is statistically significant. c) Use the regression model to describe the relationship between calories consumed and weight lost