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Exercise 1 An analysis is performed to investigate the relationship between cardiovascula exercise and percent body fat. The summary statistics for 20 men and 30 women are: Variable Men Women Mean SD Mean SD # hrs cardio exercise 4.7 2.2 2.5 1.4 %% body fat 20.1 3.1 31.6 8.1 Answer the following questions [Hint: S., =-22.0704 for men and S, =-193.8244 for women] a) Estimate the regression equations relating the number of his of exercise to percent body fat for men and women (separately). b)What is the expected percent body fat for a male who exercised 2 hrs per week? c)What is the expected percent body fat for a woman who does not exercise d) Calculate the correlation between the 2 variables for men and explain your result. e) How much variation in the dependent variable is left unexplained by the model for men? (none, a small amount or a large amount?) f) What is the proportion of observed variation in men? Is this an impressive result