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An analysis is performed to investigate the relationship between cardiovascular exercise and percent body fat. The summary statistics for 20 men and 30 women are:

An analysis is performed to investigate the relationship between cardiovascular 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: for men and for women]

a)Estimate the regression equations relating the number of hrs 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?

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