Question
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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