Use α = .05 for all inference on this assignment. 1. We want to m...

1. We want to model HDL cholesterol, using five independent variables: sex (female or male), amount of daily exercise (categorized as low or high), race (Black, Hispanic, or White), age, and systolic blood pressure. We have also included the interaction between sex and exercise in the model. We have data from 783 subjects.

i) Give the p-values, and interpret the results of the tests for race, age, and systolic blood pressure. For race, in addition to the result of the overall test, also interpret the multiple comparison procedure. For age and systolic blood pressure, also give the estimated slope, and interpret what additional information you obtain from these.

The p-value associated for race is <0.0001 which is smaller than 0.05 so we can say that race is significant in the model at 5% level of significance. From the multiple comparison table, we can see that there is a statistically significant difference between found between the Black and Hispanic and Black and White because the least square mean table shows that p-value smaller than 0.05 for these comparison. The coefficient of race (Black vs White) is -3.42778096, it means that HDL cholesterol for Black is 3.42778096 lower as compare to White. The coefficient of race (Black vs Hispanic) is 47.2051795-49.8174049 = -2.6122254, it means that HDL cholesterol for Black is 2.6122254 lower as compare to Hispanic.

The p-value associated for age is 0.0067 which is which is smaller than 0.05 so we can say that age is significant in the model at 5% level of significance. The coefficient of age is -0.03701976, it means if there is a one unit increase in the age the HDL cholesterol will be decreased by 0.03701976 units.

The p-value associated for systolic blood pressure is 0.4765 which is which is bigger than 0.05 so we can say that systolic blood pressure is not significant in the model at 5% level of significance. The coefficient of systolic blood pressure is -0.01847500, it means if there is a one unit increase in the systolic blood pressure the HDL cholesterol will be decreased by 0.01847500 units.