Answer to Question #184735 in Statistics and Probability for zar

Question

Identify at least three (3) problems that will make use of multiple regression analysis. For each problem,

what are your independent variables, and what is your dependent variable? What level of measurement

that is most appropriate to measure each of the variables whether independent variables or dependent

variable?

Answer 1

1.) You are a public health researcher interested in social factors that influence heart disease. You survey 500 towns and gather data on the percentage of people in each town who smoke, the percentage of people in each town who bike to work, and the percentage of people in each town who have heart disease.

In this problem we have two independent and one dependent variable.

Dependent : Heart disease.

Independent : Smoke and bike to work.

2.) A health researcher wants to be able to predict "VO₂max", an indicator of fitness and health. Normally, to perform this procedure requires expensive laboratory equipment, as well as requiring individuals to exercise to their maximum (i.e., until they can no longer continue exercising due to physical exhaustion). This can put off individuals who are not very active/fit and those who might be at higher risk of ill health (e.g., older unfit subjects). For these reasons, it has been desirable to find a way of predicting an individual's VO₂max based on attributes that can be measured more easily and cheaply. To this end, a researcher recruited 100 participants to perform a maximum VO₂max test, but also recorded their "age", "weight", "heart rate" and "gender". Heart rate is the average of the last 5 minutes of a 20 minute, much easier, lower workload cycling test. The researcher's goal is to be able to predict VO₂max based on these four attributes: age, weight, heart rate and gender.

In this problem we have VO_2_{max} as dependent variable and gender as dependent variable.

3.) Suppose we want to assess the association between BMI and systolic blood pressure using data collected in the seventh examination of the Framingham Offspring Study. A total of n=3,539 participants attended the exam, and their mean systolic blood pressure was 127.3 with a standard deviation of 19.0. The mean BMI in the sample was 28.2 with a standard deviation of 5.3.

In this problem BMI is the independent variable.

Dependent variable : Systolic blood pressure.