Question

If a regression analysis was to be completed on body mass index (BMI), what could be an independent variable in that analysis? Why? If we could, what other independent variables should be included in the analysis? What statistic(s) would show the value of that regression in understanding BMI?

Answer 1

Body mass index to be calculated via weight and height of the person.

So, if y= BMI

x₁= weight of the person

x₂= height of that same person

Then our regression equation would be:

y= b₀+b₁x₁+b₂x₂+e

Now, here our independent variables are x₁ and x₂.

And, our dependent variable is y.

We will use t-statistic if we are calculating to understand the BMI in terms of variables.(more preferable)

We would use f-statistic if we are calculating to understand the BMI in terms of modelling. (less preferable)