Question

A study of obesity risk in children in a head start program used a food score calculated from a 45‑question food survey to predict body mass index (BMI) percentile in these children 18 months after the initial survey. The study enrolled 20 children. The researchers used a linear regression model for the prediction of BMI percentile. The food scores ranged from 45 to 245.

A regression model has:

a. one unknown parameter to be estimated.

b. two unknown parameters to be estimated.

c. four unknown parameters to be estimated.

d. three unknown parameters to be estimated.

Answer 1

Answer is b

In a linear regression model , regression coefficients are the unknown parameters to be estimated ,

A linear regression is of the for Y = aX+b where X is the independent variable where in we can manipulate or change the values and Y is the dependent variable as the values of Y depend on the values of X, and we have two parameters here a and b where b is called Y intercept and a is called the slope of the line