Question

Perform a simple linear regression to predict y using respondents’ bmi. what is the correct equation for the regression line?

Answer 1

The equation for the regression line in a simple linear regression model is y = mx + b, where y is the predicted value of the dependent variable, m is the slope of the line, x is the value of the independent variable, and b is the y-intercept. The specific equation can be determined by calculating the slope and y-intercept using the given data.

Step-by-step explanation:

The simple linear regression model aims to predict the value of a dependent variable (y) using a single independent variable (bmi in this case). The equation for the regression line is written as:

y = mx + b

Where y is the predicted value of y, m is the slope of the regression line, x is the value of the independent variable (bmi), and b is the y-intercept.

To perform the regression analysis, you would need to calculate the slope (m) and y-intercept (b) using the given sample data. The specific equation for the regression line can be determined once those values are calculated.

Answer 2

The equation for a simple linear regression line is y = mx + b. To perform the regression, find the slope (m) and y-intercept (b) values and plug them into the equation.

Step-by-step explanation:

The equation for a simple linear regression line is represented as y = mx + b. In this case, the independent variable is the respondents' BMI, represented as x, and the dependent variable is y. To perform a simple linear regression, you need to find the slope (m) and y-intercept (b) values. Once you have these values, you can plug them into the equation to create the regression line.