Graphical Relationship - Discussion Week 3

Response 2 - Instructions

· Use the regression equation that your peer created to model the relationship between BMI and HDL cholesterol.

· What would you predict the HDL would be for a patient with a BMI of 25? Show your calculations.

· What would you predict the HDL would be for a patient with a BMI of 40? Show your calculations.

· What did you predict would happen to HDL cholesterol as the BMI increased in your main post? Did these predictions support your prediction? Why, or why not?

Week 3 _ Discussion _ Arian Aman Pakray

Graphical Relationship

· Using Excel, calculate the linear correlation coefficient between the data in the BMI and HDL cholesterol columns.

Linear correlation coefficient is -0.331434003

· Explain the mathematical relationship between BMI and HDL cholesterol, based on the linear correlation coefficient. Be certain to include comments about the magnitude (strength) and the direction (positive or negative) of the correlation. As BMI increases, what happens to HDL cholesterol?

The mathematical relationship between BMI and HDL is a weak negative correlation. Correlations are numbers between -1 and 1. The closer it is to either -1 or 1 means a stronger magnitude the closer to 0 means a weaker magnitude. Since the value is -0.33, it is closer to 0 than -1, so it's a weak negative correlation. Therefore, as BMI increases, HDL cholesterol decreases.

Linear Regression and Prediction

· Let’s say we wanted to predict the HDL cholesterol level of a patient based on their BMI.

· Using this sample data, perform a linear regression to determine the line of best fit. Use BMI as your x (independent) variable and HDL as your y (response) variable. Use four (4) places after the decimal in your answer. Paste it in your report.

· What is the equation of the line of best fit (linear regression equation)? Present your answer in form.

y= -1.0104x + 83.7387