Question

Consider the next linear regression model: ?^=−23.82??+267.19. Where where x is the yearly liters per person of alcohol from wine consumption and y is the yearly deaths per 100,000 people from heart disease for a sample of countries. For every additional liter per person of alcohol from wine consumption, what is the anticipated change in heart disease deaths per 100,000 people? Explain.

Answer 1

The linear regression model is

.....(i)

Where, x is the yearly litres per person of alchohol, from wine consumption, and y is the yearly deaths per 100,000 people from heart disease for a sample of countries.

Now, if the yearly litres per person of alchohol, from wine increases by 1 litre, then the value of x becomes x+1.

Then

.....(ii)

So, now we can say

So, per 100,000 people, there is a decrease of 23.82 deaths, for every additional yearly litre of alchohol per person from wine.