Math problem

Question

Given the following data:

Liters of wine per year (x)                           2.5    3.9      2.9     2.4    2.9     0.8      9.1
Deaths from heart disease per 100,000 (y)   211   167    131     191    220    297     71

 

a. Find a linear function that models the data (use linear regression on calculator or excel to do this!)

b. Estimate the deaths per for those that drink 1.25 liters of wine per year.

Answer 1

Thank you for your question! There are a variety of ways to do linear regression computations using technology. I would use something like Excel or an online calculator where you can input in the data set and then it will generate the output of the relationship.

In this case the regression equation that comes from that process is y = -23.88x + 266.63, which would be the linear function that it’s after on part (a).

For part (b), you just want to plug in x = 1.25 into that part of the equation … so it would be

y = -23.88(1.25) + 266.63

y = 236.78 for the estimated value

You can use that same type of process whenever you are doing linear regression calculations! :)