1. As part of some ongoing research related to the relationship between smoking and other health decisions, researchers studies the link between the number of cigarettes smoked per day and the BMI of participants. The data are shown in the file "smoking.xlsx."

This question has 3 parts.

A)Discuss the correlation between the two variables, including its significance.

B)What does the value of r² represent in correlation and regression?

C)Conduct a simple linear regression where the number of cigarettes is the independent variable and the BMI is the dependent variable.

1. What is the regression equation?
2. What does the regression equation tell us?
3. Using the output from Excel, explain the standard error and the residual plot.
4. Considering the overall information you see, would you suggest this is a good regression model for predicting BMI from the number of cigarettes smoked per day?