Identify a situation in which two or more variables of interest may be related but the mechanistic model relating the variables is unknown. Collect a random sample of data for these variables and perform the following analyses.

(a) Build a simple or multiple linear regression model.

Comment on your results.

(b) Test for significance of the regression model.

Comment on your results.

(c) Test for significance of the individual regression coefficients.

Comment on your results.

(d) Construct CIs on the individual regression coefficients.

Comment on your results.

(e) Select a value for the regressor variables and construct a CI on the mean response. Comment on your results.

(f) Select two values for the regressor variables and use the model to make predictions. Construct prediction intervals for these values. Comment on your results.

(g) Perform a residual analysis and compute the coefficient of multiple determination. Comment on your results.