What is the best regression model for the following bivariate data? logarithmic exponential linear quadratic

Consider the following model, known as the exponential regression model: Y; = BoefiXi + ui Do you think that you can estimate the model parameters using OLS? Explain. What do you suggest how to estimate the model parameters? How do you think one can proceed estimating these by trial-and-error, or iterative, process?

When you are deciding which variables to include as predictors in a multiple regression equation, what are some conditions that you must consider first?

In Step 2: Construct an estimated simple linear regression model how did you come up with the column X*X ?

In running a logistic regression, a statistician decided to include decade of life (20s, 30s, 40s, 50s, 60s) as a categorical variable in the systematic component because they didn't believe the relationship between the log-odds and age was linear. Using dummy variables to create the systematic component, how many dummy variables would be needed to represented age?